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Primer: zzz-Unknown ("The Subquantum Plenum", R. N. Boyd)

Study document for the reader. It adds no new verdicts; every verdict below is the arbiter's (arbiter.md). Source tags: [read] = the essay or a file saved in research/; [web] = an Internet source, URL given (mostly via the Investigator, research/ and sites.md); [memory] = recalled, with confidence; [calc] = arithmetic reproduced in example.py.

Source note. The project folder holds one document, Subquantum.Plenum.doc, an unsigned essay of 2002 or later [read]. The Investigator found the identical text on Robert Neil Boyd's own website, so the author is R. N. Boyd [web: research/2026-10-04-wayback-rialian.md; worlds-within-worlds.org/rnboyd.php]. The text was fully readable (no source gap). Its single equation is garbled, and Boyd's own RTF copy has the same garble, so the fault is in the source [read: research/files/boyd-wayback-subquantum-plenum-peer-reviewed.rtf, via mathematician.md]. Boyd is an interested party: he wrote the essay, and his CV claims are his own description of himself and have not been checked [web: sites.md]. In full they are: Project Greenglow 1999-2005, the Sarfatti group 1998-2001, a plasma design tested at Los Alamos, NASA laser ranging, and membership of Gariaev's staff from 2004 (arbiter.md, QE revision). Since 2016 the essay has also been hosted at noosphere.princeton.edu, the Global Consciousness Project's site [web: sites.md]. That is hosting context, not an endorsement.

1. The idea in one paragraph

Boyd argues that space is filled with a real "aether": a gas of extremely light, extremely fast particles, smaller than anything quantum mechanics describes (hence "subquantum"). He traces it to a genuine 1904 proposal by the chemist Dmitri Mendeleev for an ether gas lighter than hydrogen, and to Nikola Tesla's high-voltage discharge experiments as retold by the popular author Gerry Vassilatos. In his picture, gravity is the push of this gas (an old idea of Le Sage and Laplace), light bends near the Sun because the gas is denser there and refracts it, and sharp positive electrical discharges can push the gas outward and cancel gravity locally (a 1920 demonstration by Piggott). The same particles, moving faster than light, carry the "information" behind quantum non-locality and can be steered by human attention and intention. He also says a Nobel-winning trapped-electron experiment disproves Heisenberg's uncertainty principle, that a variant of the Klein-Gordon equation allows any particle mass, and that Planck's constant has been found to vary. The essay is mostly a chain of citations. It offers almost no derivation and no new data.

2. What you need to know first

Kinetic theory of gases. A gas is many particles moving at random. Temperature measures their average kinetic energy: (1/2) m = (3/2) k_B T, where m is a particle's mass, the mean squared speed, k_B = 1.38e-23 J/K Boltzmann's constant and T the absolute temperature. Pressure is the momentum the particles deliver to a wall per second per unit area. So if you know a particle's mass and speed, you know the gas's temperature. Read: Schroeder, An Introduction to Thermal Physics, ch. 1; or Halliday, Resnick and Walker, Fundamentals of Physics, the kinetic theory chapter.

Momentum flux and radiation pressure. A stream of particles that is absorbed by a surface pushes on it with force F = dp/dt, the momentum it brings in per second. It also brings in energy. For light, the energy rate is P = F c. For slow massive particles of speed u, it is P = F u / 2, because the kinetic energy is (1/2) m u^2 = p u / 2. Absorbed energy becomes heat. That one fact settles the push-gravity question below. Note that light has no mass but still carries momentum. An electromagnetic wave of energy E carries momentum p = E/c. More generally, the field momentum in a volume is P = ∫ S/c² dV, where S = E × B/μ₀ is the Poynting vector (energy flow per unit area per second). This answers the essay's question of what can convey such momentum "if not a particle with the attribute of mass". A massless field can (arbiter: the essay's argument is Refuted by calculation). Read: Griffiths, Introduction to Electrodynamics, the section on momentum in electromagnetic fields; Feynman, Lectures on Physics Vol. I, ch. 7 (which discusses Le Sage gravity directly) [memory, high].

