The Hydroplate Theory and the Heat Problem

Brown's proton-collapse mechanism cannot make the required isotopes and releases more heat than decay. Hydroplate theory does not solve the heat problem.

Draft:  August 2026

"While I agree that the earth is young, miracles should not be imagined to solve scientific problems.  That would violate the most basic rule of science." — Walt Brown, In the Beginning, 8th edition, p. 4001

"If 7.72 × 10³⁷ ergs of thermal energy were evenly distributed throughout the earth at one time, the earth would melt!" — Walt Brown, same book, endnote 891

"God supernaturally protected Noah and his entourage by rapidly removing the large amount of heat that was produced by some unknown mechanism." — the RATE group, listing what Noah's survival allows them to infer2

Summary

Radioactive decay makes heat.  That is not a theory; it is why a lump of uranium is warm to the touch and why the inside of the earth is hot.

A young earth has a problem with this.  The rocks contain about four and a half billion years' worth of decay products — lead where uranium used to be, argon where potassium used to be, helium trapped in crystals.  If all of that decay really happened, but happened in a few thousand years instead of billions, then all of the heat came out in a few thousand years too.  There is a great deal of it.  Enough to melt the crust many times over, and enough to boil every ocean hundreds of times.  Young-earth researchers do not dispute this.  They calculated it themselves and published the number.

Most young-earth answers to this problem end in a miracle.  God put the heat somewhere.  Walt Brown refused to do that, and said plainly that inventing a miracle to solve a physics problem "would violate the most basic rule of science."  His hydroplate theory was built to supply a natural mechanism instead.

He was right to refuse the miracle.  His replacement does not work, and it fails in a way that is worth understanding.

Here is the short version, in order of how much each point costs the argument.

  1. The earth's rocks carry no record of the neutron flood Brown's own arithmetic requires. This is the cleanest test in the whole subject, it uses Brown's own numbers, and it does not depend on any energy estimate. Brown calculates his headline energy figure by assuming that every deuterium atom in the ocean was made when a hydrogen atom caught a neutron during the Flood. Fix the fluence that requires — divide the deuterium fraction by hydrogen's capture cross section — and you get 4.7 × 10²⁰ neutrons per square centimetre. That is not an abstract number. It is the fluence measured inside the natural nuclear reactor cores at Oklo, Gabon, and we know exactly what it does to rock, because it happened there. It burns samarium-149 and gadolinium-157 away almost completely; those two isotopes are so greedy for neutrons that they are the standard dosimeter used to measure neutron exposure in lunar samples, sensitive to fluences fifty thousand times smaller than Brown's. At Oklo the samarium signature is unmistakable. Brown needs that same signature in every rock on earth, and it is present in none of them. Ordinary terrestrial samarium and gadolinium are isotopically normal everywhere outside those few cubic metres of Gabonese ore.
  2. The energy has to come from somewhere, and Brown's source is empty. His chain starts with a flexing crust squeezing quartz crystals to make electricity. Computed with real quartz constants, Brown's own crustal geometry, and every judgement call made in his favour, that mechanism delivers at most about 10²⁶ J against the 7.72 × 10³⁰ J he claims — four to five orders short. A tighter bound comes from Brown himself: add up every pre-Flood energy store he specifies anywhere in the book — the crust's gravitational potential energy, the compression of the chamber, the heat in the chamber water — and the total is 4.9 × 10²⁷ J, about 1,600 times less than the energy he says the episode released. Two young-earth researchers reached the same verdict independently. John Baumgardner, imposing the one limit Brown never imposes — a fluttering crust cannot flex further than the thickness of the water layer under it — got 0.10 joules per kilogram, or 1.35 × 10²² J.3 (His derivation has its own problems, which this article documents rather than leans on; the bound that survives them is the strength limit, and Brown misses that by six orders of magnitude.) Robert Carter and Edward Isaacs computed the entire gravitational potential energy of Brown's pre-Flood earth at 2.38 × 10²⁷ J.4 Brown never closed this gap in print.
  3. His headline energy figure counts the wrong column, and the man who noticed was a young-earth geophysicist. Brown arrives at 7.72 × 10³⁰ J by counting neutrons, using the ocean's deuterium as the tally. But in any fission event about 80 % of the energy is the kinetic energy of the two charged fragments, which stop within microns and become heat where they are born; the prompt neutrons carry a few percent. John Baumgardner put the fission-fragment waste heat at 7.9 × 10³¹ J — "enough to vaporize the entire granite crust hundreds of times over" — and noted that the fusion step must release at least ten times more again.3 Brown's number was never a total. It is a lower bound on one channel.
  4. "Cold repacking," his central heat sink, runs backwards. Brown's idea is that building heavy elements absorbs heat, because fusing nuclei past iron is endothermic. That much is correct nuclear physics. Worked out with measured binding energies, making one uranium-238 nucleus out of average crustal material absorbs 156 MeV, while the whole decay chain back down to lead-206 returns only 47 MeV. Synthesis really does swallow more than decay gives back — Brown's instinct was sound. But that is the problem, not the solution. Manufacturing the earth's uranium and thorium out of ordinary crustal nuclei costs about 1.3 × 10³² J delivered into the crust, and all their subsequent decay pays back only 27 % of it. Point 2 says that energy does not exist. Cold repacking does not dispose of the heat; it converts a heat-disposal problem into an energy-supply problem several orders of magnitude worse.
  5. The laboratory Brown cites claims the opposite of what he needs. Everything in point 4 rests on the Proton-21 Electrodynamics Laboratory in Kiev. Brown tells readers that anyone who disputes him "should first read Controlled Nucleosynthesis." That book is an edited volume, not refereed primary literature, and it has eleven citations in nineteen years, nearly all from the authors themselves. Nobody has replicated the work and nobody has published a failed replication either. More importantly, the laboratory's own headline claim is that its products are stable and that radioactivity is destroyed — and in Adamenko's own paper the phrase "cold repacking" appears inside a sentence claiming a net energy release. Brown's reading is his own inference, not the laboratory's finding.
  6. His acceleration mechanism would deposit a million times more heat than it releases. Brown's proposed trigger is bremsstrahlung radiation driving nuclei through the Giant Dipole Resonance. The resonance is real and he quotes its energy scale correctly. But photonuclear cross sections are millibarns, uranium is 2.7 parts per million of the crust, and ordinary Compton scattering and pair production happen on every atom present at barn-scale cross sections. Only about two parts in ten million of that photon field ever reaches a uranium nucleus. Netting out the fission energy returned, the photon field needed to destroy half the crust's uranium-238 deposits around 7 × 10³⁶ J in the rock — a million times the 7.72 × 10³⁰ J Brown is trying to explain away. Brown built this mechanism to avoid needing a miracle to remove heat. It needs a bigger miracle than the one it replaced.
  7. It also produces the wrong daughters. Photo-fission splits uranium into fragments near mass 95 and 140 — zirconium, molybdenum, xenon, barium — plus a couple of neutrons. It does not make lead-206 and it barely makes helium: about 0.0018 helium atoms per event, against the 8 that a full uranium-238 alpha chain yields. But lead, helium and radiohalos are exactly the alpha-chain products the young-earth argument needs to explain. The Giant Dipole Resonance does not touch alpha decay at all.
  8. Only one of Brown's four disposal routes removes energy from the earth at all, and his own book says it needs nearly three times more energy than he has. He offers endothermic repacking, conversion to the kinetic energy of the fountains, flow surface boiling into supercritical water, and a fourth route in which hot water ionizes so that "most of the energy becomes electrical, not thermal." Boiling moves heat; it does not destroy it. Ionization stores it. Only physically throwing matter off the planet exports it — and on Brown's own Table 44 (p. 600) launching the comets, asteroids and trans-Neptunian objects requires 2.2 × 10³¹ J, which is 2.8 times more than the 7.72 × 10³⁰ J he says was released. His budget is upside down before any of it is spent on heat.

And this does not even depend on his "perhaps twice" margin.  The bare table, summed straight from his own masses and velocities, is 1.15 × 10³¹ J — already larger than the 7.72 × 10³⁰ J he says the whole event released.  Brown's claimed heat sink is bigger than his claimed heat source.  There is no surplus energy needing disposal; there is a deficit he never fills. 9. His one quantitative prediction about comets has been measured, and missed.  Brown's model says the comets are ejected ocean water, so it predicts a single deuterium-to-hydrogen ratio for all of them: exactly twice the ocean's value, with no spread.  Measured comets run from 1.03 to 3.40 times the ocean value.5  A model that manufactures comets from one reservoir in one event should not produce a threefold scatter.

Where Brown is right, and it matters

His diagnosis is the best thing in the entire debate.  He identified, correctly, that his own side had a physics problem and was solving it by decree.  He said so in print, in a book aimed at his own readers.  Nothing in this article disturbs that judgment.

His energy figure is honest and it checks.  Brown derived 7.72 × 10³⁰ J by treating all of the earth's deuterium as the fossil of a Flood-era neutron flux.  Redo his arithmetic and it comes out exactly as he states it.  More striking, William Worraker — a young-earth researcher defending no model at all — computed the total radiogenic heat available over 4.5 billion years by a completely different route and got 7.6 × 10³⁰ J, within 2 % of Brown's number.6  Brown was not lowballing or inflating.  He and his critics are arguing about the disposal of the same energy.

He states the size of his own problem out loud.  It is Brown himself, in his own endnote, who writes that this much energy "evenly distributed throughout the earth at one time" would melt it.  Very few popularizers of any position do that.

