Hartnett's Carmelian Cosmology

John Hartnett built a young-earth cosmology on Moshe Carmeli's five-dimensional relativity, claiming galaxy rotation without dark matter, expansion without dark energy, and starlight in transit during creation week. He retracted it in print five times between 2015 and 2024. His own bounded solution turned out identical to the unbounded one.

Draft:  August 2026

Summary

  • John Hartnett's Carmelian cosmology is the most technically ambitious young-earth cosmology ever published, and its author has now withdrawn it in print at least five times.  The dates are 7 February 2015, 19 April 2019, 11 March 2021, 23 June 2021 and 6 December 2024.  Two of those statements retract the underlying physics, not only the creation model built on it.

  • Hartnett is a real experimental physicist.  He worked on ultra-stable cryogenic sapphire oscillators at the University of Western Australia and later at the University of Adelaide, and he published his Carmelian work in the International Journal of Theoretical Physics and Foundations of Physics, not only in creationist journals.  Whatever is wrong with the model, it is not that an amateur wrote it.

  • Moshe Carmeli's theory is genuine published physics.  Carmeli held the Albert Einstein Chair in Theoretical Physics at Ben-Gurion University.  His "cosmological special relativity" adds a fifth coordinate, the recession velocity of a galaxy, and treats the Hubble time τ = 1/H₀ the way ordinary special relativity treats the speed of light.  It was not invented to serve creationism.

  • What Hartnett claimed it bought was real, and two of the three claims were checkable.  Spiral-galaxy rotation curves without dark matter.  The high-redshift supernova magnitudes without dark energy, at a matter density Ωm ≈ 0.021 that matches the measured baryon density.  And, in Starlight, Time and the New Physics (2007), enough time dilation on Day Four for light to cross ten billion light years while less than a day passed on Earth.

  • The theory assumes the Hubble law rather than deriving it.  Hartnett states this himself in his own paper: "The Hubble law is assumed as a fundamental axiom for the universe."  A model that puts the redshift-distance relation in by hand cannot claim that relation as a success.

  • His bounded-universe result is the single most useful thing in this file, and it cuts against him.  Hartnett solved the field equations for a finite universe with our galaxy at the centre and reported that it "is identical with the unbounded solution."  Conner and Page reached the same verdict about Humphreys' bounded universe in 1998.  Two young-earth cosmologies, built independently, both turn out to be observationally indistinguishable from the standard picture they were meant to replace.

  • The outside criticism is thin but not absent, and one piece of it is fatal to a specific claim.  Alan Macdonald showed in 2006 that the time-redshift formula in a paper Hartnett co-authored with Carmeli fails an elementary consistency check: it does not give t = t₀ at z = 0.  Ahmet Öztaş and Michael Smith tested the Carmeli distance relation against 580 Union2.1 supernovae in 2014 and found that it fits, along with several other models with "drastically different physical realities."  Fitting the same data is not evidence for a theory when the data cannot tell the theories apart.

  • The criticism that actually killed it came from Hartnett.  He caught Carmeli making an invalid simplification inside a hard integral, found a mistake in the gravitational-lensing chapter of Carmeli's last book while editing it for World Scientific, deleted sections of that book that "did not make sense," and never found the five-dimensional solution his creation scenario needed.  In February 2015 he wrote that Carmeli's cosmological special relativity "I believe is fundamentally flawed."

  • He treated accelerated expansion as a success in 2005 and doubted it in 2015.  His TJ paper credits Carmeli with predicting acceleration "two years before it was measured."  Ten years later his Creation magazine article asks "does the evidence confirm that the universal expansion is accelerating?"  By December 2024 he had rejected metric expansion altogether, which is why he says Carmeli's cosmology is no longer available to him: "Carmeli's cosmology describes only an expanding universe."

  • Where he stands now is on Jason Lisle's anisotropic synchrony convention, and he has said so continuously since 2019.  As recently as 25 June 2026 he wrote that "the ASC model, as initially promoted by Dr. Jason Lisle, is the best solution."  He remains a young-earth creationist.  He did not leave the position;  he left the model.

  • The lesson is worth stating flatly.  Of the young-earth cosmologies with any technical content, the decaying speed of light was refuted by a creationist's reanalysis, Humphreys moved off the white hole, and Hartnett withdrew the Carmelian model himself.  Three of the field's flagship answers to distant starlight were abandoned by the people best placed to judge them.  Ministry websites still promote some of them.  Hartnett complained about exactly that in 2021.


Who John Hartnett is, and why that matters

Start with the credentials, because the usual reflex on hearing "young-earth cosmology" is to assume the author is not a physicist.  In this case the author is.

John Gideon Hartnett spent most of his career in the Frequency Standards and Metrology group at the University of Western Australia, building cryogenic sapphire oscillators.  Those are the devices that keep time for very-long-baseline radio astronomy and for tests of fundamental physics, and they are among the most stable frequency sources ever built.  His cosmology preprints from 2004 and 2005 carry that address.1  He moved to the University of Adelaide in 2013 and worked there with Dr James Chappell on higher-dimensional generalisations of the Minkowski metric.2  His experimental publication record is in mainstream journals and has nothing to do with creationism.

His cosmology work was published the same way.  The rotation-curve paper is in the International Journal of Theoretical Physics.3  The supernova fit is in Foundations of Physics.4  The bounded-universe solution is in the International Journal of Theoretical Physics again.5  Preprints of all of them sit on arXiv under his own name and university address.146  He also has a paper in Astrophysics and Space Science that killed the best surviving version of the redshift-quantisation claim, which he had previously championed himself.77

That last item is worth pausing on.  Hartnett looked for periodicity in Sloan Digital Sky Survey quasar counts, found it, then found the same periods in the survey's own reliability flag, and published the negative result:  "these redshift periods must result from some selection effect, as yet undetermined.  It does not signal any intrinsic (quantized) redshifts in the quasars."7  He did the same thing in 2018 with the missing Sunyaev-Zel'dovich shadow, an argument he had made for Creation magazine in 2006 and retracted in Journal of Creation twelve years later:  "At best this no-shadow argument is now equivocal and hence I suggest that it should no longer be used as an argument against the big bang hypothesis."88

So the pattern this article documents is not new for him.  Hartnett has a habit of publishing the result that goes against his own earlier position.  That is the behaviour a skeptic should want from anyone, and it is why the retraction record below deserves to be read as evidence about the model rather than as an embarrassment to be explained away.

What Carmeli's theory actually says

Moshe Carmeli was born in Baghdad on 15 June 1933 and died in Beer Sheva on 27 September 2007.9  He took his doctorate at the Technion under Nathan Rosen, who had been Einstein's assistant, and became Albert Einstein Professor of Theoretical Physics at Ben-Gurion University in 1979.9  He wrote standard textbooks on group theory, gauge fields and spinors.  In 1997 he published Cosmological Special Relativity: The Large Scale Structure of Space, Time and Velocity, and over the following decade extended it into a general-relativistic version he called cosmological general relativity.1011

The idea is easier than the algebra makes it look.

In ordinary special relativity you have three space coordinates and one time coordinate.  The speed of light c converts between them, and it is a hard limit:  nothing goes faster.  The invariant interval is ds² = c²dt² − dx² − dy² − dz².

Carmeli built a parallel structure in which the fourth coordinate is not time but the recession velocity of a galaxy in the Hubble flow.  The conversion constant is not c but the Hubble time τ = 1/H₀, which he called the Hubble-Carmeli time constant and evaluated at about 4.28 × 10¹⁷ s, or 13.54 billion years.6  The invariant interval becomes τ²dv² − dx² − dy² − dz² = ds².10

The logic runs from the Hubble law.  Write the Hubble law as R = τv, which is just R = v/H₀ rearranged.  Carmeli sets that beside the equation for light, R = ct, and notes the formal resemblance.10  He then assumes that the combination x² + y² + z² − τ²v² is the same when measured at any cosmic time, exactly as x² + y² + z² − c²t² is the same in any inertial frame.10  Out of that assumption falls a transformation that looks like a Lorentz transformation with t/τ where v/c normally sits.

The consequence that gives the theory its name is the analogue of the speed limit.  In ordinary special relativity nothing exceeds c.  In Carmeli's version nothing exceeds τ:  no cosmic time interval can be longer than the Hubble time.  The universe has a maximum age built into the geometry.  Hartnett read the same structure off the supernova data and described it as showing "that the Hubble expansion of the universe is speed-limited."4

Two features of this deserve emphasis before anything is claimed for it.

Carmeli's cosmological special relativity explicitly assumes gravity is negligible.  His own abstract says so:  "in this theory it is assumed that gravitation is negligible."10  It is a theory of the empty case, and cosmological general relativity is the attempt to put gravity back.

The Hubble law is an input, not an output.  Hartnett states this plainly in the introduction to his supernova paper:  "The Hubble law is assumed as a fundamental axiom for the universe and the galaxies are distributed accordingly."4  He repeated it in 2014 when answering a critic:  "the metric upon which the model is built implicitly assumes the Hubble law as an axiom."1212

That second point is the deepest structural objection to the whole programme, and it does not require any equations to see.  The redshift-distance relation is the central observational fact of extragalactic astronomy.  Standard cosmology derives it from the field equations plus a homogeneous matter distribution.  Carmeli's theory writes it into the metric at the start.  So the theory cannot count agreement with the Hubble law as a success, because agreement was assumed.  What it can legitimately claim is everything downstream of that assumption:  the shape of the magnitude-redshift curve at high redshift, the rotation curves of galaxies, and so on.

The fifth dimension nobody could interpret

The velocity coordinate is where readers get stuck, and Hartnett got stuck there too.

Asked in 2015 what a velocity dimension is, he answered:

"What is a velocity dimension?  I do not know.  Essentially Carmeli treated it as redshift and used the mathematical formalism of Einstein's field equations.  I followed the same approach.  But I have never been happy with his new dimension."22

He had made the same concession in print two years earlier, in a reply to a letter in Journal of Creation:  "I do not know what expansion of space, nor what accelerating space, really means, let alone a velocity dimension describing it."12

There is a defensible position underneath the discomfort.  Every cosmological model is a mathematical structure fitted to a short baseline of observations, and Hartnett's answer to the charge of inventing an unobservable dimension was to ask whether dark energy, inflation, and metric expansion are any better off.12  That is a fair debating point and it is also the point at which the argument stops being about evidence.

The stronger version of the objection, which Hartnett accepted, is that a five-dimensional metric has an extra function's worth of freedom in it, so fitting a rotation curve with one is less impressive than fitting it with four dimensions and no free functions.  Randy Speir put it this way in a 2012 letter published in Journal of Creation in 2013:  "it is not at all surprising that a bonus dimension might well give the appearance of solving the problem of galaxy rotation curves."1313  Hartnett's reply is that he did not expect it to work and was surprised when it did.12  Both things can be true.  A surprised author is still an author with a spare dimension.