Newtonian gravity and orbits. F = G M m / r^2, where G = 6.674e-11 N m^2/kg^2, M and m are the two masses and r is the distance between them. Earth orbits the Sun at v = 29.8 km/s, so its momentum is p = M_E v ≈ 1.8e29 kg m/s. Anything that drags on Earth with force D stops it in a time of about p / D. Read: Taylor, Classical Mechanics, ch. 8; Kleppner and Kleppner, An Introduction to Mechanics.

Refraction and ray optics. In a medium with refractive index n, light travels at c/n. If n changes from place to place, rays curve toward higher n. For a weak gradient, the total bend of a ray equals the integral, along the ray, of the gradient of n perpendicular to the ray. Read: Hecht, Optics, chapters on propagation of light and geometrical optics.

Special relativity and the Michelson-Morley experiment. In 1887 Michelson and Morley split a light beam, sent the two halves along perpendicular arms and recombined them. A wind of aether past the Earth would have shifted the interference fringes as the apparatus was turned. They found far less shift than expected. Einstein's 1905 theory took the speed of light to be the same for all observers moving at constant velocity, which removes any detectable "rest frame" of an aether. Read: Taylor and Wheeler, Spacetime Physics, ch. 1-3; Griffiths, Introduction to Electrodynamics, the chapter on electrodynamics and relativity.

The uncertainty principle. In quantum mechanics a particle is described by a wave. A wave squeezed into a small region of space (small Δx, the spread in position) must contain many wavelengths, hence a large spread in momentum (Δp). The exact bound is Δx Δp ≥ ħ/2, where ħ = h/2π = 1.055e-34 J s. This is a property of waves (Fourier analysis), not a statement about clumsy instruments. Read: Griffiths, Introduction to Quantum Mechanics, ch. 1-3; Eisberg and Resnick, Quantum Physics.

Hidden variables, Bohm and Bell (plain language). David Bohm showed in 1952 that the predictions of quantum mechanics can be reproduced by real particles with definite positions, guided by a "pilot wave". The guiding is non-local: what happens here can depend at once on what is done far away. John Bell later proved that no local hidden-variable theory can match quantum mechanics, and experiments since the 1970s (loophole-free since 2015) agree with quantum mechanics [memory, high]. So non-local hidden variables (Bohm's kind) remain a respectable option. Local ones are ruled out. Read: Bell, Speakable and Unspeakable in Quantum Mechanics; Albert, Quantum Mechanics and Experience (non-technical).

The Klein-Gordon equation. The relativistic relation E^2 = p^2 c^2 + m^2 c^4, turned into a wave equation by replacing E and p with derivatives. In natural units (ħ = c = 1) it reads □φ + m^2 φ = 0, where φ is the wave and □ (the "d'Alembertian") is ∂²/∂t² − ∇² (one common sign convention). Read: Griffiths, Introduction to Elementary Particles, the chapter on quantum electrodynamics (start of the section on relativistic wave equations).

3. The textbook view

Gravity. For weak fields Newton's law F = G M m / r^2 holds. General relativity (GR) refines it: masses curve spacetime, and GR predicts further effects, each measured. Starlight grazing the Sun bends by α = 4GM/(b c^2), where b is the ray's closest distance to the Sun's centre. At the limb this is 1.75 arcseconds, confirmed by eclipse observations since 1919 and by radio interferometry to about 1 part in 10^4 [memory, medium]. Mercury's orbit precesses an extra 43 arcseconds per century. Clocks run slower lower in a gravity field (GPS corrects for this). Radar echoes passing the Sun are delayed (the Shapiro delay). Binary pulsars lose energy as gravitational waves, and LIGO detects such waves directly [memory, high].