He cites Fritz Bosch accurately.  Bosch's measurement of fully ionized rhenium-187 is real, and the half-life really does collapse from 42 billion years to 33 years — a factor of about a billion, exactly as Brown reports it.

And on radiation, Brown is in genuinely better shape than RATE.  This deserves to be said plainly, because it is the one place where his model outperforms its rivals and nobody seems to have noticed.  RATE's worst unforced problem is that accelerating the decay of the potassium-40 already inside Noah's own body delivers a dose on the order of 85,000 sieverts — some twenty thousand times a lethal one.  In Brown's model that problem does not arise, because on his account the potassium-40 did not exist yet; it was manufactured during the Flood.  His neutrons are also 96 km of crust away from the Ark, and free neutrons have a ten-minute half-life and are stopped by about 10 cm of water.  The prompt dose at the Ark is zero.  Brown's model fails on energy, not on radiation.

Where his own side has already answered him

The most important thing to understand about this dispute is that it is not creationists against skeptics.  No physicist outside creationism has ever engaged Brown's radioactivity chapter technically.  Every competent critique of it was written by a young-earth creationist.

Michael Oard's assessment, commissioned by Creation Ministries International after Brown repeatedly declined to submit the model for peer review, is that Brown's mechanism "seems orders of magnitude insufficient to cause radioactive elements."7  Baumgardner supplied the number behind that adjective.  Faulkner supplied the astronomical one.  Carter and Isaacs supplied the gravitational one.  Brown participated in three of five rounds of the Flood Science Review — the only formal moderated review any Flood model has been through — and then withdrew.

Two large bodies of video make the case for Brown to a general audience: Bryan Nickel's tutorial series, and the Standing For Truth channel's heat-problem material.  This article audits both, claim by claim, because a reader who has watched them deserves to know which parts survive.

The short answer for Standing For Truth is that of roughly seventy distinct claims, two are worth building on, and both are the channel conceding something against its own interest.  Its single hardest citation — that Sandia National Laboratories replicated the Ukrainian nucleosynthesis experiments — is refuted by the Sandia report itself, which is free to download and which tested an aluminium surrogate and concluded the signature was ordinary impurity ejection.  Its most-repeated argument, that Brown's energy spread through his crust over forty days is only 45 milliwatts per cubic centimetre and therefore "less than an LED light bulb," is arithmetically correct and physically empty: the same three numbers give a temperature rise of 63,500 K.  A light bulb sits in a room.

What this article does

It works the arithmetic in the open, using Brown's own published numbers wherever they exist, and shows the steps so that a hostile reader can redo them.  The scripts are published alongside it.

It takes the strongest version of Brown's case, which is his own book and endnotes, not the videos.

It grades every participant by one standard.  That means it also says where Brown's critics are wrong — and several of them are.

Every source is catalogued, with what it establishes and which way it cuts, in a companion page: the literature.  The quotations are gathered in the quotes file.

The heat problem, in plain terms

Every radioactive decay dumps energy into the rock around it.  An alpha particle flies off at a few percent of light speed, slams into neighbouring atoms within a few tens of microns, and stops.  All of that motion becomes heat.  This is not controversial.  It is the reason the earth's interior is hot, and geologists use it to explain the planet's heat flow.

Now count the decays.  A kilogram of average continental crust, given four and a half billion years, releases about 9.5 × 10⁷ joules.  That is roughly the energy of twenty kilograms of TNT per kilogram of rock.  Spread over billions of years it is imperceptible — about a third of a nanowatt per kilogram, which conducts away as fast as it appears.

Compress the same decays into one year and nothing about the total changes.  Only the rate changes.  And the rate is everything, because the rock now has to survive the arrival.

Young-earth researchers computed this themselves and published it.  The RATE project — Radioisotopes and the Age of the Earth, a joint effort of the Institute for Creation Research and the Creation Research Society — put the requirement at about 500 million years of decay inside the Flood year, and wrote this in their own summary volume:

The heat would have melted the crustal rocks many times over unless there was some mechanism for simultaneously removing it quickly.  How did the earth survive such a massive dose of heat without vaporizing the oceans and melting the rocks?  How did Noah and his family survive such an environment on the Ark?2

The most careful statement comes from William Worraker of the Biblical Creation Trust, whose four-part survey in Answers Research Journal is the only systematic, model-neutral treatment of Flood heat in the creationist literature.  Worraker is defending no particular fix, which is what makes him the best witness on his own side.  For granite he computes 1.99 × 10⁷ J/kg, which he says is

more than 13 times enough to completely melt the granite, and may even be enough to vaporize it8

and adds that halving the uranium, thorium and potassium content still leaves "a heat load only seven times enough to melt."  His summary of the whole field is blunt: accelerated nuclear decay, catastrophic plate tectonics and bombardment from space are "each overwhelmingly sufficient to melt the entire Earth's crust or to boil away the oceans."9

So the disagreement is not about whether the heat is there.  Everyone in this argument agrees on the size of the number to within a factor of a few.  The disagreement is entirely about where it went.

The answers on offer, and why Brown rejected them

Most young-earth answers put the heat somewhere by divine action.  RATE's summary volume says so directly, listing what can be inferred from the fact that Noah survived:

  • no accelerated decay occurred;
  • no large amount of heat was generated by the accelerated decay; and
  • God supernaturally protected Noah and his entourage by rapidly removing the large amount of heat that was produced by some unknown mechanism2

John Baumgardner had taken that position as early as 1986, calling divine intervention "a logical necessity."  Creation Ministries International states plainly that "there is no simple scientific answer to this issue.  Indeed, there may not be one."10

Walt Brown would not have it.  His response, on p. 400 of In the Beginning, is the passage this article is named for:

A few creationists, without carefully considering how earth's radioactivity began, say that radioactive decay rates must have miraculously accelerated at some unknown time in the past to produce all those decay products.  But that would have generated enough heat to boil all the oceans away, so they say that another miracle must have removed all that heat.  While I agree that the earth is young, miracles should not be imagined to solve scientific problems.  That would violate the most basic rule of science.1

That is a young-earth creationist telling other young-earth creationists that they are cheating.  He is right, and the striking thing is that they mostly do not deny it — they concede the description and defend the miracle anyway.

What Brown proposed instead

Brown's answer is more radical than it first appears.  He does not say the earth's radioactivity is old and decayed quickly.  He says the radioactivity did not exist before the Flood at all, and that the Flood manufactured it.

The chapter summary, in his words:

SUMMARY: As the flood began, stresses in the massive fluttering crust generated huge voltages via the piezoelectric effect.  For weeks, powerful electrical surges within earth's crust—much like bolts of lightning—produced equally powerful magnetic forces that squeezed (according to Faraday's Law) atomic nuclei together into highly unstable, superheavy elements.  Those superheavy elements quickly fissioned and decayed into subatomic particles and various isotopes, some of which were radioactive.1

The chain has six links.

  1. A water chamber under a thick crust. Before the Flood, Brown's earth had a sealed layer of supercritical water beneath a granite crust 60 miles thick. Centuries of tidal flexing "poled" the quartz crystals in that crust, aligning them so their piezoelectric voltages would add instead of cancelling.
  2. The crust flutters. When the chamber ruptured, escaping water made the crust flap "like wind passing a stationary flag," and each downstroke hammered the rock below.
  3. Piezoelectric gigavoltages. Squeezed quartz makes voltage. Brown's claim is that squeezing 27 % of a 60-mile-thick crust produces "frightening electrical discharges, not through air, but through rock."
  4. A Z-pinch fuses nuclei. Current flowing in a channel pinches itself magnetically. Brown argues this drove nuclei together hard enough to fuse them into superheavy elements.
  5. The superheavies fission into uranium, thorium, polonium, radium and lead, with a heavy flux of neutrons that then set the isotope ratios of every element on earth.
  6. Accelerated decay at the end. Months later, during a "compression event" that Brown says "lasted less than 1 hour," a second and stronger surge of piezoelectricity produced bremsstrahlung radiation that shook nuclei apart, ageing the rocks by billions of years in an afternoon.

Everything else in this article is an examination of that chain.

Brown's own number for the energy involved

To his credit, Brown does not leave the magnitude vague.  He computes it, in endnote 89, by a genuinely clever route: he treats all of the earth's deuterium as the fossil record of the neutron flux.  Deuterium is heavy hydrogen — one proton, one neutron.  If every deuterium atom in the ocean was made when an ordinary hydrogen atom captured a neutron during the Flood, then counting deuterium counts neutron captures, and each capture released about 3.2 MeV.

ocean:  1.43e24 g of water,  1 mole = 18 g,  2 H per molecule
D/H  =  1/6400
energy per capture = 1 MeV (thermalizing) + 2.225 MeV (binding) = 3.225 MeV

(1.43e24 / 18) x 6.022e23 x 2 / 6400 x 3.225 MeV = 7.72e37 erg = 7.72e30 J

The arithmetic checks exactly, and so does his conversion of it into "1,800 trillion 1-megaton hydrogen bombs."

Two things about this number deserve emphasis before anything critical is said.

Brown states its consequence himself.  In the same endnote:

If 7.72 × 10³⁷ ergs of thermal energy were evenly distributed throughout the earth at one time, the earth would melt!  Earth's mass is 5.976 × 10²⁷ grams.1

And the number is essentially right.  Worraker, working from measured crustal abundances rather than from deuterium, computes the total radiogenic heat available over 4.5 billion years at 7.6 × 10³⁰ J.  Brown's figure is within 2 % of it by a completely unrelated route.  Whatever else is wrong here, Brown is not arguing with a strawman version of the problem.  He is arguing about the disposal of the same energy everyone else is arguing about.