What Hartnett claimed the theory bought

Three claims, in the order he made them.

Galaxy rotation curves without dark matter

Stars and gas in the outer disks of spiral galaxies orbit faster than the visible mass can explain.  The standard answer is a halo of unseen matter.  The best-known alternative is Mordehai Milgrom's MOND, which changes Newton's law below a characteristic acceleration a₀ ≈ 1.2 × 10⁻¹⁰ m/s² fitted to the data.

Carmeli's theory produces a MOND-like low-acceleration regime without fitting anything, because a characteristic acceleration falls straight out of the constants:  a₀ = c/τ = cH₀.11  Hartnett worked the metric through for spiral galaxies and got the Tully-Fisher relation, the observed proportionality between a galaxy's luminous mass and the fourth power of its rotation speed.  His paper says the agreement with Milgrom holds "in the low acceleration limit," and that the numerical constant comes out at (2/3)a₀ ≈ 5.2 × 10⁻¹⁰ m s⁻², depending on the precise value of τ.1

That is a genuine theoretical achievement of the same kind MOND claims:  one number, not fitted, reproducing a scaling law across many galaxies.  It is also about four times Milgrom's empirical value, which Hartnett describes as "slightly different."1  A factor of four is not slight.

Hartnett then fitted the rotation curve of NGC 6503 and reported the result honestly, including the part that goes against him.  His derived total galaxy mass came out at 2.0 × 10⁹ M☉ against a published luminosity mass of 4.8 × 10⁹ M☉.  His own comment:  "It is underestimated, which is the reverse of the dark matter problem."1  A theory built to remove missing mass produced missing light instead.  He printed it anyway.

He extended the same treatment to elliptical and spheroidal galaxies in 2008.14

The supernova magnitudes without dark energy

The 1998 discovery of accelerating expansion rests on Type Ia supernovae being fainter at high redshift than a decelerating universe predicts.  Standard cosmology accounts for that with a cosmological constant, about 70 per cent of the energy budget.

Hartnett fitted the same magnitude-redshift data with Carmeli's theory and no dark matter at all.  His best fit gave a matter density Ωm ≈ 0.021, which he pointed out "falls well within the measured values of the baryonic matter density."44  For 185 data points the speed-limited form of his relation gave χ² = 19.94, or χ²/N = 0.108.4  The paper went into Foundations of Physics in 2006.4

This is the claim a skeptic should take most seriously, because it is the one with a number attached.  It says a theory with no dark sector fits the supernova Hubble diagram at a matter density equal to the measured baryon density.  If true and unique, that would be a serious result.

The problem is uniqueness, and the best evidence on that point comes from outside creationism entirely.  See below.

Starlight during creation week

The third claim is the one this article's parent series is about.  In Starlight, Time and the New Physics (2007), Hartnett proposed that God switched on an enormous acceleration of the cosmic expansion at the start of Day Four and switched it off at the end.15  During that one ordinary Earth day, clocks in the distant cosmos ran vastly faster than clocks here, so light had time to cross the universe.

The numbers, as he restated them in 2014:

"Everywhere cosmic clocks 'tick' almost a 10 trillion times faster than Earth clocks for the period of Day 4 of Creation week.  Light then can travel the 8 million light-year distance he speaks of in about half an hour as measured by Earth clocks.  See Fig A6.2 in Appendix 6.  Light from anywhere in a 13 billion-light-year radius could reach Earth in less than 24 hours as measured by Earth clocks."12

The mechanism is that space expands everywhere except inside the solar system.  Earth clocks therefore keep ordinary time while everything outside runs fast.  "Part of the mechanism is that one can calculate an apparent one-way speed of light which becomes enormous by the same magnitudes mentioned here.  But it is not a change in the local speed of light (c), which determines all normal particle and gravitational physics."12

Two things about the book are easy to miss and both matter.

The creation model is not Carmeli's, and Hartnett says so.  Appendices 1 to 5 apply Carmeli's published theory to observations.  Appendix 6 is Hartnett's own five-dimensional extension, which Carmeli never wrote:  "Carmeli only constructed a 4 dimensional (4D) space-velocity model for the Universe.  He never found a full 5D model for the whole Universe, which might be used to construct a history close to the Creation epoch.  I theorised on a new model, call it the Hartnett-Carmeli model if you like, which is 5D."1616

Hartnett never claimed the book proved anything.  His own words in the same post:  "I do not claim it is the answer but if God did something like I describe it could provide us with an understanding of it.  It is a possible solution and I admit there are several potential areas where the solution may be found."16  Anyone quoting Starlight, Time and the New Physics as a settled young-earth answer is claiming more for it than its author ever did.

The bounded universe that made no difference

This is the most useful result in the file, and it is Hartnett's own.

Every young-earth cosmology that uses gravitational or cosmological time dilation needs the universe to have a centre and an edge, with the Earth near the centre.  Without a centre there is no preferred location for clocks to run slow.  Hartnett stated the requirement in his 2005 TJ paper:

"The observations that place the earth near the centre of the universe are consistent with God's focus on mankind.  The Bible implies that there are a finite number of stars, which suggests that the universe is finite.  A creationist cosmology requires a finite universe that is most likely spherically symmetric about our galaxy."1717

So he went and solved it.  He took Carmeli's field equations, put our galaxy at the centre of a finite, bounded, spherically symmetric matter distribution, and found the solution.  The abstract of the paper reports what he found:

"The solution of Einstein's field equations in Cosmological General Relativity (CGR), where the Galaxy is at the center of a finite yet bounded spherically symmetrical isotropic gravitational field, is identical with the unbounded solution."66

He restated it in 2013 when the paper appeared in the International Journal of Theoretical Physics:  "The new solution though is identical with the unbounded solution."1818  And he drew the honest consequence himself:  the supernova data "cannot distinguish between unbounded models and those with finite bounded radii of at least cτ."6

Read that slowly.  A young-earth physicist set out to show the universe has a centre and an edge, succeeded mathematically, and reported that the result is observationally identical to the model without a centre or an edge.  The boundary buys nothing.

The same thing happened to the other flagship model, and by a different route.  In 1998 Samuel Conner and Don Page examined Russell Humphreys' white-hole cosmology, which also requires a bounded universe with Earth near the centre, and concluded that "physical clocks located on Earth and on distant galaxies behave identically in bounded and unbounded Universes which have identical interior matter distributions."1919  That was a critique from outside the model.  Hartnett's is a report from inside it.  The two agree.  See the white hole cosmology article for the Conner and Page case in full.

Two independent bounded young-earth cosmologies, one checked by critics and one checked by its own author, both come out observationally indistinguishable from an unbounded universe.  That is a convergent result and it is worth more than either paper alone.

Hartnett's response to this was philosophical, and he was open about it.  His conclusion in 2013:  "Only philosophically can this solution be rejected."18  He supported it with a line from George Ellis that circulates widely in creationist writing, taken from a 1995 Scientific American profile:  "I can construct you a spherically symmetrical universe with Earth at its center, and you cannot disprove it based on observations… you can only exclude it on philosophical grounds."2020

Ellis says the same thing in his own peer-reviewed survey of the philosophy of cosmology, and there it can be checked.  Section 4.2.2:  "We can easily construct exact spherically symmetric universe models, as indicated by these observations.  In general they will be spatially inhomogeneous, with our Galaxy located at or near the centre;  this is currently a philosophically unpopular proposal, but is certainly possible."2121  He also states the general result as a numbered thesis:  "Establishing a Robertson-Walker geometry for the universe relies on plausible philosophical assumptions.  The deduction of spatial homogeneity follows not directly from astronomical data, but because we add to the observations a philosophical principle that is plausible but untestable."21

The very next sentence in Ellis is the one creationist citations leave out, and it should be printed.  "The purpose of the above analysis is not to seriously support the view that the universe is spherically symmetric and inhomogeneous, as is allowed by the observations, but rather to show clearly the nature of the best observationally-based argument by which we can (quite reasonably) justify the assumption of spatial homogeneity."21  Ellis is mapping the logical structure of an assumption, not endorsing a geocentric matter distribution.  He also gives the argument that does most of the work against one:  the Ehlers-Geren-Sachs theorem says exact microwave-background isotropy for every freely moving observer forces a Robertson-Walker geometry, so the Earth-centred model survives only by denying that other observers see what we see.21

Hartnett is still right that the bounded solution cannot be excluded by any measurement now in hand, and that is a two-edged point.  If the bounded solution cannot be excluded by observation, then it also cannot be supported by observation.  A model that no measurement can distinguish from the standard one has stopped competing with it.  Hartnett later drew this lesson himself and made it a theme:  cosmology is underdetermined, meaning many different models fit the same data, so the choice among them is made on other grounds.2222  That is an honest position.  It is not a young-earth argument.  It is a reason for thinking that no cosmological argument, in either direction, decides much.

The criticism from outside creationism

The published critical literature on Carmeli's cosmology is thin.  Most physicists ignored it rather than refuting it, which Hartnett attributed to its being "a significant departure from the standard model."2  That is probably a fair description of what happened, and it is not by itself a criticism of the theory.  What criticism exists is worth setting out precisely, because it divides cleanly into objections to Carmeli's physics and objections to the fit.

Macdonald 2006: a published comment that finds an elementary error

Alan Macdonald, a mathematician at Luther College in Iowa, published a comment in Foundations of Physics Letters on a paper Carmeli wrote with Hartnett and Firmin Oliveira.23  That paper derived a relation between the cosmic time when light was emitted and its redshift, then modified it to include gravity by swapping the age of the universe t₀ for the Hubble time H₀⁻¹, a step the authors justified because it "seems to be the proper thing to do."23

Macdonald's objection is short enough to state in one line:

"We can see immediately that Eq. (2) is not an exact time-redshift relation.  For it does not give t(0) = t₀, which is obviously true for every cosmological model.  (Eq. (1) does pass this test.)"23

A formula for the age of the universe at redshift zero must return the present age of the universe.  Carmeli, Hartnett and Oliveira's did not.  Macdonald also computed the size of the disagreement with the standard flat ΛCDM model:  "they differ by over half a billion years for 1 ≤ z ≤ 4.5."23

This is a narrow objection.  It hits one formula in one paper, not the whole theory.  But it is the only published, peer-reviewed, non-creationist technical criticism of a Carmeli cosmology paper this project has been able to find, and the authors had written that their equation was "valid for all redshift values."23  No reply from Carmeli, Hartnett or Oliveira has been located.