No measurable aether wind. Modern versions of Michelson-Morley use optical resonators and limit any direction dependence of the speed of light to about 1 part in 10^17 [web: Eisele, Nevsky, Schiller 2009, cited by physicist.md]. The mainstream view, stated fairly, is narrower than "there is no medium". Special relativity rules out a medium whose rest frame can be detected. A Lorentz-type aether theory that is empirically identical to special relativity is not excluded, but it predicts nothing different (physicist.md, contrarian.md).

Uncertainty. Δx Δp ≥ ħ/2 for any quantum state. A trapped particle is not "frozen". In its lowest state it still has a spread in position, Δx = sqrt(ħ/(2mω)), and in momentum, Δp = sqrt(ħmω/2), where ω is the trap's angular frequency. Their product is exactly ħ/2.

Constants. Only dimensionless combinations of constants can be measured as varying. An example is the fine-structure constant α = e^2/(4πε_0 ħ c) ≈ 1/137. If α changed, no experiment alone could say whether e, ħ or c was the one that moved.

4. Where the inventor departs

Topic Textbook Boyd's essay Where it parts company
The medium No detectable rest frame; vacuum fields exist (zero-point field) but are not a classical gas A gas of particles 1e-8 the mass of hydrogen at 2.5e6 m/s, also "superluminal" and of "infinitely small mass" [read] Gives no density, no coupling to matter, and two speeds that contradict each other (see §5 Part A)
Gravity GR curvature; Newton in the weak field Le Sage / Laplace push of the gas; "the same results as General Relativity using only 3-D geometry" [read] Asserted with no derivation. The classical heat-and-drag objection is not addressed
Light bending 4GM/(bc^2) from curvature Refraction in a gas whose density rises toward the Sun [read] The arithmetic can be matched (n − 1 = 4.2e-6 at the limb) but no profile is given. An ordinary gas would bend different colours by different amounts, and the measured bending does not depend on colour
Gravity shielding None known Positive discharges "exceeding 500,000 statvolts" neutralise gravity; Piggott 1920 [read] Piggott's own account says about 500,000 volts (the essay is out by a factor of about 300). No weight was ever measured
Aether drift Null to 1e-17 Michelson-Morley records show 3000 m/s variations; Miller, Kehr, Silvertooth found drift [read] The 3000 m/s figure has no source and is not the quantity the instrument measures
Uncertainty Δx Δp ≥ ħ/2 Dehmelt's trapped electron has known position and "momentum equal to its rest mass" [read] Momentum (kg m/s) cannot equal mass (kg). The trapped electron oscillates
EM waves in vacuum Maxwell's equations in empty space give only transverse waves, at speed c. Fields with no mass still carry momentum, p = E/c Longitudinal vacuum waves with "virtually infinite" bandwidth and superluminal communication (Boerner, citing Barrett, Evans, Lehnert) [read]. Field momentum must be carried by "a particle with the attribute of mass" [read] The theories cited are published extensions of electromagnetism, but any longitudinal mode in them has a finite speed. The step to "superluminal" is Boerner's own inference. Momentum without mass is standard (§2)
Quanta The Fractional Quantum Hall Effect (FQHE) shows quasiparticles with fractional charge, such as e/3 The FQHE "proved experimentally that quanta can be subdivided, perhaps infinitely" [read] The fractional charge belongs to a collective state of many electrons. It does not divide the electron or an energy quantum
Wave equation Klein-Gordon with mass m i ∂θ/∂r = □θ, θ = e^{−iKr}λ(x), "K = m0^2", any K gives any mass [read] Correct algebra, but mass is already a free parameter in Klein-Gordon. Nothing new follows

The following points from the source record belong next to this table, because the essay misreports its own sources or leaves them out:

  • Mendeleev is real. In 1904 Mendeleev did propose an inert ether gas "x" in the zero group, lighter than hydrogen. He estimated its mass at about 1e-6 of hydrogen's, with bounds 9.6e-7 to 5.3e-11, and its speed at about 2,250 km/s, using an escape-velocity argument. He also wrote that in 1869 he "dared not put forward such a proposal" [web: archive.org/details/cu31924012371096]. The essay's "1869", "1e-8" and "2,500,000 m/s" are not Mendeleev's figures. Arbiter verdict on Mendeleev's proposal: Historically superseded but instructive.
  • Piggott is real. Piggott's 1920 article in Electrical Experimenter, as transcribed on rexresearch, is more careful than the essay. It describes a Wimshurst machine pressurised to 3 atm in dried air and silver balls 11 mm across, given as 1.3 g. The objects oscillated, then settled about 25 cm from the field centre, with a dark belt and a bluish aura of "darting particles". The ground connection "can be entirely eliminated", and the objects hovered about 1.25 s after the machine stopped. His 1911 patent gives Chicago, not France [web: rexresearch.com/piggott/piggott.htm; transcription only, the original scan (worldradiohistory EE-1920-07.pdf) is unread]. One mismatch is open: a solid 11 mm silver ball weighs 7.3 g, not 1.3 g [calc, arbiter]. The transcription gives 1.3 g twice, in the body ("1-3/10 gram (nearly 0.05 oz.)") and in the Fig. 1 caption [read: research/files/rexresearch-piggott-electro-gravitation-1920.htm]. So a copying slip is less likely than hollow balls or a different size. Only the scan can settle it. The article was later reprinted in R. A. Ford's book Homemade Lightning (McGraw-Hill) [read: research/2026-10-04-rexresearch-piggott.md].
  • Where "statvolts" came from. The rexresearch copy of Vassilatos says "500,000 electrostatic volts" [read, per qe.md]. The essay's "statvolts" most likely comes from reading that phrase as the CGS (centimetre-gram-second) unit. One statvolt is about 300 V, so the factor-of-300 slip is in the essay's (or a retelling's) wording, not in Piggott's. Boyd is also inconsistent with himself: his 2006 "LaPlacian Gravitation" page gives "exceeding 400,000 statvolts" for the threshold and 500,000 statvolts for Piggott [read: research/files/boyd-wayback-laplacian-*.htm].
  • Dehmelt used a Penning trap, not a Paul trap, and stored his electron for 10 months. His Nobel lecture makes no claim against the uncertainty principle [read: research/files/dehmelt-1989-nobel-lecture.pdf]. Boyd's own 2001 web page says that for the electron "the Uncertainty Relation holds" [read: research/files/boyd-wayback-heisenburg-refute.htm]. The essay says the opposite. A likely source of the "Paul trap" error: the same lecture shows a barium ion, "Astrid", held in a Paul trap (Fig. 5) [read: QE spot check 3]. That is a plausible explanation, not a proven one.
  • Ref 26 is not PEAR. The essay presents its ref 26 as the Princeton Engineering Anomalies Research (PEAR) programme. In fact it is Haisch, Rueda and Dobyns (2001), a paper on zero-point-field inertia (arbiter.md). PEAR itself was real (see §6, row 6d).
  • The Gelinas/Honeywell patent. The essay cites US 4,432,098, part of a Honeywell patent family on signalling with the electromagnetic vector potential. This is the assignee's own description of its invention, and it is a company with a commercial stake. The patent assumes a finite propagation speed, so it does not support superluminal signalling [web: Google Patents, via arbiter.md].
  • Correa's aetherometry is related work on "massfree" radiation from Tesla-type coils. Correa is an interested party, and no independent test was found (arbiter.md, claim 3B).
  • Sources the essay names that the reviews did not examine. Stubblefield and T. T. Brown (said to have drawn power "forever", alongside Tesla), DePalma 1991 at the IECEC (Intersociety Energy Conversion Engineering Conference), Kanjen and Poponin (wave-genome "media memory"), and Crookes 1892 naming Tesla discoverer of a "new kind of electrical force" [read]. They are the essay's retellings, kept in the record. No device data is given for any of them.

5. Worked example: can the essay's gas push the Earth around the Sun?

The essay's central physical picture is push gravity. This section takes the essay's own numbers and checks them with kinetic theory and momentum bookkeeping. Every number below is printed by example.py.