A note on which number this article uses, and on three figures that get confused.  Brown's 9th edition, recovered as a PDF, still prints 7.72 × 10³⁷ erg and "1,800 trillion" hydrogen bombs — the energy figure did not change between editions, and neither did the mechanism or the heat answer.  Two other numbers circulate and are different quantities.  Brown's Technical Notes give 2.2 × 10³⁸ erg as the energy required to launch the comets, which is a demand, not a supply.  And Bryan Nickel's spreadsheet gives 1.01 × 10³⁸ erg, which is Nickel's own recomputation of Brown's formula using 2 MeV of thermalizing energy per neutron instead of Brown's "at least 1" — the rescaling reproduces exactly.  This article uses Brown's own published 7.72 × 10³⁰ J throughout, which is the smallest of the three.  That is the charitable choice: every problem below gets worse as the number grows.

One detail is worth noting for what it reveals about the method.  Brown's melting calculation assumes a temperature rise of 1,784 K — an oddly precise figure, given to four significant digits, which makes his two independent results agree to three digits.  Solve for the temperature rise that would force them to agree and the answer is 1,783.7 K.  The number was worked backwards.  This does not change the physics, but it tells you how the chapter was assembled.

Brown's endnote 82 contradicts his endnote 89

There is a deeper problem with the deuterium calculation, and it does not require any outside source to see it.  It requires only two of Brown's own endnotes.

Endnote 89 counts the energy released when neutrons are captured: 3.225 MeV apiece.  But where did the neutrons come from?  In Brown's model they are knocked out of ordinary nuclei by his bremsstrahlung radiation.  And in endnote 82 Brown himself quotes the energies required to do that — photoneutron thresholds of 10 to 19 MeV for light nuclei.  His crust is made of light nuclei.

So the ledger has a debit column he never opens.  Every neutron costs at least 10 MeV to liberate and returns 3.225 MeV when captured.  Run that over the whole inventory and the deuterium episode is not an energy source at all.  It is a net sink of about 1.6 × 10³¹ J — more energy consumed than the entire event is supposed to have produced.

Brown's headline number is the credit side of a two-sided ledger, presented as a balance.

The four things Brown does with the heat

Read the chapter carefully and Brown offers four distinct answers, not one.  Keeping them separate matters, because they fail differently.

  1. Endothermic synthesis — "cold repacking." Building elements heavier than iron absorbs energy, so the heat went into making uranium.
  2. Kinetic energy. "Nuclear energy primarily became electrical energy and then kinetic energy," accelerating the fountains to at least 32 miles per second and launching the material that became comets and asteroids.
  3. Flow surface boiling. Brown's own doctoral specialty at MIT was boiling heat transfer, and he describes it well: bubbles, jetting, thermocapillary flow, burnout. Supercritical water in the crust carried heat away from the rock.
  4. Ionization. "The hotter SCW becomes, the more the water molecules break into ions (H⁺ and OH⁻) so most of the energy becomes electrical, not thermal."

Only one of these four removes energy from the earth.  This is the single most important distinction in the subject, and it is the one the popular defences consistently miss.  Boiling is transport: it moves energy from the rock into the water, and the water still has it.  Ionization is storage: it moves energy from heat into chemical potential, and recombination gives it straight back.  Endothermic synthesis is conversion, and as shown below it requires more energy than it consumes.  Only physically throwing matter off the planet — route 2 — actually exports energy, and only radiation to space does so without losing mass.

A useful test to apply to any claim in this field: does the proposed mechanism destroy energy, export it from the earth, or merely move it?  Almost every answer in the popular literature is the third kind.

Problem one: the neutron flood left no fingerprint

Start here, because this test is clean, it uses Brown's own numbers, and it does not depend on any estimate of how much energy was available.

Brown's model requires an enormous flux of neutrons through the earth's crust and oceans.  He is explicit about why: the neutrons are what set the isotope ratios.

This production was accompanied by a heavy flux of neutrons, so nuclei absorbed enough neutrons to make them nearly stable.  This is why the ratios of the various isotopes of a particular element are generally fixed.  These fixed ratios are seen throughout the earth, because the flood and flux of neutrons was global.1

How many neutrons?  Brown answers this himself, without meaning to.  His energy calculation assumes every deuterium atom in the ocean was made by a hydrogen atom capturing a neutron.  Hydrogen's thermal capture cross section is 0.3326 barns, and the deuterium fraction is 1 in 6,400.  Divide one by the other and the required exposure follows:

fluence = (1/6400) / 0.3326 barns = 4.7e20 neutrons/cm2

That is not an abstract quantity.  It is almost exactly the neutron exposure measured inside the natural nuclear reactors at Oklo, in Gabon — 1.3 to 8.0 × 10²⁰ neutrons per square centimetre.  Oklo is a place where uranium ore went critical and ran as a reactor for a few hundred thousand years, and it is the one place on earth where rock has genuinely seen this kind of flux.  So we do not have to speculate about what Brown's neutron flood would do.  We can look.

It burns out the neutron-hungry isotopes.  A few isotopes have colossal appetites for thermal neutrons — gadolinium-157 at 253,000 barns, gadolinium-155 at 60,900, samarium-149 at 40,100.  Those numbers are thousands of times larger than anything else in the rock.  Run Brown's fluence past them:

isotope cross section (barns) fraction surviving
gadolinium-157 253,000 2 × 10⁻⁵²
gadolinium-155 60,900 4 × 10⁻¹³
samarium-149 40,100 7 × 10⁻⁹

Gadolinium-157 and gadolinium-155 would be annihilated.  Samarium-149 would survive at the level of one part in a hundred million.

At Oklo, that is exactly what happened.  In Oklo reactor zone 13 the samarium-149 to samarium-147 ratio is 0.004849, against a normal value of 0.922 — a factor of 190 destroyed.  Gadolinium-155 and gadolinium-157 are at or below the detection limit.  The signature is unmistakable and it has been measured repeatedly since the 1970s.

And this is not an exotic technique.  The samarium and gadolinium shifts are the standard neutron dosimeter for lunar and meteoritic samples, introduced by Russ, Burnett and Wasserburg in 1972 and used ever since.  The method detects fluences above about 10¹⁶ neutrons per square centimetre.  Brown's requirement is fifty thousand times above that threshold.

So here is the test, and it is as close to decisive as this subject gets.  Brown's model requires every rock on earth to carry the isotopic scars of an Oklo-strength neutron bath.  Those scars exist in a few cubic metres of ore in Gabon and nowhere else.  Terrestrial samarium and gadolinium are isotopically ordinary everywhere they have been measured, to better than one part in ten thousand.

There is no escape by adjusting the neutron energy, either.  Brown needs thermal neutrons, because slow neutrons are what hydrogen captures to make deuterium.  Thermal neutrons are precisely what destroys samarium-149 and gadolinium-157.  The two requirements are the same requirement.

Problem two: the engine shuts itself off after burning 1 % of its fuel

Now the energy source, which is where Brown's model has its deepest trouble.

His chain begins with mechanical energy — a crust flexing — and converts it to electricity through the piezoelectric effect in quartz.  Everything downstream is paid for out of that account.  So the question is simply: how much is in the account?

Computed as generously as the physics allows, about 10²⁶ joules.  Take Brown's own crustal geometry, real quartz coefficients, assume the crust is stressed all the way to failure on every one of nearly two thousand flutter cycles, and assume perfect conversion at the theoretical electromechanical coupling limit.  The answer is four to five orders of magnitude below the 7.72 × 10³⁰ J Brown claims.

A tighter bound comes from Brown himself.  Add up every pre-Flood energy store he specifies anywhere in the book — the gravitational potential energy of his crust, the compression energy stored in the water chamber, the heat in the chamber water.  The total is 4.9 × 10²⁷ J.  That is the entire budget of his own pre-Flood earth, and it is 1,600 times smaller than the energy he says the event released.  An event cannot spend more than the world contained.

Two young-earth researchers reached the same conclusion independently, and one of them is more severe than anything above.  John Baumgardner, reviewing the model formally, noticed that Brown never places any limit on how far the crust can flex — and there is an obvious one, because the crust cannot sink further than the thickness of the water layer holding it up:

Brown neglects to place any limit whatever on the amplitude of the oscillation.  But there is an obvious limit, namely, the starting thickness of the water layer, that is, 0.75 miles or 1612 m. … the peak level of stored elastic energy in this flexing layer, corresponding to this maximum flexing amplitude and a wavelength of oscillation of 1000 km is only about 0.10 J/kg!  Furthermore, the peak elastic stress generated by the flexing plate for this wavelength of oscillation is only 5.1 × 10⁶ Pa or 51 bars.3

Fifty-one bars, against the two thousand bars of failure stress used in the charitable calculation above.

One caution, in Brown's favour, which nobody has published.  Baumgardner's derivation is not airtight.  He uses the plate's local deflection where the bending formula wants the distance from the neutral surface, which makes his answer roughly twenty-five times too small, and his result scales as the fourth power of a wavelength he simply asserts to be 1,000 km.  So 0.10 J/kg should be read as his worked example rather than as a hard bound.  It does not rescue Brown.  The bound that does not depend on any of that is the strength limit — rock cannot store more elastic energy than its own failure stress allows, which is about 150 J/kg — and Brown is still short by six orders of magnitude against it.  This article leads with the strength limit for that reason.