Öztaş and Smith 2014: the fit is real and it proves nothing

The best test of the supernova claim comes from two authors with no stake in creationism.  Ahmet Öztaş of Hacettepe University and Michael Smith of 4S Fuel Research derived and evaluated a set of cosmological models against the 580-supernova Union2.1 compilation, including Carmeli's.24  Their title tells you where their sympathies lie:  the results present "underwhelming support for the standard model."  They are not defending ΛCDM.

They fitted the Carmeli distance relation Hartnett had published, and it fitted.  So did several others.  Their conclusion is the important sentence:

"This problem is reflected by the inability of even 581 data pairs to allow discrimination between several models examined here, even though these models present drastically different physical realities."24

That is the correct verdict on Hartnett's headline claim, and it is not hostile.  His fit to the supernova Hubble diagram without dark energy is real.  It is also not evidence for his theory, because the supernova magnitudes alone cannot tell his theory apart from several incompatible rivals.  Supernovae are one leg of the modern cosmological case.  The others are the microwave background power spectrum, baryon acoustic oscillations, big bang nucleosynthesis, and the growth of structure.  Carmeli's theory was never fitted to any of them.

The objection with no citation attached, because it needs none

The Hubble law is an axiom of the theory.4  So the theory cannot explain why redshift is proportional to distance;  it starts from that.  Standard cosmology derives the relation from the field equations plus homogeneity, and gets, as a by-product, a prediction for how the relation bends at high redshift.  Carmeli's theory has to be told the relation and then fits the bending with the free constants it has left.  That is a weaker kind of success and it should be labelled as one.

The criticism from inside creationism

One published critique of the Hartnett model exists in the creationist literature, and it went badly for the critic.

Randy Speir, writing from Barry Setterfield's Genesis Science Research site, sent a letter to Journal of Creation in June 2012 raising four objections.  It was published with Hartnett's reply in April 2013.13  Speir later posted a longer version on Setterfield's site, and Hartnett answered it line by line on his blog in January 2014.12

Speir's four objections and what happened to them:

Objection Hartnett's answer Verdict
The velocity dimension is itself a fudge factor, traded for dark matter Agreed: "A new dimension of the velocity of the expansion of space may be a fudge factor" Conceded
A spare dimension makes rotation curves easy to fit It was not obvious the metric would work; he was surprised Fair on both sides
Hartnett is ambivalent about the microwave background Agreed: "Yes, it is true I am ambivalent about the CMB radiation. I do not know its true source" Conceded, and it is a real gap
The Hubble law may not operate in his model The metric assumes the Hubble law as an axiom Speir wrong

The fourth objection is where the exchange turns.  Speir proposed replacing Hartnett's differential equation dr² = H₀⁻²dv² with one containing a constant term for the initial 8-million-light-year radius, and concluded that the model could not deliver distant starlight after all.  Hartnett's reply is blunt:  "This is a differential equation which involves no constant… This proves he does not understand the model, nor, it seems, basic mathematics."12

Hartnett was right on the mathematics.  He was also conceding, in the same exchange, that his fifth dimension may be a fudge factor and that he does not know what the microwave background is.  Speir's letter was the only sustained attempt anyone in the movement made to check the model, and it missed.

One more objection deserves recording because it comes from a young-earth astronomer who has actually read all the models.  Danny Faulkner's 2021 survey of light-travel-time solutions describes Hartnett's work accurately and neutrally, then makes an observation that applies to the whole class:  "many supporters of solutions of the light travel time problem based upon general relativity don't truly understand these solutions."2525  That is the condition in which Hartnett's model was being promoted, and Hartnett came to complain about it himself.

The retractions

Hartnett withdrew this work in public at least five times over nine years.  The dates and the reasons are different each time, and the reasons get deeper as the sequence goes on.  Set them out in order.

7 February 2015: the underlying theory is "fundamentally flawed"

The first and most technical withdrawal is buried in a blog post that answers a former colleague's questions about cosmology.  It gets no headline and it is the most damaging document in the sequence, because it is about Carmeli's physics rather than Hartnett's creation model.

On the velocity dimension:

"What is a velocity dimension?  I do not know.  Essentially Carmeli treated it as redshift and used the mathematical formalism of Einstein's field equations.  I followed the same approach.  But I have never been happy with his new dimension.  And his Cosmological Special Relativity theory (which is where he began, and is the title of his first book on this) I believe is fundamentally flawed.  It has problems which I could not see how to overcome.  But the spacevelocity theory applied to large scale structure of the universe seems to work quite well.  I say this to highlight that his theory has unsolved problems (more than I have mentioned here) and it is not a magic bullet."22

On editing Carmeli's last book for World Scientific after Carmeli's death:

"Working with his personal assistant (with a PhD in cosmology) we found several sections by him, new material never before published, some of which did not make sense.  So we had to delete those sections, because he could not correct them.  So we were acting as not only an editor would but also as referees."2

On the gravitational-lensing chapter of that book, which Hartnett had hoped would let Carmeli's theory take on cluster dark matter:

"On closer examination, with a graduate student, I soon realized that Carmeli had made a mistake and the theory was inconsistent, hence invalid for the purposes he claimed.  So all that to say, Carmeli does not offer any new insights there."2

He gives a fourth technical complaint in the 2016 post:  Carmeli's derivation of the five-dimensional galaxy dynamics rests on "a simplifying assumption on a very-difficult-to-solve integral, which I do not believe is valid," and Hartnett says he raised it with Carmeli in person.16

So the position by early 2015 was: cosmological special relativity fundamentally flawed, the lensing extension mathematically invalid, parts of the final book incoherent enough to delete, and the key galaxy-dynamics derivation resting on a step Hartnett thought was wrong.  What survived was the empirical fit of the four-dimensional space-velocity model to large-scale structure, which he said "seems to work quite well."

19 April 2019: the ASC model is better

The second statement retracts the creation model.

"By August 2015, when I gave the lecture, I had come to the conclusion that Jason Lisle's Anisotropic Synchrony Convention (ASC) model was better than my own Carmeli-Hartnett model."2626

The reasons:

"In the years leading up to 2015 I had discovered several serious inconsistencies with Carmeli's cosmology.  Besides those, there did not exist a viable 5D (space-time-velocity) version that could be used to give a robust description of the early universe on a biblical timeline."26

And the conclusion:

"On this website you'll find articles on my use of Carmeli's cosmology.  They will all remain, but note, that I no longer have much faith in such an approach.  So that brings me up to the present.  I now believe that Lisle's ASC model is the best solution by a long shot."26

Notice the second failure, which is separate from the inconsistencies.  His model needed a five-dimensional solution covering space, time and velocity together, for the universe as a whole, near the creation epoch.  Carmeli never produced one.  Neither did Hartnett.  Appendix 6 of the book was a linearised sketch of what such a solution might look like, not the solution.

11 March 2021: it has too many problems, and it is still being promoted

The third statement is in a post about why Hartnett stopped writing for Creation Ministries International.  The post's main subject is a dispute over vaccines and editorial policy that has nothing to do with cosmology, and readers should know that before following the link.  The cosmological paragraph stands on its own:

"My own cosmological model, which I developed using Carmeli's cosmology, has too many problems and I have since abandoned it.  Even so it is still promoted as a viable model, even in their premier publication, see chapter 5 of the Creation Answers Book.  But Jason Lisle's model is not mentioned at all."2727

That complaint was accurate and it has stayed accurate.  The Creation Ministries International page listing arguments creationists should avoid still says, in the same paragraph where it retires the decaying speed of light, that "CMI currently believes that both Dr Russell Humphreys' and Dr John Hartnett's cosmologies (both involving relativistic time dilation) provide viable solutions for the distant starlight problem."2828  One of those two authors has retracted his cosmology in writing.  The other has moved to a different model, which Danny Faulkner reported in 2021:  "Many supporters of the white hole cosmology don't know that Humphreys has since abandoned his model."25

23 June 2021: "I have moved on, so should you"

The fourth statement is the shortest and the most quoted.  Hartnett went back to his 2016 post defending the model and appended an update:

"Important update June 23, 2021:  I have given up on this model.  I have now abandoned this model.  There are too many inconsistencies and besides we never found a full 5D (space, time and velocity) solution for the whole universe.  I have moved on, so should you."1616

The last four words are addressed to his own readers.

6 December 2024: the universe may not be expanding at all

The fifth statement adds a reason that none of the others gave, and it is the one that closes the door.

"By the way I gave up on Carmeli's cosmology some years ago for a few reasons.  I came to the view that the universe is not expanding but Carmeli's cosmology describes only an expanding universe."2222

This is a bigger move than it looks.  Carmeli's fifth coordinate is the recession velocity of a galaxy in the Hubble flow.  If there is no Hubble flow, the coordinate has nothing to measure.  A physicist who concludes that space does not expand has not merely lost confidence in Carmeli's theory;  he has removed the thing the theory is about.

Hartnett had been arguing against metric expansion since at least 2011, in a two-part Journal of Creation review, and again in Answers Research Journal in 2014.2930  The 2024 post is where he states that the earlier conclusion is what finished the Carmelian model.

The trajectory on cosmic acceleration, laid out by date

One thread runs through the whole story and it is worth pulling out separately, because it shows how far the position moved.

2005.  Hartnett's TJ paper treats accelerated expansion as a triumph of the theory he is using.  His own sentence, on page 78:  "With this model, Carmeli was able to successfully predict an accelerating expanding universe, two years before it was measured from high-z supernova redshift observations in 1997–1998."17  In the same paper he describes Carmeli's equations as giving a three-stage expansion history:  deceleration, a moment of coasting, then acceleration.17

2006.  The Foundations of Physics paper fits the high-redshift supernova magnitudes in the Carmeli framework and reports the fit as successful.4  The whole point of the exercise is that the accelerating universe can be reproduced without dark energy.

2011.  In Journal of Creation he publishes the case against cosmic expansion, concluding that "the simple non-expanding Euclidean universe fits most data with the least number of assumptions."2929  He was still publishing Carmelian expanding-universe papers at the time.

2013.  The bounded Carmelian solution appears in the International Journal of Theoretical Physics, and it is an expanding-universe model.5

2014.  "Expansion of Space:  A Dark Science" in Answers Research Journal, arguing against metric expansion, published in the same journal where Danny Faulkner argues the opposite.30

2015.  Creation magazine, on dark energy:  "Supposedly, dark energy is a confirmed fact.  But does the evidence confirm that the universal expansion is accelerating?"3131  Ten years after crediting Carmeli with predicting acceleration, he is asking whether acceleration happens.  What follows in that article is Richard Lieu's argument that cosmology cannot be an experimental science, not an examination of the evidence for acceleration.  Baryon acoustic oscillations, the integrated Sachs-Wolfe effect and cluster abundance evolution are not discussed.  The dark energy article works through what he left out.