Robert Carter and Edward Isaacs closed the same gap from the other direction, computing the total gravitational potential energy of Brown's entire pre-Flood earth at 2.38 × 10²⁷ J.4

The self-extinguishing engine

There is a further problem, and it is elegant, because Brown supplies the number that kills it.

Quartz is only piezoelectric below 573 °C.  Above that temperature it changes crystal structure — the α to β inversion — and the effect vanishes.  Brown states this twice, once in a figure caption and once, remarkably, in the same paragraph as his answer to the heat problem: "Also remember, quartz piezoelectricity shuts off at about 1,063 °F (573 °C)."1

So ask how much energy it takes to heat his crust to that point:

crust mass 1.40e23 kg, specific heat 900 J/(kg K), dT = 546 K
E = 6.9e28 J  =  0.89 % of Brown's own 7.72e30 J

Less than one per cent of the energy Brown says his mechanism released is enough to switch the mechanism off.  Allowing for the fact that the inversion temperature rises under pressure, and using the depth-averaged value through a 96 km crust, it becomes 1.45 % instead of 0.89 %.  Either way, the engine burns a fiftieth of its claimed fuel and then stops.

And the real situation is worse than the average suggests, because Brown's mechanism does not heat the crust uniformly.  It concentrates energy into narrow plasma channels.  Those channels pass 573 °C almost immediately.

This is not a hostile calculation.  Bryan Nickel, the hydroplate theory's most careful defender, ran the same numbers on his own spreadsheet and got 0.86 %.  He and this article agree to within a rounding error.  What neither he nor Brown appears to have noticed is that the shut-off temperature and the claimed energy release cannot both be true: the crust cannot absorb 7.72 × 10³⁰ J and also stay below 573 °C, and if it does not stay below 573 °C the mechanism that produced the energy no longer exists.

Problem three: "cold repacking" is a bill, not a payment

Brown's central answer to the heat problem is that the heat went into building heavy elements:

As the Proton 21 Laboratory has demonstrated, in what is call "cold repacking," most of the heat produced was absorbed in producing heavy elements, such as uranium.  Therefore, accelerated decay did not overheat the earth or evaporate all our oceans.1

The physics behind this is correct, and it deserves to be said clearly, because most critics wave it away.  Iron sits at the bottom of the nuclear binding-energy curve.  Fusing anything past iron costs energy rather than releasing it.  So building uranium out of ordinary crustal nuclei genuinely is endothermic.  Brown's instinct — that the answer to a nuclear heat problem might be found in nuclear structure — is a serious one, and at least one other creationist researcher, Barbara Helmkamp, arrived at a similar idea independently.

Work it out with measured masses and the numbers are striking:

build one 238U from average crustal nuclei    absorbs  156.0 MeV
full 238U -> 206Pb decay chain releases         47.0 MeV
net over the round trip                        109.0 MeV absorbed

That 47.0 MeV is a good sanity check on the method, because it independently reproduces the standard figure used in geoneutrino physics.  And the conclusion is real: synthesis swallows more than decay returns.

But this is precisely why it cannot solve the problem.  Manufacturing the earth's whole uranium and thorium inventory out of crustal nuclei costs about 1.3 × 10³² joules, and all of their subsequent decay returns only about 27 % of that.  Cold repacking is not a place to put surplus heat.  It is a demand for energy that dwarfs the surplus.  And problem two has just established that the account it draws on holds, at the very most, 10²⁶ or 10²⁷ joules.

There is also a timing problem, on Brown's own schedule.  He puts the manufacture of the elements at the beginning of the Flood and the accelerated decay in a compression event months later.  A sink has to be open when the heat arrives.  Brown's sink closes before the heat he needs it for is generated.

Problem four: the laboratory does not say what Brown says it says

All of the above rests on one citation.  Brown is emphatic about it:

Anyone who wishes to dispute the Proton 21 Laboratory's evidence should first read Controlled Nucleosynthesis and then explain the thousands of ruptured electrodes1

So the laboratory deserves a fair hearing, and it gets one here.

Proton-21 is a real laboratory, and this article will not pretend otherwise.  It was founded in Kiev in 1999 by private investors, originally as a venture to destroy radioactive waste.  Stanislav Adamenko directed it.  The first shot was fired on 24 February 2000 and more than five thousand followed.  The apparatus is a relativistic electron-beam vacuum diode that dumps a few hundred joules into a half-millimetre metal target in tens of nanoseconds.  The analytical work was done on serious instruments — secondary-ion mass spectrometry, glow-discharge mass spectrometry, Auger spectroscopy, Rutherford backscattering — at institutes outside the laboratory.

But four things must be said, and each of them is fatal to Brown's use of it.

It has not been replicated, in either direction.  There is no successful independent replication and no published failed attempt.  The "thousands of experiments" Brown mentions are Proton-21's own shots, all in Kiev.  The Springer volume he cites is an edited collection, not refereed primary literature, and it has eleven citations in nineteen years — nearly all from the authors themselves or from cold-fusion venues.  Exactly one paper appears in a normally indexed journal.

Its own headline claim is the opposite of what Brown needs.  The laboratory's flagship result is that its products are stable and that radioactivity is destroyed.  Brown needs a process that creates radioactivity.  He is citing a waste-disposal experiment as evidence for a waste-creation mechanism.

"Cold repacking" does not mean what Brown takes it to mean.  In Adamenko's own writing the phrase explains why the products come out non-radioactive — nucleons reassembling into ground states — and it appears inside a sentence claiming a net energy release.  That is an over-unity claim, not a heat sink.  Brown's reading is his own inference layered on top of the laboratory's words.

The measured yield is a fingerprint of the apparatus, not of the earth.  Summing the laboratory's own published table of "alien" atoms gives 1.63 × 10⁻⁴ grams across all thirty-nine elements — and carbon is 43 % of the atoms, followed by aluminium, lead, chlorine and sulphur.  That is what the inside of a vacuum system is made of.  No process blank is reported anywhere.

And nobody had checked.  Michael Oard's thirteen-thousand-word critique of the hydroplate theory never mentions Proton-21, Adamenko, nucleosynthesis or cold repacking — the words do not appear.  Neither do they appear in any mainstream physics literature, because no mainstream physicist has ever published on the laboratory at all, to endorse it or to refute it.  The single load-bearing citation in Brown's answer to the heat problem had never been examined by anyone on either side of the argument.

Problem five: the acceleration mechanism cooks the crust

Brown's second nuclear stage is the one that ages the rocks.  During the "compression event" at the end of the Flood — which he says "lasted less than 1 hour" — surging currents emit bremsstrahlung radiation, and those photons shake nuclei apart through a resonance:

The same thing happens in a nucleus whose vibrations are driven by streams of bremsstrahlung radiation … Each stream contains some of the resonant frequencies—about 5 × 10²¹ cycles (or "pushes") per second.  Amplitudes steadily increase and nuclei are repeatedly distorted into unstable shapes and unstable internal configurations.  Accelerated decay follows.1

The resonance he is describing is real, and he has the energy scale right.  It is called the Giant Dipole Resonance, it peaks around 14 MeV for uranium, and 5 × 10²¹ cycles per second works out to 20.7 MeV — genuinely in the band.  Brown is not inventing physics here.

The trouble is what else that photon field does.

Photonuclear cross sections are tiny and uranium is rare.  The photo-fission cross section for uranium-238 peaks at a few hundred millibarns.  Uranium is 2.7 parts per million of the crust.  Meanwhile Compton scattering and pair production happen on every atom of silicon and oxygen present, at cross sections thousands of times larger.  Putting those together:

Only about two parts in ten million of the photon field's energy ever reaches a uranium nucleus.  Everything else is deposited as ordinary heat in ordinary rock.

Now run the numbers.  The fluence needed to photo-destroy half the crust's uranium-238 deposits about 5 × 10¹³ joules per kilogram in the surrounding rock.  Over Brown's own crust that is 7 × 10³⁶ joules — a million times the 7.72 × 10³⁰ joules he is trying to explain away.

And the ratio is fluence-independent.  Turning the beam up or down does not help, because both terms scale together.

Brown built this mechanism specifically to avoid needing a miracle to remove heat.  The mechanism needs a miracle a million times larger than the one it replaced.  Worse, cold repacking cannot absorb this particular heat even in principle, because it is not nuclear: it is Compton electrons and electron-positron pairs depositing energy in silicon and oxygen.  There is no endothermic nuclear channel available to hide it in.

It also makes the wrong products

Set the energy aside and the mechanism still fails, because photo-fission does not produce what the young-earth argument needs to explain.

Splitting uranium-238 with a photon gives fragments near mass 95 and mass 140 — zirconium, molybdenum, xenon, barium, neodymium — plus a couple of neutrons.  It does not give lead-206.  And it barely gives helium: an alpha particle escapes in roughly one fission in five hundred, so photo-fission yields about 0.0018 helium atoms per event against the eight that a complete uranium-238 alpha chain produces.  That is a shortfall of more than four thousand.

But lead, helium and radiohaloes are exactly the things young-earth researchers point to.  Uranium-lead ages are alpha-chain products.  The helium in zircons is an alpha-chain product.  Radiohaloes are alpha-chain products.

And the Giant Dipole Resonance cannot accelerate alpha decay at all.  It lifts a nucleus above its neutron separation energy, after which the nucleus emits neutrons or fissions.  Nuclei that do not absorb a photon keep exactly the decay constant they had before.  Alpha decay is quantum tunnelling through the Coulomb barrier, and nothing in this mechanism touches the barrier.

Brown's two authorities contradict each other on the same page

On p. 400 Brown writes that "the demonstrated electrical mechanisms of Fritz Bosch and William Barker suddenly sped up radioactive decay a billion fold."  These are his two named precedents, and they do not agree.

Bosch is real and Brown reports him accurately.  In 1996, at the GSI storage ring in Darmstadt, Bosch and colleagues measured the decay of fully ionized rhenium-187 — every one of its 75 electrons stripped away — and the half-life collapsed from 42 billion years to 33 years.  That is a factor of about a billion, exactly as Brown says.

It does not transfer, for a specific and interesting reason.  Rhenium-187 has the smallest known beta-decay energy of any nuclide, just 2.5 keV.  Strip the electrons and a new channel opens — the emitted electron drops straight into the empty innermost shell rather than escaping — and the available energy jumps to 72.9 keV.  Because beta rates depend steeply on that energy, a small absolute change produces an enormous rate change.  Nothing about this generalizes to uranium or thorium, and nothing about it applies to alpha decay.  It also requires bare nuclei in an ultra-high vacuum: a bare nucleus inside solid rock recaptures electrons in about 10⁻¹⁶ seconds, and stripping rhenium requires temperatures near a billion kelvin, while Brown insists on the same page that his mechanism dies at 846 K.

Barker says the opposite, and Barker is right.  Brown's own endnote points to Barker's patent, and the patent states that for alpha decay, stripping electrons slows the decay: "if all of the atomic electrons were stripped off the thorium atom, the half life would be increased from 80,000 to 146,000 years."  That is the correct sign — the electron cloud slightly screens the Coulomb barrier, so removing it makes tunnelling harder.  Brown cites both sources on the same page as though they pointed the same way.

How much acceleration does Brown actually need?

More than RATE does, by four orders of magnitude, because his window is shorter.  RATE compresses about 500 million years of decay into a Flood year.  Brown puts his accelerated decay inside a compression event lasting "less than 1 hour."

4.5e9 years of decay in under 1 hour  ->  3.9e13 x acceleration

For comparison, the largest genuine environmental effects on decay rates ever measured — pressure, chemical state, ionization in ordinary matter — are at the 0.1 % level.  The disputed and largely unreplicated claim of a seasonal solar influence is smaller still.  Brown needs 3.9 × 10¹³.

Problem six: the disposal routes, and a budget that is upside down

Brown's remaining three answers can be handled quickly, because two of them are not sinks at all.

Boiling moves heat; it does not destroy it.  Brown knows boiling heat transfer better than almost anyone writing on this subject — his 1967 MIT doctoral thesis was A Study of Flow Surface Boiling, and his description of nucleation, jetting, thermocapillary flow and burnout is accurate and vivid.  But every one of those processes carries energy from the rock into the water.  The water then has it.  For scale: 7.72 × 10³⁰ J spread through all of today's oceans is 5.5 × 10⁹ joules per kilogram, which is about 2,400 times the energy needed to flash every drop to steam, and enough to ionize it.  There is no state of water that holds this.

Ionization stores energy; it does not remove it.  Brown's fourth route — "the more the water molecules break into ions … so most of the energy becomes electrical, not thermal" — describes a real effect and draws the wrong conclusion.  Dissociation energy is recovered on recombination.  Putting energy into chemical bonds is a bank, not a furnace.  And the reservoir cannot hold it in that form either.  Baumgardner ran this one too: Brown's own 7.7 × 10³⁰ J into Brown's own 8.2 × 10²⁰ kg of subterranean water is 9.4 × 10⁹ J/kg, against the 2.4 × 10⁸ J/kg needed to ionize water completely — about forty times over.  The water does not become a warm conductive fluid that quietly carries the energy away.  It becomes a plasma under a granite lid, which is Brown's crust-launching mechanism firing at the wrong time and for the wrong reason.

Radiation to space is a real sink, and it is rate-limited.  To radiate 7.72 × 10³⁰ J away over the forty days of Brown's fountains, the earth would have to shine as a blackbody at about 16,700 K — roughly three times the surface temperature of the sun.  This is the number every popular defence of the model omits.

That leaves ejection into space, which really does export energy — and here Brown's own book defeats him.  His Table 44 lists what has to be launched to make the comets, asteroids, irregular moons and trans-Neptunian objects, with masses and velocities.  Every row reproduces from ½mv².  The total is 1.15 × 10³¹ J, and Brown then writes:

Perhaps twice this energy was needed … Let's assume that the total energy required was 2.2 × 10³⁸ ergs.1

That is 2.2 × 10³¹ J.  And on the very next line, under the heading "Energy Available," he acknowledges the gap himself:

just the production of deuterium (heavy hydrogen) in Earth's oceans released 7.72 × 10³⁷ ergs of energy (one-third of the needed energy)!  Many other isotopes were produced which would have released additional energy.1

Brown's own budget is short by a factor of 2.8 before a single joule is spent on heat, and he closes the gap with a promise rather than a calculation.  The launch requirement alone consumes everything he has and then some.  There is nothing left over to be the heat problem's solution, because the heat problem's supposed solution has already been spent on the comets.

One further point that Brown's astronomical critics missed.  His Table 44 launches 1.83 × 10²³ kg of material — 224 times the mass of water in his own subterranean chamber, and 131 times the mass of today's oceans.  Even excluding the trans-Neptunian row, whose mass Brown himself calls uncertain, it is still about twice the mass of the modern oceans.  The chamber cannot supply what the table requires.

The comets carry a testable prediction, and it failed

Brown's model makes one genuinely sharp, falsifiable prediction, and it is worth stating because so few models in this field do.

If comets are ejected earth ocean water, they should all share one deuterium-to-hydrogen ratio.  Brown says what it is: twice the ocean value.  One reservoir, one event, one number, no spread.

Measured comets run from 1.03 to 3.40 times the ocean value.5  A threefold scatter is not what a single-reservoir origin produces.  This is a place where Brown did the honourable thing — he made a prediction that could be checked — and the check came back negative.

The killer objection: Brown counted the wrong column

One argument deserves separate treatment, because it is the most damaging thing anyone has said about the model, and because it shows that Brown's headline number is not what it appears to be.

Recall how Brown got his energy figure: he counted neutrons, using the ocean's deuterium as the tally.  Baumgardner's objection is that in any fission event, neutrons are the small part.

When a heavy nucleus splits, roughly 80 % of the energy released is the kinetic energy of the two charged fragments flying apart.  Those fragments are heavily ionized and stop within microns — they become heat essentially where they are born.  The prompt neutrons carry only a few percent.  So a calculation that counts neutron energy and stops has counted the smaller column and called it the total.

Baumgardner's own words, from his critique of Brown in the Flood Science Review:

Most of the energy released in nuclear fission is in the kinetic energy of the fission fragments, energy which almost instantly is converted into heat.  For ²³⁵U, the ratio of the kinetic energy of the fission fragments to the kinetic energy of the neutrons produced in the fission process is about 33. … If the kinetic energy of the fission fragments was 33 times that of these fast neutrons, the waste heat arising from these fission fragments alone would be 7.9 × 10³¹ J, which is 3.6 × 10⁹ J/kg of granite, enough to vaporize the entire granite crust hundreds of times over.3

And then the sentence that has been quoted at second hand for fifteen years, here from the original:

Note that Brown does not mention, even once, the gigantic problem of the waste heat that is implied by the processes he hypothesizes.  Obviously, vaporizing the outer tens of kilometers of the Earth is unacceptable.  Why does Brown not mention this waste heat issue?  One obvious reason is that there is no conceivable solution for it.3

This means Brown's 7.72 × 10³⁰ J was never a total.  It is a lower bound on one channel, and the waste heat is an order of magnitude larger — before counting the fusion step, which Baumgardner notes "surely must have released, at a minimum, a factor of ten more energy as waste heat and probably much more."

One fairness check, which Brown's defenders have not made and which he is entitled to.  Baumgardner wrote against an earlier edition, using a crust ten miles thick.  Brown later revised it to sixty miles, which spreads the same energy through six times more rock.  Does the argument survive?

7.9e31 J / 1.4e23 kg (Brown's revised 60-mile crust) = 5.6e8 J/kg
vaporizing granite takes about 1e7 J/kg
                                   -> still 56x over

It survives.  The thicker crust turns "hundreds of times over" into "fifty-six times over," and fifty-six times the energy needed to vaporize the crust is not a recoverable position.

Brown answered Baumgardner, but not about this

It would be easy to assume Brown simply never saw the criticism.  He did, and his reply is instructive.

In the ninth edition Brown devotes a section to why creation organizations disagree, and goes after Baumgardner's catastrophic plate tectonics by name.  He numbers the assumptions it needs — "Required Miracle #1" through "#7" — and he documents each one from Baumgardner's own papers rather than characterizing them.  Miracles #1 and #2 come from this passage, which Brown quotes in full:

Finally, it seem[s] evident that the Flood catastrophe cannot be understood or modeled in terms of time-invariant laws of nature.  Intervention by God in the natural order during and after the catastrophe appears to be a logical necessity.  Manifestations of the intervention appear to include an enhanced rate of nuclear decay during the event and a loss of thermal energy afterward.11

And Miracle #7 is the heat problem itself, in Brown's words:  "God must have removed that heat—quickly."

So Brown saw the heat problem clearly, named it in a rival's model, and sourced the admission.  That is the same charge he levels at RATE, pressed harder, with citations.