2024.  "I came to the view that the universe is not expanding but Carmeli's cosmology describes only an expanding universe."22

2025.  He still cites his own Carmeli supernova fit, but for a different purpose.  It is now an example of underdetermination, offered to show that a non-dark-matter fit to the same data exists, not a model he holds:  "One such example of that is the work I did myself on the Carmeli cosmology that showed excellent fit to the same high-z SNe data without any DM… Both of these cosmologies are expanding universe cosmologies."3232

There is a thirteen-year window, from 2011 to 2024, in which Hartnett was publishing arguments against cosmic expansion while his own cosmology required it.  He does not appear to have addressed the tension in print until the 2024 post.  A skeptic is entitled to notice that, and so is a creationist.

Where Hartnett stands now

He is still a young-earth creationist.  He did not leave the position;  he left the model, and he says which model replaced it.

His answer since 2019 has been Jason Lisle's anisotropic synchrony convention, which holds that the one-way speed of light toward an observer is a matter of convention, and that Scripture uses the convention in which it is infinite.  On that convention there is no light-travel-time problem at all, because there is no travel time.  Hartnett has restated this repeatedly and recently.  On 25 June 2026:

"My current thinking is that the ASC model, as initially promoted by Dr. Jason Lisle, is the best solution.  Under the assumption of the Anisotropic Synchrony Convention (ASC) we observe the whole universe in real time because that convention assumes the incoming speed of light is infinite towards the observer.  Hence there is no travel time and no problem."3333

He is explicit that the price of this is created maturity:  "The ASC model necessarily assumes what we would call mature creation.  That is the galaxies in the universe were created essentially the same condition as we currently see them now."33  See the anisotropic synchrony convention article for what that convention does and does not buy.

He also holds two positions that put him at odds with most of the young-earth cosmology community.  He thinks space does not expand, which contradicts Humphreys' white hole, Faulkner's models, and his own former one.  And he thinks cosmology is underdetermined in a way that makes any cosmological argument weak, in either direction.  His 2011 Journal of Creation conclusion is the clearest statement of it:  "it would be a mistake to base one's theology on any particular cosmology."29

That sentence, from the author of the most technically developed young-earth cosmology ever published, is the most useful thing in this article.

What the model would have needed to succeed

Set aside the retractions for a moment and ask what it would have taken for the Carmelian creation cosmology to become a serious scientific claim rather than a possibility.  Four things, none of which arrived.

A five-dimensional solution.  The creation scenario needs space, time and velocity treated together, near the creation epoch, for the whole universe.  Carmeli produced a four-dimensional space-velocity model and never got further.  Hartnett's Appendix 6 is a linearised extension, and he called the result "only a sketch of what I hoped would crystallise."16  Twelve years of work did not close the gap, and Hartnett names this failure in three of his five withdrawals.

A physical account of the velocity dimension.  Not a mathematical role, a physical meaning.  Hartnett asked for one and never found one.  Carmeli treated it as redshift.  A coordinate whose interpretation is "the thing we measure that we are trying to explain" is doing bookkeeping, not physics.

A prediction that ΛCDM does not make.  The supernova fit is not one, because Öztaş and Smith showed several incompatible models fit the same 580 points.24  The bounded solution is not one, because Hartnett showed it is identical to the unbounded solution.6  The rotation-curve result is the closest thing to a prediction in the whole programme, and it is a shared prediction with MOND at a different value of the constant.

A treatment of the microwave background.  Hartnett conceded he did not have one:  "I do not know its true source."12  The power spectrum of the microwave background is the single most information-rich dataset in cosmology, and no young-earth model has ever been fitted to it.  Andrew Repp made the same point in the Creation Research Society Quarterly in 2022.3434

Judged against that list, the fair verdict is not that the Carmelian cosmology was refuted.  It is that it was never finished, and its author was the first to say so.

Objections and responses

"You are quoting a creationist against creationism.  That is dishonest."  Every negative verdict here is Hartnett's own, published under his own name, on his own website, and this article says so at every step.  The alternative is worse:  keep citing Starlight, Time and the New Physics as a live answer when its author has told his readers five times to stop.  A movement that lets its own retractions be quietly forgotten is the one behaving dishonestly.

"He abandoned it for personal or political reasons, not scientific ones."  The 2021 post about Creation Ministries International is indeed mostly about an editorial and vaccine dispute, and this article flags that.  But the technical reasons are in the 2015 and 2016 posts, which predate the dispute and concern the mathematics:  an invalid simplification inside an integral, an inconsistent lensing derivation, sections of Carmeli's last book that had to be deleted because they made no sense, and the missing five-dimensional solution.  Those are physics reasons, given first, by the person who did the work.

"Carmeli's theory is still viable even if Hartnett's creation model is not."  Possibly, and that distinction is worth keeping.  Carmeli's four-dimensional space-velocity model still fits the supernova data, and Öztaş and Smith reproduced that fit independently in 2014.24  What has not survived is any claim that this counts as evidence.  The same data fit several incompatible models, the Hubble law is put in by hand, the theory has never been fitted to the microwave background or to nucleosynthesis, and the person who developed it furthest says the special-relativistic foundation is "fundamentally flawed."2

"Mainstream physicists ignored Carmeli because it threatened the standard model."  Hartnett said something close to this, and it is partly true:  his own account is that the theory was ignored because it was "a significant departure from the standard model."2  But a theory that is ignored is not thereby vindicated.  Carmeli's papers were on arXiv, in Foundations of Physics, and in the International Journal of Theoretical Physics.  When someone did read them carefully, the result was Macdonald's comment, which found an elementary error in the time-redshift relation and got no published reply.23

"The bounded solution proves the universe could have a centre, which is what creationists have always said."  It proves that a centred universe is not excluded by the supernova data.  That is worth something and it is not worth much, because the same result says a centred universe is not supported by them either.  George Ellis, whom creationists quote for the first half of this, states the general point and then declines the conclusion:  he is showing "the nature of the best observationally-based argument by which we can (quite reasonably) justify the assumption of spatial homogeneity," not defending an Earth-centred cosmos.21

"So does distant starlight refute a young universe or not?"  This article does not settle that, and no honest treatment of one model could.  What it settles is that the Carmelian answer is not available.  The survey of all eight published answers works through the rest.  The short version:  created light in transit implies a sky full of events that never happened, the decaying speed of light was refuted by a creationist's reanalysis, and the anisotropic synchrony convention survives but changes no observation by its author's own account.

"Hartnett is a crank.  Look at what else he writes."  His blog since about 2020 carries material on vaccines, finance and geopolitics that has nothing to do with physics and that this project does not endorse or rely on.  None of that touches the physics.  His experimental work on cryogenic oscillators stands, his Astrophysics and Space Science paper killing the quasar-periodicity claim stands, and his retraction of his own cosmology is more careful and better documented than most retractions in any field.  Judging the physics by the blog would be the same error as judging it by the ministry that promotes it.

What would change the verdict

A published reply to Macdonald.  The comment appeared in Foundations of Physics Letters in November 2006.  No response by Carmeli, Hartnett or Oliveira has been located.  If one exists, it belongs in this article.

A full five-dimensional Carmelian solution.  Hartnett names its absence as a reason in three of his five withdrawals.  If someone produces one, the creation scenario becomes testable again for the first time since 2007.

A Carmelian fit to the microwave background power spectrum.  Nobody has attempted it.  Repp said so in the Creation Research Society Quarterly in 2022 and it remains true.34

Direct measurement of the MOND acceleration constant.  Carmeli's theory predicts a₀ = cH₀ with no freedom.  MOND fits a₀ = 1.2 × 10⁻¹⁰ m s⁻² to rotation curves.3535  Those differ by a factor of several.  A sharper measurement of the low-acceleration scale across many galaxies is a live test of Carmeli's version specifically, and nobody in the creationist literature has run it.

Evidence that space does not expand.  Hartnett's current position rests on it, and so does Jason Lisle's Doppler model.  The Tolman surface-brightness test and the time dilation of distant supernova light curves are the standard measurements on this question, and the redshift article works them through.

What this case shows

Three of the young-earth cosmologies with real technical content have now been abandoned by the people best placed to judge them.

Barry Setterfield's decaying speed of light was refuted inside the movement by Gerald Aardsma, then head of the Institute for Creation Research's astro/geophysics department, whose weighted refit of the same 163 historical measurements gave a decay rate of 0.0000140 ± 0.0000596 km/s/year, consistent with zero.3636  Russell Humphreys built a second cosmology and then a third;  Danny Faulkner reports that "Humphreys has since abandoned his model," and Jason Lisle reports the same from a conversation with him.2537  John Hartnett withdrew his own model five times in writing.

None of that is evidence against a young universe.  It is evidence about the state of a research programme, and it points in one direction:  the technical young-earth cosmologies do not survive contact with their own authors' second thoughts.

The honest thing to say to a skeptical reader is that the light-travel-time problem is unsolved, that the movement's own survey literature says so, and that the most careful physicist who ever worked on it now holds a position that makes no cosmological claim at all.  Hartnett's sentence from 2011 is the right place to end:  "it would be a mistake to base one's theology on any particular cosmology."29

Sources


  1. 1.

    Hartnett, John G.  “The Carmeli metric correctly describes spiral galaxy rotation curves.”  arXiv:gr-qc/0407082.  Jul 22, 2004.  A preprint by John G. Hartnett of the University of Western Australia (version 6 is dated 4 April 2005), arguing that Carmeli's extension of general relativity explains spiral galaxy rotation without dark matter.  It derives the Tully-Fisher relation, the link between a galaxy's mass and the fourth power of its rotation speed, from the theory's own equations, and fits the rotation curve of NGC 6503.  The article uses it for the theory's characteristic acceleration and for Hartnett's claim that the theory gives the Tully-Fisher relation without dark matter. ↩ ↩

    1. 1a.

      “School of Physics, the University of Western Australia, 35 Stirling Hwy, Crawley 6009 WA Australia,”.  The contact address is john@physics.uwa.edu.au.  The same affiliation appears on arXiv:astro-ph/0501526 and arXiv:astro-ph/0508367. ↩

    2. 1b.

      Section §I:  “where ρm is the mass density and a₀ the universal characteristic acceleration a₀ = c/τ.  As usual c is the speed of light in vacuo.” ↩

    3. 1c.

      Section §I:  “Hence the latter is consistent with Milgrom's phenomenological approach in the low acceleration limit.”  Section §IV:  “(2/3)a₀ ≈ 5.2 × 10⁻¹⁰ m s⁻², depending on the precise value of τ.” ↩

    4. 1d.