But the phrase "waste heat" does not appear anywhere in the book.  Brown answered the man and not the argument — and the argument was that the identical objection lands on Brown's own model.  He never engaged the fission-fragment accounting, and he never engaged the strain-energy limit that the same critique derives.  Nor is there any reply in print to Michael Oard's or Danny Faulkner's critiques of his heat and energy claims; Creation Ministries International's own assessment is that "there does not appear to be much in the way of substantive interaction with these arguments."  Brown died in 2025, so there will not be one.

Where Brown's critics are wrong

This article grades everyone by one standard, so here is where the criticism of Brown fails.

Glenn Morton's "64 million degrees" is dimensional nonsense.  Morton, a petroleum geophysicist and former young-earth creationist, computed the stored thermal energy in Brown's subterranean water and got a real and important number — this is heat that exists in the model before any nuclear physics is invoked.  But he then divided an energy per unit area by a specific heat and called the result a temperature.  Those units do not produce a temperature.  His underlying point stands; his headline figure should not be repeated.

Morton's "no mountains" calculation is now out of date, in Brown's favour.  Morton showed by elastic-plate flexure that a mountain on Brown's pre-Flood earth would crack the crust and release the water prematurely.  The method is sound, but he used a crust 5 to 16 km thick, from Brown's earlier editions.  Brown's later editions specify about 100 km.  Flexural rigidity scales as the cube of thickness, so Morton's result is off by three to four orders of magnitude in the direction that helps Brown.  The argument needs redoing before anyone uses it, and it may not survive.

Glen Kuban understates his own case by a factor of a thousand.  Kuban's critique is the most comprehensive anti-creationist treatment of the hydroplate theory on the web and its conclusion is correct.  But he writes that 1 % of Brown's energy remaining on earth "would still leave the equivalent of almost 14 H-bombs for every cubic kilometer of sea water."  Redo it: 1.8 × 10¹⁵ megatons × 1 % ÷ 1.3 × 10⁹ km³ gives about 14,000 bombs per cubic kilometre, not 14.  The error runs in Brown's favour, so it does not damage Kuban's conclusion, but it should not be quoted as written.  He also relies at one point on calculations posted in Amazon customer reviews, which is not a citable source even when the arithmetic is right.

The strongest critic argument is one of the quietest.  Danny Faulkner assumed that only one millionth of the kinetic energy of Brown's jets is thermalized in the atmosphere, and got a 34 °C rise in global air temperature — then pointed out that one in a million is an absurdly generous assumption.  The argument survives any plausible revision of Brown's numbers.  Brown's published reply, according to Creation Ministries International, appeals to "directed energy" with no analysis and no engagement with the calculation.

And one thing must be said about the shape of this literature.  No physicist outside creationism has ever engaged Brown's radioactivity chapter at a technical level.  Kuban summarizes it and checks the totals; Morton's page predates the chapter.  Every competent critique of Brown's nucleosynthesis is by a young-earth creationist — Baumgardner, Faulkner, Carter, Isaacs, Oard.  A reader who assumes this is creationists versus scientists has the picture badly wrong.

What the rest of the young-earth world says

It helps to know where Brown's answer sits among the alternatives, because the honest reader's next question is whether anyone else has done better.

Nobody has.  Ranked by how much of the problem each actually removes:

  1. Miraculous removal. The majority position, held openly by Baumgardner since 1986, by Creation Ministries International, and by Worraker. It is not a scientific answer, and its holders say so. It is "best" only in the sense of being honest about the arithmetic instead of pretending to physics it does not have.
  2. Baumgardner's supersonic steam jets. The best natural mechanism anyone has proposed, because it removes energy by removing mass and the arithmetic is done from first principles. Its limits are real — it addresses ocean-floor heat, not accelerated decay, and subsequent modelling could not reproduce observed seafloor depth and heat flow.
  3. Brown's cold repacking. The most ambitious idea in the field, and the one examined above. It fails on the energy source.
  4. Barbara Helmkamp's nuclear latent heat. Structurally the same idea as Brown's, developed independently, confined to the radiohalo problem, done more carefully, and labelled incomplete by its own author.
  5. Humphreys' four-dimensional thermal radiation. The most explicit and checkable proposal ever made, and refuted in detail by Worraker in 2022 — on four counts, the last being that in four spatial dimensions electron orbits are unstable, so atoms cannot exist. Worraker's acknowledgements thank Humphreys personally for helping compute the coefficient that refutes him, and the refutation was published in a young-earth journal. That is how this is supposed to work, and it deserves to be noticed.
  6. Humphreys' earlier cosmological volume cooling. Physically wrong, removes at most 75 % of the energy on its own worked example, and would have frozen the oceans and Noah. RATE hedged it themselves in 2005.
  7. Setterfield's decaying speed of light. Makes the problem worse, because the energy per decay scales as c².

On the institutional question: Answers in Genesis does not promote the hydroplate theory, and its journal has published against the model's liquefaction submodel.  Creation Ministries International commissioned Michael Oard's critique after years of correspondence, explaining that Brown had repeatedly declined to submit his model for peer review.  Oard's verdict on the radioactivity chapter is that Brown's mechanism "seems orders of magnitude insufficient to cause radioactive elements" — an adjective that Baumgardner and Carter later supplied numbers for.

And there is one formal adjudication, with a caveat.  The Flood Science Review of 2009–2011 is the only moderated, multi-round, adversarial written review any Flood model has been through.  Brown took part in three of the five rounds and then withdrew.  Six of ten panellists judged catastrophic plate tectonics the most defensible model; the moderator concluded that none was ready.

The caveat is worth stating before anyone calls this peer review in the ordinary sense.  Panellists were paid $2,000 each, and the old-earth and local-flood scholars who were invited — Davis Young, Hugh Ross and Carol Hill — all declined.  So no position outside young-earth global-Flood geology was actually defended in it.  It is the best adjudication this field has produced, and it is an in-house one.  Brown died in 2025.

Most people who encounter this argument encounter it on YouTube, not in Brown's book.  Two bodies of video dominate: Bryan Nickel's tutorial series, and the Standing For Truth channel.  A reader who has watched them deserves to know which parts hold up, so both were transcribed in full and audited claim by claim.

Bryan Nickel's tutorial series

Nickel is a mechanical engineer in the aerospace industry, and his twelve-video tutorial is the most careful popular presentation the hydroplate theory has.  The distinct material runs 6 hours and 7 minutes.  Part 8, "Origin of Earth's Radioactivity," runs 36 minutes.

The tutorial contains no energy budget at all.  Across the entire six hours there is not one joule, erg, megaton, calorie or watt.  The word "energy" appears constantly; a number attached to it never does.  Brown's own headline figure is never spoken.  The answer to the heat problem, in the videos, is a photograph of Nickel's hand held beside a propane torch, the observation that expanding fluids cool, and the observation that space is large.  Part 8 says of itself that it is "an overview of Walt Brown's online chapter," and it adds no physics to it.

But the videos are not the whole corpus, and the rest is much better.  In 2019 Nickel spent five radio programs — three and a half hours — answering twenty specific heat criticisms from Glen Kuban, Tony Reed, Danny Faulkner and John Baumgardner by name, and he built two spreadsheets and published them.  Those spreadsheets are the only original heat calculations anyone in the hydroplate camp has produced.  They go beyond Brown's book.  They deserve to be engaged, and they are the reason this section exists.

Both are arithmetically flawless.  Both are physically wrong, and each fails in a way that can be shown cleanly.

The fountain-temperature spreadsheet.  Nickel wants to show that the erupting water cooled rather than heated, so he applies the standard compressible-flow relation for stagnation temperature, starting from a 1300 °F reservoir and a jet speed of 32 miles per second, and gets −459 °F — essentially absolute zero.  Every cell checks.

The error is that he used the speed of sound in the reservoir where the equation calls for the local speed of sound in the moving gas, so the relation is never solved self-consistently.  Solve it properly and the same equation returns −819,000 K — a negative absolute temperature, which is the equation's way of announcing that the problem has no solution.  Translated into plain terms: a 1300 °F steam reservoir can accelerate itself to about 1.1 miles per second by expansion, not 32.  Nickel's own chosen equation says the fountains need roughly 840 times more energy than the reservoir contains.

The crust-heat spreadsheet.  This is the origin of the LED comparison that the rest of the popular literature repeats.  Nickel takes Brown's energy figure — and, to his credit, also the ninth edition's revised larger figure and Baumgardner's factor of 33 — spreads it evenly through Brown's 60-mile crust over 40 days, and gets 0.05 watts per cubic centimetre.  That is 519 times less power density than a small indicator LED, and indicator LEDs do not melt.  Again, every cell checks.

The error is that power density means nothing without a length scale.  An LED does not melt because heat leaves it: it is a millimetre across and it sits in a room.  Heat diffuses about two metres through granite in 40 days.  Brown's crust is 97,000 metres thick.  There is no room for the heat to go.  Run Nickel's own three numbers as a temperature rise instead of a power density and his spreadsheet gives +64,000 K.

Nickel concedes more than he may realize, and he does it in writing.  On his own 2019 worksheet, next to Baumgardner's figure, he wrote: "joule ← do not understand JB's calc."  In a 2025 seminar he walked back the central claim of his own Part 8 — that the process is adiabatic — saying "we don't want to say that the whole process is adiabatic … I wish I was more clear in that part of the statement in even in my video."  In the same seminar, asked about the thorough heat treatment he has been promising, he said it is "on six years now."  It was announced as coming in 2021.  It does not exist.

And in Part 4 he states, in passing, that the friction of continents sliding "melted the surfaces" — which is a large heat source that appears nowhere in any budget he or anyone else has published.

On the critics: Nickel answers Oard once, on a side issue unrelated to heat.  He answers Faulkner's thermalization argument four times, always with the same appeal to directed energy and boundary conditions, and never with arithmetic.  Faulkner's actual number is never engaged.

The fair summary is that Nickel is the best thing the hydroplate camp has, and that he is the one who shows most clearly that the budget does not close.  He is the only defender who reached for a spreadsheet, and both spreadsheets, corrected, argue against him.

Standing For Truth

Sixteen videos on this channel bear on heat, accelerated decay or the hydroplate theory.  All were transcribed and every distinct claim was checked against the sources cited.  The result was sixty-nine leads: fifteen sound, eight sound but weak, twenty-four needing work, sixteen dead, and six unverifiable.

That count flatters the material, because most of the "sound" items are correct arithmetic about quantities that do not matter.  Four findings dominate.

The flagship video answers an argument that was never made.  "Responding to King Crocoduck on the Heat-Problem" runs three hours and responds to a debate in which the opponent made no heat argument at all.  Searching the full debate transcript for "joule," "erg," "watt," "megaton" or "calorie" returns nothing.  His argument was about ionizing radiation dose, and he interrupts to say so: "I'm not asking for an account of where the thermal radiation went."  The energy figure quoted back at him — 1.51 × 10³⁰ J — appears nowhere in his material, and is attributed on camera only to "a specific person" and "which some say."

The one hard citation to a national laboratory is refuted by the report it names.  The channel claims that Sandia National Laboratories began reproducing the Proton-21 results on which the whole cold-repacking answer depends.  The report is Sandia SAND2009-7874, it is free to download, and it never tested a Proton-21 sample.  It tested an aluminium surrogate and concluded that the anomaly was "consistent with the ejection of impurities that were not in solution in our alloy."  That is an ordinary, non-nuclear explanation for precisely the signature Proton-21 calls transmutation.

The most-repeated argument in the whole corpus is arithmetically right and physically empty.  Spreading Brown's own energy through Brown's own crust over forty days really does give 45 milliwatts per cubic centimetre, which really is less than an LED bulb.  But the same three numbers give a temperature rise of 63,500 K, a required surface heat flux fifty billion times the earth's actual heat flow, and a blackbody earth glowing at 16,700 K.  A light bulb stays cool because it sits in a room.  Power density is not the question; disposal is.

And the channel hosts an intra-creationist fight it never acknowledges.  Walt Brown appears on it saying of Baumgardner's rival model, "I agree he's got a terrible viscosity problem terrible."  One panellist cites a mainstream seismology paper specifically to destroy the cold-slab evidence that another video on the same channel calls the best confirmation of catastrophic plate tectonics.  The hydroplate material says the earth's core was melted by Flood energy; the channel's own 2025 model says the core absorbed it and warmed by twenty degrees.  Another guest argues that young-earth creationism does not need accelerated decay at all, which would delete the heat problem and its supporting evidence together.

What is worth citing, and it is short.  Four items, three of them concessions against interest: Bryan Nickel admitting on camera that there is no closed energy balance; George Bond admitting there is no transport mechanism; the observation that RATE concedes its own heat problem, which establishes on the record that each of the two leading young-earth Flood models regards the other's heat problem as fatal; and one genuinely sharp argument, discussed next, which is stated better here than by most critics and pointed the wrong way.

The thermometer argument, and who it belongs to.  The channel's host makes this point: radiohaloes anneal above about 150 °C, zircon fission tracks anneal between roughly 200 and 350 °C, and helium leaves zircon above about 180 °C.  These delicate features exist in granite.  Therefore, he argues, there must have been a supercooling mechanism, possibly supernatural, or the features would have been erased.

Every step of the observation is correct, and the conclusion is backwards.  The argument assumes that accelerated decay happened and reasons to a cooling miracle.  Drop that assumption and the same observation becomes the strongest single argument against accelerated decay: the same granite cannot absorb tens of thousands of degrees' worth of energy and also remain below 150 °C.  He states the dilemma sharply — "they are caught between a rock and a hard place" — and then chooses the wrong horn.

Overall verdict on this material: cite it for concessions, never for support.  Nothing in it can carry a paragraph.  Its failures are the standard ones — answering heat with transport, never closing a budget, treating two mutually exclusive Flood models as one answer, and reaching for secondary sources where primary ones exist.

Both sides were graded the same way.  Brown's critics on YouTube fare no better.  One states an acceleration factor that understates RATE's own published requirement by a factor of 650.  Another computes a per-square-kilometre figure sixteen times too low, against her own interest, and conflates Brown's launch energy budget with his heat budget — though she is also the only participant in the entire corpus who keeps the two rival creationist models straight, which is worth saying.

Objections and responses

"You are judging a model by an early edition.  Brown revised it."  Fair, and the ninth edition does revise some numbers upward.  But revising the energy released upward makes every problem in this article worse, not better, because the constraint that binds is the energy available.  Nickel's own spreadsheet uses the revised figure and still produces 64,000 K.  Where the ninth edition text could not be obtained, this article says so.

"Brown was an MIT PhD in mechanical engineering.  He understood heat transfer better than his critics."  He did, and this article says so more than once.  His doctoral work on flow surface boiling was real, and his description of boiling physics is the most competent thing in the popular literature on either side.  But expertise in moving heat is exactly what makes the error here easy to fall into.  Boiling is the best heat-transport mechanism there is, and no amount of transport is disposal.  The energy that leaves the rock is in the water, and the water is still on the planet.

"Space is an infinite heat sink."  True and irrelevant at the required rate.  Space accepts energy only as fast as the earth can radiate it, and radiation is governed by temperature to the fourth power.  Dumping Brown's energy in forty days requires the earth to shine at about 16,700 K.  The sink is infinite; the pipe to it is not.

"Only a fraction of the energy stayed in the crust."  Then the argument needs a number for that fraction, and nobody in the hydroplate camp has published one.  Brown's own Table 44 shows that the launch requirement alone exceeds his entire claimed energy release by a factor of 2.8, so on his own arithmetic there is nothing left over.

"Mainstream physics cannot explain the earth's heat flow either."  This is the most common rejoinder in the videos, and it is a change of subject.  The observed heat flow is about 47 terawatts and about half of it is measured directly as geoneutrinos from uranium and thorium decay.  Whatever is unresolved there involves factors of two, not factors of a million.

"The critics are just atheists defending an old earth."  Not here.  Every quantitative critique of Brown's radioactivity chapter — Baumgardner's, Faulkner's, Carter's, Isaacs', Oard's, Worraker's — was written by a young-earth creationist.  No physicist outside creationism has ever engaged the chapter technically.

"The samarium argument assumes the neutrons were thermal."  It does, and so does Brown.  He needs slow neutrons, because slow neutrons are what hydrogen captures to make the deuterium his whole energy figure is built on.  Fast neutrons are captured by hydrogen ten thousand times less readily.  The moment the neutrons are fast enough to spare the samarium, they stop making the deuterium.

"Perhaps some of these calculations are wrong."  Perhaps.  The scripts are published beside this article precisely so that they can be checked, and where a number is uncertain it is labelled uncertain.  But notice the structure of the case: it does not rest on any one calculation.  Brown's model is contradicted by his own Table 44, by his own endnote 82, by his own quartz shut-off temperature, by his own citation to Proton-21, by the isotopic composition of ordinary rock, by the measured spread in comet water, and by three independent young-earth researchers who checked his energy budget.  Removing any one of these changes nothing.

The verdict

Walt Brown asked the right question and got the wrong answer, and the wrong answer is more interesting than most right ones.

He saw that his own movement was solving a physics problem by decree, and he said so in print, to his own readers, in a book they had bought to be reassured.  That took integrity, and nothing in this article touches it.  He then tried to build a natural mechanism to replace the miracle, and he published the numbers — including the number that says his energy release would melt the earth.

The mechanism does not work, and it fails at the beginning rather than the end.  His heat sink turns out to be a heat demand: cold repacking really is endothermic, which means it needs an enormous energy supply that his flexing crust cannot provide.  His acceleration mechanism, worked out with measured cross sections, deposits about a million times more heat than the decay it is meant to accelerate.  His own book requires 2.8 times more energy to launch the comets than he claims the whole event released.  His own endnote on photoneutron thresholds turns his energy source into a net sink.  His own shut-off temperature for quartz extinguishes his engine after 1 % of the claimed output.  And the neutron bath his model requires would have left an isotopic scar on every rock on earth that is found in a few cubic metres of ore in Gabon and nowhere else.

The deepest irony is that Brown was right about the physics and it ruined him.  He was right that building elements past iron absorbs energy.  That is exactly why it cannot be the answer: an endothermic process is a bill, and he had no way to pay it.

Credit where it is due

His diagnosis of the young-earth heat problem is the clearest statement of it by anyone in the movement.

His energy figure is honest, reproducible, and lands within 2 % of the independent modern estimate by a completely different route.

He states the damaging consequences of his own numbers in his own endnotes.

He cites Fritz Bosch's measurement accurately.

He makes at least one genuinely falsifiable prediction — the deuterium ratio of comets — and that is more than most of this field offers.

And on radiation, his model is in materially better shape than RATE's, for a reason nobody seems to have noticed: because he has the radioactivity being created during the Flood rather than accelerated, Noah's own body contains no potassium-40, and RATE's worst dose problem simply does not arise.

What would change this verdict

An independent replication of Proton-21's transmutation results, by a laboratory with no connection to Kiev, reporting a process blank.

A published energy budget for the hydroplate model that closes — one that states the source, the sinks, and the total, in joules, and balances.