      Section §I:  “As a consequence a universal constant a₀ (in this case, slightly different to Milgrom's) is introduced as the minimum acceleration in the cosmos.” ↩

    5. 1e.

      Section §III:  The galaxy is NGC 6503.  “The total mass of the galaxy is then M(r = 15 kpc) = M₀ + 4πAz₀r = (1.836 + 0.165) × 10⁹ M☉.  Therefore the disk comprises 8.9% of the total galaxy mass and the total mass of the galaxy equals 2.0 × 10⁹ M☉.  This compares with published value of 4.8 × 10⁹ M☉ for the luminosity mass of the galaxy.  It is underestimated, which is the reverse of the dark matter problem.  But most importantly no dark matter is needed to explain the rotation curve.” ↩

  2. 2.

    Hartnett, John G.  “An Update: Correspondence on Cosmology.”  Bible Science Forum.  Feb 7, 2015.  A web post that reproduces a former colleague's questions with Hartnett's answers interleaved.  Everything quoted from it is Hartnett's own text.  The article uses it for Hartnett's own statements about Moshe Carmeli's theory, on which his cosmology was built. ↩ ↩

    1. 2a.

      “What is a velocity dimension?  I do not know.  Essentially Carmeli treated it as redshift and used the mathematical formalism of Einstein's field equations.  I followed the same approach.  But I have never been happy with his new dimension.” ↩

    2. 2b.

      “And his Cosmological Special Relativity theory (which is where he began, and is the title of his first book on this) I believe is fundamentally flawed.  It has problems which I could not see how to overcome.  But the spacevelocity theory applied to large scale structure of the universe seems to work quite well.  I say this to highlight that his theory has unsolved problems (more than I have mentioned here) and it is not a magic bullet.” ↩ ↩

    3. 2c.

      “I acted as the Editor of his last book (which I contributed chapters to).  Carmeli had contracted to World Scientific to produce the book 'Relativity: Modern Large-Scale Spacetime Structure of the Cosmos' but he died in 2007 before he could finish it.  His wife asked me if I could help… Working with his personal assistant (with a PhD in cosmology) we found several sections by him, new material never before published, some of which did not make sense.  So we had to delete those sections, because he could not correct them.  So we were acting as not only an editor would but also as referees.” ↩

    4. 2d.

      “On closer examination, with a graduate student, I soon realized that Carmeli had made a mistake and the theory was inconsistent, hence invalid for the purposes he claimed.  So all that to say, Carmeli does not offer any new insights there.” ↩

    5. 2e.

      “His was a big bang model.  But it was ignored by physicists because it was a significant departure from the standard model.” ↩ ↩

    6. 2f.

      “I think this must be about work I have been doing with Dr Chappell at the University of Adelaide.  See here.  This work generalizes the Minkowski metric of spacetime to higher dimensions in the sense that time gets new dimensions which are quaternions.” ↩

  3. 3.

    Hartnett, John G.  “Spiral Galaxy Rotation Curves Determined from Carmelian General Relativity.”  International Journal of Theoretical Physics 45(11):2118–2136.  2006.  A paper by John G. Hartnett that applies Carmeli's theory to spiral galaxy rotation curves, the speeds at which stars and gas orbit as their distance from the centre grows.  Hartnett's own later reference lists give the pages as 2147–2165.  The article uses it for the journal paper on rotation curves. ↩

  4. 4.

    Hartnett, John G.  “The distance modulus determined from Carmeli's cosmology fits the accelerating universe data of the high-redshift type Ia supernovae without dark matter.”  arXiv:astro-ph/0501526.  Jan 25, 2005.  A preprint by John G. Hartnett of the University of Western Australia (version 6 is dated 15 December 2005) that fits Carmeli's theory to the brightness and redshift data of distant type Ia supernovae, exploding stars whose light measures how fast the universe expands, with no dark matter.  The best fit gives a matter density of Ωm ≈ 0.021, and the paper calls the Hubble law a fundamental axiom.  The article uses it for that fit, for the speed limit on the expansion and for the admission that the Hubble law is an assumption.

    1. 4a.

      The arXiv preprint, posted 25 January 2005 and revised to version 6 on 15 December 2005. ↩ ↩

    2. 4b.

      Section abstract:  “For the first time the observational magnitude-redshift data derived from the high-z supernova teams has been analysed in the framework of the Carmeli theory and the fit to that theory is achieved without the inclusion of any dark matter.  Best fits to the data yield an averaged matter density for the universe at the present epoch Ωm ≈ 0.021, which falls well within the measured values of the baryonic matter density.  And the best estimate of ΩΛ + Ωm ≈ 1.021 at the present epoch.” ↩

    3. 4c.

      Section §I, Introduction:  “The Hubble law is assumed as a fundamental axiom for the universe and the galaxies are distributed accordingly.” ↩ ↩

    4. 4d.

      Section abstract:  “The analysis also clearly distinguishes that the Hubble expansion of the universe is speed-limited.” ↩

    5. 4e.

      “there are a total of N = 185 data and the residual for the speed-limited version of (13) is R = 0.9960, with χ² = 19.94 and hence χ²/N = 0.1078.  The residual for the non-speed-limited version of (13) is R = 0.9927, with χ² = 37.465 and hence χ²/N = 0.2036.” ↩

    6. 4f.

      The published version, under the same title, in Foundations of Physics 36, no. 6 (2006): 839–861.  DOI 10.1007/s10701-006-9047-y. ↩ ↩ ↩

  5. 5.

    Hartnett, John G.  “A Valid Finite Bounded Expanding Carmelian Universe Without Dark Matter.”  International Journal of Theoretical Physics 52:4360–4366.  Aug 18, 2013.  A 2013 paper by John G. Hartnett presenting a finite, bounded expanding universe without dark matter.  The article uses it as the journal publication of the bounded-universe solution. ↩ ↩

  6. 6.

    Hartnett, John G.  “Finite bounded expanding white hole universe without dark matter.”  arXiv:astro-ph/0508367.  Aug 17, 2005.  A preprint by John G. Hartnett of the University of Western Australia (version 4 is dated 17 April 2007) of the paper he published in the International Journal of Theoretical Physics in 2013.  It places the Galaxy at the centre of a finite, bounded sphere of matter and finds that the solution is identical to the unbounded one, so the supernova data cannot tell the two models apart.  The article uses it for the bounded-universe solution and for Hartnett's admission that the data cannot distinguish the models. ↩ ↩

    1. 6a.

      Section abstract:  “The solution of Einstein's field equations in Cosmological General Relativity (CGR), where the Galaxy is at the center of a finite yet bounded spherically symmetrical isotropic gravitational field, is identical with the unbounded solution.  This leads to the conclusion that the Universe may be viewed as a finite expanding white hole.” ↩ ↩

    2. 6b.

      Section abstract:  “The fact that CGR has been successful in describing the distance modulus verses redshift data of the high-redshift type Ia supernovae means that the data cannot distinguish between unbounded models and those with finite bounded radii of at least cτ.”  The spelling "verses" is as printed in the preprint. ↩

    3. 6c.

      Section §1, Introduction:  “providing that the radius of the Universe (a spherically symmetrical matter distribution) is at least cτ where c is the speed of light and τ ≈ 4.28 × 10¹⁷ s (or 13.54 Gyr).  Here τ is the Hubble-Carmeli time constant, or the inverse of the Hubble constant evaluated in the limits of zero gravity and zero distance.” ↩

  7. 7.

    Hartnett, John G.  “Unknown selection effect simulates redshift periodicity in quasar number counts from Sloan Digital Sky Survey.”  Astrophysics and Space Science 324:13–16.  2009.  A short paper in which Hartnett ran a Fourier analysis, a method for finding repeating cycles in data, on quasar counts from the Sloan Digital Sky Survey.  He found repeating redshift intervals, then found the same intervals in the survey's own reliability flag, and so concluded they came from a selection effect rather than from the quasars.  The article uses it as the negative result Hartnett published against an earlier claim of his own. ↩

    1. 7a.

      Section abstract:  “Discrete Fourier analysis on the quasar number count, as a function of redshift, z, calculated from the Sloan Digital Sky Survey DR6 release appears to indicate that quasars have preferred periodic redshifts with redshift intervals of 0.258, 0.312, 0.44, 0.63, and 1.1.  However the same periods are found in the mean of the zConf parameter used to flag the reliability of the spectroscopic measurements.  It follows that these redshift periods must result from some selection effect, as yet undetermined.  It does not signal any intrinsic (quantized) redshifts in the quasars.” ↩ ↩

  8. 8.

    Hartnett, John G.  “Big bang casts no shadows and the retraction.”  Journal of Creation 32(2):3–4.  2018.  A retraction in which Hartnett withdraws his argument that the big bang predicts a shadow in front of galaxy clusters that is not seen.  The article uses it for his 2018 retraction of an argument he had made in 2006. ↩

    1. 8a.

      “Without anything to contradict this new result, and the analysis seems strong, one must entertain the possibility that the anomaly first found by Lieu et al in 2006 has been adequately explained… At best this no-shadow argument is now equivocal and hence I suggest that it should no longer be used as an argument against the big bang hypothesis.”  The paper that changed his mind is Xiao, Chen, Zhang, Wu and Dai, MNRAS Letters 432 (2013): L41. ↩

  9. 9.

    O'Connor, J. J., and E. F. Robertson.  “Moshe (Ehezkel) Carmeli.”  MacTutor History of Mathematics Archive.  University of St Andrews.  n.d.  A biography of the physicist Moshe Carmeli in the MacTutor History of Mathematics Archive at the University of St Andrews.  The article uses it for Carmeli's birth and death dates, his doctorate under Nathan Rosen, and his post at Ben-Gurion University. ↩

    1. 9a.

      “Born 15 June 1933 Baghdad, Iraq.  Died 27 September 2007 Beer Sheva, Israel.”  “he began to work on his doctoral thesis under the supervision of Nathan Rosen who had been a student of Albert Einstein.  Carmeli finished his D.Sc. from the Technion, Haifa in 1964.”  “In 1972 the Carmeli family returned to Israel, and Moshe was appointed Associate Professor of Physics in the Physics Department of Ben Gurion University, Beer Sheva.  He became Professor in 1974… He became Albert Einstein Professor of Theoretical Physics in 1979.” ↩

  10. 10.

    Carmeli, Moshe.  “Aspects of Cosmological Relativity.”  arXiv:gr-qc/9907080.  Jul 25, 1999.  A review lecture by the theory's author, Moshe Carmeli of Ben-Gurion University, restating the theory he first set out in Cosmological Special Relativity: The Large Scale Structure of Space, Time and Velocity (World Scientific, 1997).  It is his own statement of the theory's starting assumptions, including that gravity is negligible.  The article uses it to show what the theory assumes and how its equations are built. ↩

    1. 10a.