A terrestrial rock, anywhere, showing the samarium-149 and gadolinium-157 depletion that Brown's neutron fluence requires.

Any mechanism that accelerates alpha decay by a factor of 10¹³ without depositing the energy that acceleration requires.

None of these exists today.  The first three are experiments somebody could actually do.

Sources

The research dossiers behind this article, the transcripts, and the Python that produces every computed number are in the research folder beside it.


  1. 1.

    Brown, Walter T. Jr.  In the Beginning: Compelling Evidence for Creation and the Flood.  Center for Scientific Creation, Phoenix.  8th edition.  2008.  A book by Walt Brown, a retired Air Force colonel who holds a Ph.D. in mechanical engineering from MIT and says that the earth is young.  It sets out his hydroplate theory of the flood, and its chapter "The Origin of Earth's Radioactivity" runs from book page 381 to page 435.  The article quotes Brown's own answers to the heat problem from it, so his words are what the article tests.

    1. 1a.

      Page 400:  Sidebar titled "When, Where, How, and Why Did Radioactive Decay Rates Accelerate?"  “While I agree that the earth is young, miracles should not be imagined to solve scientific problems.  That would violate the most basic rule of science.” ↩ ↩

    2. 1b.

      Pages 428–429:  Endnote 89. ↩ ↩

    3. 1c.

      Page 381:  Chapter summary.  “As the flood began, stresses in the massive fluttering crust generated huge voltages via the piezoelectric effect.” ↩

    4. 1d.

      Page 395. ↩

    5. 1e.

      Page 400. ↩

    6. 1f.

      Page 400. ↩

    7. 1g.

      Page 433:  Endnote 102. ↩

    8. 1h.

      Page 400:  Also Figure 206 on page 393, and endnote 81. ↩

    9. 1i.

      Table 44, page 600:  The table is titled "Four Energy Requirements," and the paragraph beneath it is also cited. ↩

    10. 1j.

      Page 600:  Under the heading "Energy Available". ↩

  2. 2.

    Vardiman, Larry et al.  “Summary of Evidence for a Young Earth from the RATE Project.”  Radioisotopes and the Age of the Earth, Vol. 2, ch. 10.  Institute for Creation Research.  2005.  A summary chapter by eight young-earth creationist scientists, five of them at the Institute for Creation Research.  It reports what the RATE project found when it investigated radioactive decay and rock-dating methods, and its main result is that nuclear decay appears to have sped up during brief periods of earth history.  The article uses it as the RATE team's own statement of the heat problem and of their answer to it.

    1. 2a.

      Page 761:  “The heat would have melted the crustal rocks many times over unless there was some mechanism for simultaneously removing it quickly.” ↩

    2. 2b.

      Page 762:  One of three possibilities the team infers from Noah's survival of the Flood.  “God supernaturally protected Noah and his entourage by rapidly removing the large amount of heat that was produced by some unknown mechanism”. ↩ ↩

  3. 3.

    Baumgardner, John.  “Author-to-author critique of the hydroplate model.”  The Flood Science Review, 520–528.  In Jesus' Name Productions.  2011.  An author-to-author critique of Brown's hydroplate model, printed in The Flood Science Review.  The article uses it for Baumgardner's own energy and strain calculations against the model.

    1. 3a.

      Pages 524–525:  The derivation is in Appendix A, pp. 527–528: u_max = E(2πy₀/L)⁴/2 = 260 J/m3 at a granite density of 2700 kg/m3 = 0.10 J/kg, for y₀ = 1612 m, L = 1000 km and E = 5 × 10¹⁰ Pa. ↩ ↩

    2. 3b.

      Page 526:  Baumgardner sources the ratio of fission-fragment to prompt-neutron kinetic energy, about 33, to the Nuclear Weapons Archive.  He takes the vaporization enthalpy of granite as about 1e7 J/kg. ↩ ↩

    3. 3c.

      Page 527. ↩

  4. 4.

    Carter, Robert, and Edward Isaacs.  “Hydroplate Theory energy budget falls short of expectations.”  Journal of Creation 37(1):87–93.  2023.  A paper in Journal of Creation that checks the energy budget of Brown's hydroplate model and finds it falls short of expectations.  The article uses it for the total gravitational energy that the two authors compute for Brown's pre-Flood earth.

    1. 4a.

      The authors' figure for the total gravitational potential energy of Brown's pre-Flood earth: 2.38 × 10²⁷ J. ↩ ↩

  5. 5.

    Lis, Dariusz C. et al.  “Terrestrial deuterium-to-hydrogen ratio in water in hyperactive comets.”  Astronomy & Astrophysics 625:L5.  2019.  A short letter reporting a new measurement of the deuterium-to-hydrogen ratio in water from comet 46P/Wirtanen, made with the SOFIA airborne telescope.  It found the ratio the same as in Earth's oceans, and a clear link between the ratio and how active each comet's surface is.  The article uses it for the range of measured comet ratios, which it sets against Brown's single-source prediction.  Mirror:  arXiv

    1. 5a.

      Measured cometary D/H spans 1.03 to 3.40 times the ocean (VSMOW) value across nine comets. ↩ ↩

  6. 6.

    Worraker, William.  “Heat Problems Associated with Genesis Flood Models — Part 4: Heat Deposited by Magmatic Activity.”  Answers Research Journal 15.  2022.  The fourth paper in a series by William Worraker on the heat deposited in forming igneous and metamorphic rock, here the heat from building the ocean floors and the large igneous provinces.  Its summary table of the earth's global energies gives the radiogenic heat (heat from radioactive decay) generated in 4.5 billion years, and the article compares that figure with Brown's.

    1. 6a.

      Table 1:  Total radiogenic heat over 4.5 Ga, 7.6 × 10³⁰ J. ↩

  7. 7.

    Oard, Michael J.  “Analysis of Walt Brown's Flood model.”  Creation Ministries International.  Mar 19, 2013.  A 13,000-word web critique of Brown's hydroplate model by Michael J. Oard, a field geologist and full-time researcher, written for Creation Ministries International after Brown declined to submit the model to the Journal of Creation for peer review.  The article uses it for Oard's judgement that Brown's mechanism for making radioactive elements seems orders of magnitude insufficient.

    1. 7a.

      “His ideas on the formation of radioactive elements equally suffer from a lack of quantitative evidence.  Furthermore, Brown's mechanism of fluttering or waving of upper granite crust and water hammers seems orders of magnitude insufficient to cause radioactive elements.” ↩

  8. 8.

    Worraker, William J.  “Heat Problems Associated with Genesis Flood Models — Part 1: Introduction and Thermal Boundary Conditions.”  Answers Research Journal 11:171–191.  2018.  The first paper in a series by William J. Worraker, a creationist with the Biblical Creation Trust in the United Kingdom, on how much heat the Genesis Flood would have produced.  It reviews the present and recent temperatures, and the heat-producing elements, of the earth's mantle, crust and oceans, and gives only preliminary figures for granite.  The article quotes its estimate that accelerated decay would have produced more than 13 times enough heat to melt granite, which the paper itself calls somewhat misleading.

    1. 8a.

      Page 185. ↩

  9. 9.

    Worraker, William, and Paul Garner.  “Research projects — Heat problems.”  Biblical Creation Trust.  2016.  A summary page for a Biblical Creation Trust project that reviews the literature on the heat problems of Flood models and adds calculations.  It estimates that accelerated nuclear decay, catastrophic plate tectonics and bombardment from space are each overwhelmingly sufficient to melt the crust or boil the oceans, and it says no general explanation of how the heat was avoided has been found.  The article uses it for that summary.

    1. 9a.

      Section The bottom line:  “Each is overwhelmingly sufficient to melt the entire Earth's crust or to boil away the oceans.” ↩

  10. 10.

    Doyle, Shaun.  “Too much heat in Noah's Flood?”  Creation Ministries International.  Jul 25, 2020.  A reply to a reader who asked whether the Flood's heat would have been too much for marine animals to survive.  Doyle argues that there is likely some supernatural activity in the Flood's cause-and-effect story, and the article uses it for CMI's statement that there is no simple scientific answer to the heat problem.

    1. 10a.

      “There is no simple scientific answer to this issue.  Indeed, there may not be one.  However, this need not be problematic.” ↩

  11. 11.

    Brown, Walt.  In the Beginning.  9th edition.  2019.  Walt Brown's book, in its ninth edition, running to 640 pages.  The article quotes it for Brown's own statement that the Flood needed divine intervention in its nuclear decay and heat loss.

    1. 11a.

      Section Why Do Creation Organizations Have Differences?:  About page 565.  Brown quotes John Baumgardner, "Numerical Simulation of the Large-Scale Tectonic Changes Accompanying the Flood," Proceedings of the First International Conference on Creationism, Vol. 2 (1986), p. 24.  Brown labels the two clauses "Required Miracle #1" and "#2". ↩

  12. 12.

    Enyart, Bob, and Bryan Nickel.  “RSR Answers the Hydroplate Theory Heat Problem.”  Real Science Radio.  2019.  A radio series in five programmes, broadcast from 22 March to 19 April 2019, that answers the heat objections to Brown's hydroplate model.  Its show-note pages list the twenty heat objections raised by Glen Kuban, Tony Reed, Danny Faulkner and John Baumgardner, and host Nickel's two spreadsheets.  The article cites it for the twenty heat objections that Brown's defenders have collected and answered.

    1. 12a.

      The twenty heat objections, collected and answered by Brown's own defenders; objections 17-20 are Baumgardner's.