      Section abstract:  “In this paper we review the cosmological relativity, a new special theory of relativity that was recently developed for cosmology, and discuss in detail some of its aspects.  We recall that in this theory it is assumed that gravitation is negligible.  Under this assumption, the receding velocities of galaxies and the distances between them in the Hubble expansion are united into a four-dimensional pseudo-Euclidean manifold, similarly to space and time in ordinary special relativity.” ↩

    2. 10b.

      Section §2, eqn. 2:  “If we denote by τ = H₀⁻¹ the Hubble time, then τ can be considered as the age of the Universe in this particular case of neglecting gravity.  We write the Hubble law in the trivially different form R = τv, in order to compare it with the well-known expression for the propagation of light, R = ct.” ↩

    3. 10c.

      Section §2, eqn. 5:  “It will furthermore be assumed that a relationship of the form (4) holds at any cosmic time t… x′² + y′² + z′² − τ²v′² = x² + y² + z² − τ²v².  Equation (5) resambles that for the propagation of light viewed from two different inertial frames of references moving with a constant velocity with respect to each other.  In our case we have what might be called cosmic frames of references which differ from each other by a cosmic time.”  The misspelling of "resembles" is as printed in the preprint. ↩

    4. 10d.

      Section §5, eqn. 9:  “The line element for the Universe is given by τ²dv² − dx² + dy² + dz² = ds².”  The sign placement is as printed in the preprint, and the intended reading is τ²dv² − (dx² + dy² + dz²). ↩

  11. 11.

    Behar, Silvia, and Moshe Carmeli.  “Cosmological Relativity: A New Theory of Cosmology.”  arXiv:astro-ph/0008352.  Aug 23, 2000.  A paper by Silvia Behar and Moshe Carmeli that extends the theory into general relativity, the extension the article calls cosmological general relativity.  It was published as International Journal of Theoretical Physics 39 (2000): 1375–1396.  The article uses it for that extension. ↩

  12. 12.

    Hartnett, John G.  “Response to 'Challenge to the Hartnett Model'.”  Bible Science Forum.  Jan 29, 2014.  A blog post in which Hartnett answers Randy Speir's critique line by line.  Speir's text and Hartnett's replies are interleaved;  all quotations marked 'JGH' are Hartnett's.  The post is dated 29 January 2014, with updates dated 25 April 2014.  The article uses it for Hartnett's own admissions about his model's foundations, including that the Hubble law is built in as an axiom. ↩ ↩

    1. 12a.

      Hartnett's reply to Speir.  “This is ludicrous because the metric upon which the model is built implicitly assumes the Hubble law as an axiom.” ↩

    2. 12b.

      Hartnett, quoting his own 2013 Journal of Creation reply:  “I do not know what expansion of space, nor what accelerating space, really means, let alone a velocity dimension describing it.  True it is 'just mathematics' but so are all cosmologies.  One cannot do an experiment on the universe to test it or sample many universes to see what a typical universe should look like.” ↩

    3. 12c.

      Hartnett's answer to the charge of inventing an unobservable dimension.  “That is just a matter of his opinion.  What is real in cosmology seems to be just how well you can convince others.  Are dark energy, inflation, the CMB as the afterglow of the big bang or even expansion of space real?” ↩

    4. 12d.

      Hartnett's reply to Speir.  “It was not obvious to me that Carmeli's approach would solve the galaxy rotation curve problem… I applied the Carmeli model and discovered it could describe their dynamics without dark matter.” ↩

    5. 12e.

      Hartnett, quoting his own 2013 Journal of Creation reply:  “Yes, it is true I am ambivalent about the CMB radiation.  I do not know its true source.  Who can?”  On the fudge-factor concession:  “Actually I agree with him… A new dimension of the velocity of the expansion of space may be a fudge factor.” ↩

    6. 12f.

      “The speed of light is a constant in the model.  Everywhere cosmic clocks 'tick' almost a 10 trillion times faster than Earth clocks for the period of Day 4 of Creation week.  Light then can travel the 8 million light-year distance he speaks of in about half an hour as measured by Earth clocks.  See Fig A6.2 in Appendix 6.  Light from anywhere in a 13 billion-light-year radius could reach Earth in less than 24 hours as measured by Earth clocks.” ↩

    7. 12g.

      “Part of the mechanism is that one can calculate an apparent one-way speed of light which becomes enormous by the same magnitudes mentioned here.  But it is not a change in the local speed of light (c), which determines all normal particle and gravitational physics.”  On where the expansion does not act:  “The expansion of space occurs throughout the whole universe but outside the solar system, which undergoes no expansion.” ↩

    8. 12h.

      “No, that is incorrect.  This is a differential equation which involves no constant.  It shows the rate of change of the expansion after the expansion begins.”  The second sentence quoted in the body comes from the update Hartnett appended on 25 April 2014.  “The correct equation applies in the limit where v → 0 then r → 0.  This is the Hubble law in the limit of small distances.  This proves he does not understand the model, nor, it seems, basic mathematics.” ↩

  13. 13.

    Speir, Randy.  “Starlight, time and the new physics.”  Journal of Creation 27(1):54–56.  Apr 2013.  A letter to the editor of Journal of Creation, dated 21 June 2012, with a reply by Hartnett.  Speir also published a longer version on Barry Setterfield's Genesis Science Research site, which Hartnett reproduced in full, with permission, and answered line by line.  The article uses it for Speir's point that a bonus dimension can make a fit to galaxy rotation curves look like a solved problem, a point Hartnett accepted. ↩ ↩

    1. 13a.

      Speir, in the letter:  “But if you know even the basics of metrics and the physical orientations of their terms, it is not at all surprising that a bonus dimension might well give the appearance of solving the problem of galaxy rotation curves (a feat to which he lays claim in Appendix 3).” ↩

  14. 14.

    Hartnett, John G.  “Spheroidal and Elliptical Galaxy Radial Velocity Dispersion Determined from Cosmological General Relativity.”  International Journal of Theoretical Physics 47(5):1252–1260.  2008.  A paper by John G. Hartnett applying Cosmological General Relativity, the extension of Carmeli's theory, to elliptical and spheroidal galaxies.  Its radial velocity dispersion is the spread of the speeds of the stars along the line of sight.  A preprint is arXiv:0707.2858.  The article uses it for the 2008 extension of the rotation-curve work to elliptical galaxies. ↩

  15. 15.

    Hartnett, John G.  Starlight, Time and the New Physics.  Creation Book Publishers, Powder Springs, GA.  2007.  The 2007 book in which Hartnett sets out his proposal (ISBN 978-0-949906-68-7).  The article cites it for the proposal that God switched on an enormous acceleration of the cosmic expansion at the start of Day Four and switched it off at the end, so that light had time to cross the universe. ↩

  16. 16.

    Hartnett, John G.  “Does My Use of Carmeli's Cosmology Provide a Valid Solution to the Starlight-Travel-Time Problem?”  Bible Science Forum.  Nov 19, 2016.  A web post in which Hartnett asks whether the model in his book, built on Moshe Carmeli's cosmology, solves the starlight-travel-time problem, which is how light from distant galaxies could reach Earth in a universe about 6,000 years old.  He calls the result a sort of hybrid cosmology and a possible solution rather than the answer, and a 2021 update says he abandoned it because of inconsistencies.  The article uses it to show that the five-dimensional model is Hartnett's own extension and that he never claimed it proved anything. ↩ ↩

    1. 16a.

      “That means it is no longer Carmeli's cosmology but a sort of hybrid cosmology.  Carmeli only constructed a 4 dimensional (4D) space-velocity model for the Universe.  He never found a full 5D model for the whole Universe, which might be used to construct a history close to the Creation epoch.  I theorised on a new model, call it the Hartnett-Carmeli model if you like, which is 5D.  I added the time dimension to Carmeli's space and velocity dimensions, to create a linearised 5 dimensional model, something like an extension of special relativity but in 5 dimensions.  That is shown in appendix 6.”  The post writes the model's name with a dash between the two words.  The footnote shows commas there. ↩

    2. 16b.

      “I do not claim it is the answer but if God did something like I describe it could provide us with an understanding of it.  It is a possible solution and I admit there are several potential areas where the solution may be found.” ↩

    3. 16c.

      “However I was always bothered by Carmeli's derivation of the 5D physics used there and even confronted him one time about it.  He made a simplifying assumption on a very-difficult-to-solve integral, which I do not believe is valid.  I even had a postgrad student work on the problem for a while but that same student picked up some other problems with Carmeli's formalism whilst studying his last book.” ↩

    4. 16d.

      “By 2013 I published my last paper using his 4D space-velocity cosmology.  During those years I found several inconsistencies with his ideas, particularly in that last book, and also I made no progress on finding a full 5D biblical creation model that could be rigorously used to describe the early creation epoch.  So what I wrote in my book 'Starlight Time and New Physics' remains only a sketch of what I hoped would crystallise.”  The book's actual title is Starlight, Time and the New Physics; the shortened form is Hartnett's. ↩

    5. 16e.

      “Important update June 23, 2021:  I have given up on this model.”  “I have now abandoned this model.  There are too many inconsistencies and besides we never found a full 5D (space, time and velocity) solution for the whole universe.  I have moved on, so should you.” ↩

  17. 17.

    Hartnett, John G.  “A creationist cosmology in a galactocentric universe.”  TJ (now Journal of Creation) 19(1):73–81.  2005.  A paper in the creationist journal TJ that argues the universe is finite and centred on our galaxy, then compares three models of it: Humphreys' white-hole model, Gentry's redshift model and Carmeli's cosmology.  It supports the finite universe from Psalm 147:4 and Genesis 22:17, and it says Carmeli's model predicted accelerating expansion two years before it was measured.  The article uses it for Hartnett's case for a finite, Earth-centred universe and for his claim that Carmeli predicted accelerating expansion. ↩

    1. 17a.

      Section Abstract, page 73:  “The observations that place the earth near the centre of the universe are consistent with God's focus on mankind.  The Bible implies that there are a finite number of stars, which suggests that the universe is finite.  A creationist cosmology requires a finite universe that is most likely spherically symmetric about our galaxy.” ↩

    2. 17b.

      Page 78:  “With this model, Carmeli was able to successfully predict an accelerating expanding universe, two years before it was measured from high-z supernova redshift observations in 1997–1998.” ↩

    3. 17c.

      Page 78:  “Equations (22a, b) describe a tri-phase expansion.  Firstly (22a) describes a decelerating expansion, when Ωm > 1 but decreasing in value.  When Ωm = 1, the expansion experiences a momentary coasting stage followed by an accelerating expansion.” ↩

  18. 18.

    Hartnett, John G.  “The Universe: Finite or Infinite, Bounded or Unbounded.”  Bible Science Forum.  Dec 21, 2013.  A blog post in which Hartnett summarizes his 2013 paper in the International Journal of Theoretical Physics on a finite, bounded Carmelian universe.  It says the new solution is identical to the unbounded one, and that the supernova data cannot tell finite bounded radii of at least c/H0 from unbounded models.  The article uses it for Hartnett's own statement that the bounded solution is identical to the unbounded one, and for his claim that only philosophy can reject it. ↩

    1. 18a.

      “In that paper I show a solution of Einstein's field equations in Carmeli's Cosmological General Relativity (CGR), where our galaxy is at or cosmologically near the center of a finite yet bounded spherically symmetrical isotropic universe.  The new solution though is identical with the unbounded solution.” ↩

    2. 18b.

      “Therefore the new solution I found describes an expanding 'white hole' with the observer at the origin of the coordinates, the unique center of the Universe, ie. our galaxy is somewhere near the centre, cosmologically speaking.  Only philosophically can this solution be rejected.” ↩

  19. 19.

    Conner, Samuel R., and Don N. Page.  “Starlight and Time is the Big Bang.”  CEN Technical Journal 12(2):174–194.  1998.  A journal paper by two authors.  Don Page is a general relativist who worked with Stephen Hawking in Cambridge.  The paper concludes that clocks on Earth and on distant galaxies behave the same way in a bounded universe as in an unbounded one with the same matter inside.  The article uses it as a critique of Russell Humphreys' white-hole cosmology from outside that model, which also needs a bounded universe with Earth near the centre. ↩

    1. 19a.

      Page 174:  “In fact, physical clocks located on Earth and on distant galaxies behave identically in bounded and unbounded Universes which have identical interior matter distributions.”  Page 175:  “The imposition of a spherical boundary to the matter of the Universe has no effect on the gravitational and clock time-keeping properties in the interior of such a boundary.” ↩

  20. 20.

    Gibbs, W. Wayt.  “Profile: George F. R. Ellis — Thinking Globally, Acting Universally.”  Scientific American 273(4):50–55.  Oct 1995.  A magazine profile of the cosmologist George Ellis.  The article uses it because Hartnett cites it for a line by Ellis about a spherically symmetrical universe with Earth at its center. ↩

    1. 20a.

      Hartnett's wording of the line, which he reproduces in identical form in TJ 19(1):73 (2005), in arXiv:astro-ph/0508367 section 1, and on his blog in 2013 and 2024.  His citation of the profile is inconsistent: both 2005 papers give the pages as 273(4):28–29, which is wrong, while his 2013 and 2024 blog posts give 273(4):50–55, which matches the publisher's record. ↩

  21. 21.

    Ellis, George F. R.  “Issues in the Philosophy of Cosmology.”  Handbook of the Philosophy of Physics.  Elsevier.  Edited by J. Butterfield and J. Earman.  Feb 13, 2006.  A survey of cosmological theory and of the philosophical assumptions it rests on, written for a philosophy of physics handbook and set out as numbered theses.  The article uses it because Ellis says in his own peer-reviewed survey what Hartnett quotes: a model with our Galaxy at or near the centre is possible but philosophically unpopular, and homogeneity rests on a philosophical assumption. ↩

    1. 21a.

      Section 4.2.2 Indirect determination: justifying a Friedmann-Lemaître geometry:  “We can easily construct exact spherically symmetric universe models, as indicated by these observations.  In general they will be spatially inhomogeneous, with our Galaxy located at or near the centre;  this is currently a philosophically unpopular proposal, but is certainly possible.”  Section 2.3.5:  On dark energy specifically:  “alternative explanations of the observations are possible, for they can be exactly reproduced by a spherically symmetric inhomogeneous universe model where we are near the centre.” ↩

    2. 21b.

      Section 4.2.2:  Ellis's numbered thesis, quoted in full:  “Thesis B3:  Establishing a Robertson-Walker geometry for the universe relies on plausible philosophical assumptions.  The deduction of spatial homogeneity follows not directly from astronomical data, but because we add to the observations a philosophical principle that is plausible but untestable.” ↩

    3. 21c.

      Section 4.2.2, immediately after Thesis B3:  “The purpose of the above analysis is not to seriously support the view that the universe is spherically symmetric and inhomogeneous, as is allowed by the observations, but rather to show clearly the nature of the best observationally-based argument by which we can (quite reasonably) justify the assumption of spatial homogeneity.” ↩ ↩

    4. 21d.

      Section 4.2.2:  “EGS Theorem:  Exact isotropy of the CBR for every geodesically moving fundamental observer at each point in an expanding universe domain U implies an exact RW geometry in U.”  And:  “Thus we may establish spatial homogeneity by assuming a weak Copernican principle:  we are not in a privileged position where the CBR just happens to be highly isotropic by chance;  hence all comoving observers may be assumed to measure highly isotropic CBR, and the result follows.  This is currently the most persuasive observationally-based argument we have for spatial homogeneity.” ↩

  22. 22.

    Hartnett, John G.  “What Do We Really Know About the Cosmos?”  Bible Science Forum.  Dec 6, 2024.  A web post by Hartnett, dated 6 December 2024.  In it he says he gave up Carmeli's cosmology and argues that cosmology is underdetermined, meaning many models fit the same observations.  The article uses it for both points. ↩ ↩

    1. 22a.

      “By the way I gave up on Carmeli's cosmology some years ago for a few reasons.  I came to the view that the universe is not expanding but Carmeli's cosmology describes only an expanding universe.” ↩ ↩

    2. 22b.

      “The new 2013 theoretical paper also demonstrated that the universe is underdetermined.  That is Cosmology's Fatal Weakness—Underdetermination.  There are many theories or models that could potentially describe the same observational data.  Therefore there is no way to distinguish with the 'stamp collection' which theory is correct.” ↩

  23. 23.

    Macdonald, Alan.  “Comment on 'The Cosmic Time in Terms of the Redshift,' by Carmeli et al.”  Foundations of Physics Letters 19(6):631–632.  Nov 2006.  A short comment by a mathematician at Luther College, Decorah, Iowa, on one formula in "The Cosmic Time in Terms of the Redshift" by Carmeli, Hartnett and Oliveira (Foundations of Physics Letters 19(3) (2006): 277–283, DOI 10.1007/s10702-006-0518-3).  It finds that the formula does not give the present age of the universe at redshift zero, and that it differs from the standard flat ΛCDM model by more than 500 million years for redshifts 1 to 4.5.  The article uses it because it is the only published technical criticism of a Carmeli cosmology paper that this project has found.  Mirror:  arXiv ↩ ↩

    1. 23a.

      Page 1 of the arXiv preprint.  The inner quotations are Macdonald quoting Carmeli, Hartnett and Oliveira.  “Then they modify Eq. (1) to include gravity.  They 'adopt the method used in classical general relativity theory' and replace t₀ by H₀⁻¹ … because it 'seems to be the proper thing to do'.” ↩

    2. 23b.

      “Carmeli et al. write that Eq. (2) is 'valid for all redshift values' and 'It is hoped that the formula will be useful for identifying objects at the early Universe.'  They nowhere restrict their equation to specific general relativistic cosmological models.” ↩

    3. 23c.

      “We can see immediately that Eq. (2) is not an exact time-redshift relation.  For it does not give t(0) = t₀, which is obviously true for every cosmological model.  (Eq. (1) does pass this test.)” ↩

    4. 23d.

      Section Abstract:  “The time-redshift relation of Carmeli et al. differs from that of the standard flat ΛCDM model by more than 500 million years for 1 ≤ z ≤ 4.5.”  In the body:  “Substituting these values shows that the difference between Eqs. (2) and (4) is over half a billion years for 1 ≤ z ≤ 4.5.” ↩

  24. 24.

    Öztaş, Ahmet M., and Michael L. Smith.  “The Cosmological Constant Constrained with Union2.1 Supernovae Type Ia Data. Derivation and evaluation of several FRW and Carmeli models presenting underwhelming support for the standard model.”  arXiv.  Jan 5, 2014.  A preprint, version 2 dated 26 November 2014, in which two authors derive several cosmological models and test them against the 580 supernovae of the Union2.1 compilation, including Carmeli's.  Öztaş is at Hacettepe University, Ankara, and Smith at 4S Fuel Research, Mesa, Arizona; neither is a creationist, and the paper is critical of ΛCDM, not of Carmeli.  The article uses it as an independent test of Carmeli's distance relation, since neither author has a stake in creationism. ↩ ↩

    1. 24a.

      Section Discussion:  “This problem is reflected by the inability of even 581 data pairs to allow discrimination between several models examined here, even though these models present drastically different physical realities.”  Their description of what they tested:  “We also evaluated the distance-velocity relationship proposed by Hartnett as derived from Carmeli General Relativity (CGR).  This is an interesting model in that neither spacetime nor dark energy need to be considered explicitly and it appears to model our current situation without the necessity of dark matter.” ↩ ↩

  25. 25.

    Faulkner, Danny R.  “Solving the Light Travel Time Problem.”  Answers in Depth.  Answers in Genesis.  Feb 23, 2021.  An Answers in Depth overview by Danny Faulkner of how creationists have answered the light travel time problem, the question of how light from distant galaxies can reach Earth in a young universe.  It also covers the dasha solution and reports that Humphreys has abandoned his model.  The article uses it because Faulkner describes Hartnett's work accurately and neutrally, and then warns that supporters of these models often do not understand them. ↩

    1. 25a.

      “Many supporters of the white hole cosmology don't know that Humphreys has since abandoned his model.  For several years, Humphreys has been pursuing a different approach, again relying upon general relativity.  Humphreys now believes an expansion early in the creation week produced what he calls a 'timeless zone,' which again allowed much time to elapse in part of the universe but not everywhere.  He is still refining this model.” ↩ ↩

    2. 25b.

      “However, many supporters of solutions of the light travel time problem based upon general relativity don't truly understand these solutions.”  His summary of Hartnett's work, in the preceding paragraph:  “John Hartnett studied the work of the theoretical physicist Moshe Carmeli.  Carmeli modified general relativity to include a fifth dimension, a space-velocity that incorporates the Hubble flow of galaxies.  Hartnett adapted Carmelian physics to a recent creation model to solve the light travel time problem.” ↩

  26. 26.

    Hartnett, John G.  “My Current Thinking on Distant Starlight.”  Bible Science Forum.  Apr 19, 2019.  A short web post in which Hartnett says he now prefers Jason Lisle's Anisotropic Synchrony Convention (ASC) model to his own Carmeli-Hartnett model.  The post does not explain what ASC is, and it recommends Lisle's book.  The article uses it to show that Hartnett had stopped having faith in his own approach and now backs Lisle's model. ↩

    1. 26a.

      “By August 2015, when I gave the lecture, I had come to the conclusion that Jason Lisle's Anisotropic Synchrony Convention (ASC) model was better than my own Carmeli-Hartnett model.”  “In the years leading up to 2015 I had discovered several serious inconsistencies with Carmeli's cosmology.  Besides those, there did not exist a viable 5D (space-time-velocity) version that could be used to give a robust description of the early universe on a biblical timeline.” ↩ ↩

    2. 26b.

      “On this website you'll find articles on my use of Carmeli's cosmology.  They will all remain, but note, that I no longer have much faith in such an approach.  So that brings me up to the present.  I now believe that Lisle's ASC model is the best solution by a long shot.” ↩

  27. 27.

    Hartnett, John G.  “Where I Now Stand.”  Bible Science Forum.  Mar 11, 2021.  A web post written to explain why Hartnett stopped writing for Creation Ministries International (CMI).  Most of it concerns an editorial dispute and a disagreement over the use of fetal cell lines in vaccines, and it carries claims about vaccines and medical journals that this project neither relies on nor endorses.  The article uses one passage from it, in which Hartnett says CMI still promotes his abandoned model and never mentions Lisle's. ↩

    1. 27a.

      “My own cosmological model, which I developed using Carmeli's cosmology, has too many problems and I have since abandoned it.  Even so it is still promoted as a viable model, even in their premier publication, see chapter 5 of the Creation Answers Book.  But Jason Lisle's model is not mentioned at all.”  In the same post, referring to Lisle's ASC model:  “In my view, it is the only viable answer to the creationist starlight travel-time problem,”. ↩

  28. 28.

    Sarfati, Jonathan.  Arguments we think creationists should NOT use.  Creation Ministries International.  Feb 7, 2006.  A web list, by Jonathan Sarfati, of arguments that Creation Ministries International says creationists should stop using, each with a short reason, first published 7 February 2006 and updated since.  The relevant items appear under the heading "What arguments are doubtful, hence inadvisable to use?"  The article uses it because the page still calls the Humphreys and Hartnett cosmologies viable answers to the distant starlight problem. ↩

    1. 28a.

      “CMI currently believes that both Dr Russell Humphreys' and Dr John Hartnett's cosmologies (both involving relativistic time dilation) provide viable solutions for the distant starlight problem.  It's a healthy situation to have multiple working hypotheses at the moment because there are so many unknowns in astronomy and cosmology.  However, neither we, Dr Humphreys nor Dr Hartnett claim that either of these models are infallible.” ↩

  29. 29.

    Hartnett, John G.  “Does observational evidence indicate the universe is expanding?—part 2: the case against expansion.”  Journal of Creation 25(3):115–120.  Dec 2011.  The second part of a two-part review in which Hartnett tests galaxy sizes, galaxy brightness, the microwave background temperature and quasar absorption lines against an expanding universe.  He finds that a non-expanding universe in ordinary flat (Euclidean) space fits most of the data with the fewest assumptions, and calls the overall evidence equivocal.  The article uses it for his 2011 warning that one should not base one's theology on any particular cosmology. ↩ ↩

    1. 29a.

      Section abstract:  “The conclusion is reached that the observations can be used to describe either a static universe (where the Hubble Law results from some as-yet-unknown mechanism) or the expanding universe described by the standard big bang Λ cold dark matter model.  In the latter case, size evolution of galaxies is invoked necessarily to get the cosmology to conform to the observations.  The simple non-expanding Euclidean universe fits most data with the least number of assumptions.” ↩

    2. 29b.

      Section abstract:  “From this review it is apparent that there are still many unanswered questions in cosmology and it would be a mistake to base one's theology on any particular cosmology.” ↩ ↩

  30. 30.

    Hartnett, John G.  “Expansion of Space: A Dark Science.”  Answers Research Journal 7:453–459.  2014.  A research article in which Hartnett argues against the expansion of space.  Danny Faulkner argues the opposite case in the same journal; see the redshift article.  The article uses it to show that Hartnett's case against metric expansion was in print again in 2014, after the 2011 review. ↩ ↩

  31. 31.

    Hartnett, John G.  “Big bang beliefs: busted.”  Creation 37(3):48–51.  Jul 2015.  A magazine article first printed in Creation in July 2015, with a web edition at creation.com dated 14 April 2016 and updated 6 March 2017, arguing that the big bang model depends on dark matter, dark energy and inflation, none of which has been seen in a laboratory.  It quotes Richard Lieu, chair of astrophysics at the University of Alabama, who says the main assumptions of cosmology cannot be checked in a laboratory.  The article uses it for his 2015 question whether the universe's expansion is accelerating, asked ten years after he credited Carmeli with predicting acceleration. ↩

    1. 31a.

      “Supposedly, dark energy is a confirmed fact.  But does the evidence confirm that the universal expansion is accelerating?  They are right about the irony;  even though this energy is allegedly so abundant, it cannot be observed locally in the laboratory.” ↩

  32. 32.

    Hartnett, John G.  “Should Biblical Creationists Believe in Dark Matter and Dark Energy?”  Bible Science Forum.  Feb 25, 2025.  A web post, dated 25 February 2025, that asks whether biblical creationists should accept dark matter and dark energy.  The article uses it for Hartnett's remark that his own Carmeli fit to the same distant supernova data is now an example of underdetermination, not a model he holds. ↩

    1. 32a.

      “One such example of that is the work I did myself on the Carmeli cosmology that showed excellent fit to the same high-z SNe data without any DM.  And very importantly the Carmeli cosmology had no DE in it.”  High-z SNe means distant supernovae, DM means dark matter and DE means dark energy.  Two paragraphs later, Hartnett says about that model and a second one:  “Both of these cosmologies are expanding universe cosmologies.  And there are others.  This alone illustrates the underdetermined nature of cosmology.” ↩

  33. 33.

    Hartnett, John G.  “Do Million-Light-Year-Long Galactic Jets Disprove the Bible on the Age of the Universe?”  Bible Science Forum.  Jun 25, 2026.  A web post, dated 25 June 2026, that argues the ASC model, as initially promoted by Jason Lisle, is the best solution to the age question its title raises about galactic jets.  The article uses it for Hartnett's statement that the model assumes a mature creation, in which galaxies were made looking as they do now. ↩

    1. 33a.

      “My current thinking is that the ASC model, as initially promoted by Dr. Jason Lisle, is the best solution.  Under the assumption of the Anisotropic Synchrony Convention (ASC) we observe the whole universe in real time because that convention assumes the incoming speed of light is infinite towards the observer.  Hence there is no travel time and no problem.” ↩

    2. 33b.

      “The ASC model necessarily assumes what we would call mature creation.  That is the galaxies in the universe were created essentially the same condition as we currently see them now.  Because under the ASC model we see the universe in real time, which means that since creation less than 10,000 years has past.  You might say that the universe has aged less than 10,000 years.” ↩

  34. 34.

    Repp, Andrew.  “Fifty-Seven Years of Creation Astronomy, Part II.”  Creation Research Society Quarterly 59:81–91.  2022.  Part two of Andrew Repp's survey of creation astronomy.  The article uses it for his point that the fine temperature pattern in the microwave background has had little if any explanation within a creation framework. ↩

    1. 34a.

      Page 86:  “The situation worsens when we consider the power spectrum of the CMB—that is, the patterns exhibited by its minute temperature variations (anisotropies). … The yet more detailed CMB mapping by Planck (Planck Collaboration et al., 2014) seems to have laid to rest the idea that these anisotropies are artificial.  However, there has been little if any attempt to explain them within a creation framework.” ↩ ↩

  35. 35.

    Famaey, Benoît, and Stacy S. McGaugh.  “Modified Newtonian Dynamics (MOND): Observational Phenomenology and Relativistic Extensions.”  Living Reviews in Relativity 15:10.  2012.  A review article on Modified Newtonian Dynamics (MOND), a theory that changes Newton's law of gravity at very low accelerations to fit galaxy rotation curves.  The article uses it for the value of MOND's acceleration constant, a₀, which it compares with the value Carmeli's theory predicts. ↩

    1. 35a.

      Section 6.5:  “It turns out that using the simple interpolating function (α = n = 1, see Eqs. 46 and 49) yields a value of a₀ = 1.2 × 10⁻¹⁰ ms⁻², and excellent fits to galaxy rotation curves.”  The same value is used throughout the review, for example in the rotation-curve fits of NGC 6946 and NGC 1560:  “here a₀ is held fixed (1.2 × 10⁻¹⁰ m s⁻²).” ↩

  36. 36.

    Aardsma, Gerald E.  “Has the Speed of Light Decayed?”  ICR Impact (179).  Institute for Creation Research.  May 1, 1988.  A short ICR Impact article in which Aardsma, then chairman of the astro/geophysics department at the Institute for Creation Research, reanalyzes the 163 speed-of-light measurements that Norman and Setterfield used to argue that the speed of light has decayed.  He used a weighted fit, which counts the more precise measurements more heavily, and found no discernible decay trend (the technical version is in Creation Research Society Quarterly 25, no. 1 (1988): 36–40).  The article uses it as the refutation of Barry Setterfield's decaying speed of light from inside the creation movement. ↩

    1. 36a.

      “When I analyzed the entire data set of 163 points using the standard, weighted, linear least squares method, the decay of c was determined to be:  decay of c = 0.0000140 ± 0.0000596 km/s/year.  This result says pretty plainly that there is no discernible decay trend in the data set presented by Norman and Setterfield.”  The reason the weighting matters, from the same article:  “error bars range from ± 20,000 km/s to ± 0.0003 km/s.” ↩

  37. 37.

    Lisle, Jason.  “Distant Starlight in a Young Universe: Attempted Solutions.”  Biblical Science Institute.  Oct 9, 2020.  A web article on attempted solutions to the distant starlight problem, the question of how light from distant stars reaches Earth in a young universe.  The page was modified 8 March 2021.  The article uses it for Lisle's report, from a conversation with Humphreys, that Humphreys has abandoned his model.

    1. 37a.

      “Even Humphreys has abandoned this model, along with a subsequent model.  The last time I chatted with him, Dr. Humphreys was working on a third cosmological model.  Although the original model did not pan out, it was a brilliant attempt and helped to advance study on this topic by including the effects of the physics of Einstein.” ↩