Run: .venv/bin/python review/zzz-Unknown/example.py

The real physics the idea rests on (be fair first). Le Sage's idea (Geneva, 18th century) is clever. Suppose space is crossed in every direction by fast tiny particles, and matter absorbs a few of them. A lone body is pushed equally from all sides, so it feels no net force. Two bodies shade each other: each blocks some of the flux that would have reached the other, so both are pushed together. The shaded fraction falls off as 1/r^2 (a solid-angle effect), and if matter is mostly transparent the force is proportional to mass. An inverse-square law that grows with mass is exactly Newton's law, which is why the idea has been revived many times [memory, high; Feynman Lectures I ch. 7].

Part A. What gas is it? (kinetic temperature)

(1/2) m v^2 = (3/2) k_B T gives T = m v^2 / (3 k_B).

  • Essay: m = 1e-8 × 1.6735e-27 kg = 1.67e-35 kg, v = 2.5e6 m/s. T = (1.67e-35)(6.25e12) / (3 × 1.38e-23) = 2.5 K [calc].
  • Mendeleev's own pair: m = 1e-6 m_H, v = 2.25e6 m/s gives 204 K, an ordinary temperature [calc].
  • At room temperature (300 K) the essay's particle would move at 2.7e7 m/s [calc].

So Mendeleev's numbers hang together, but the essay's mixed pair describes a gas near absolute zero. That does not fit its own picture of a gas from "violent bombardments internal to stars". More important for what follows: 2.5e6 m/s is less than 1% of the speed of light. Later the essay needs the same gas to be "superluminal".

Part B. What works: light bending as refraction

Take n(r) = 1 + 2GM/(r c^2). A ray at impact parameter b runs along x, with r = sqrt(x^2 + b^2). The bend is

α = ∫ |∂n/∂b| dx = ∫ 2GM b / (c^2 (x^2 + b^2)^{3/2}) dx over all x = 4GM/(b c^2) (SymPy does the integral).

At the solar limb (b = R_sun = 6.957e8 m) this is 8.49e-6 rad = 1.75 arcsec, exactly GR's value, with n − 1 = 4.2e-6 at the limb [calc]. So the essay's refraction idea is not absurd. It is a known effective description of weak-field gravity, used by Eddington and later in Dicke's 1957 and Puthoff's "polarizable vacuum" models [memory, medium; mathematician.md]. What the essay lacks is any reason why a gas would have exactly this 1/r profile, and any account of why the bending is the same for radio and optical light, which ordinary gas refraction is not. Arbiter verdict: Plausible, untested.

Part C. Drag: a moving body meets more flux head-on

Let the flux be isotropic, with speed u and momentum flux I per steradian. Body A has absorbing cross-section σ_A. Body B (the Sun), with cross-section σ_B at distance r, blocks a solid angle σ_B/r^2, so

F_grav = I σ_A σ_B / r^2.

Now let A move at speed v. Particles from angle θ (measured from the direction of motion) strike at relative speed u + v cos θ. The momentum flux scales as the square of that speed, so it is larger by a factor ≈ 1 + 2(v/u) cos θ. Taking the forward component and integrating over all directions (∫cos²θ dΩ = 4π/3):

F_drag = I σ_A (2v/u)(4π/3), so F_drag / F_grav = (8π/3)(v/u)(r^2/σ_B).

The reviewers used the rough estimate F_drag ≈ F_grav v/u. The extra factor (8π/3) r^2/σ_B is large, because the Sun's shadow covers a tiny part of Earth's sky while drag acts on all of Earth's absorption. Take the case most favourable to the theory: the Sun absorbs over its whole disc, σ_B = π R_sun^2. Then the factor is 1.2e5 [calc]. (A real Le Sage body must be mostly transparent, which makes σ_B smaller and the drag larger.)

Earth: F_grav = G M_sun M_E / r^2 = 3.54e22 N, v = 2.98e4 m/s, momentum p = 1.78e29 kg m/s. Stopping time t = p / F_drag:

Flux speed u Rough drag F v/u Time to stop With geometric factor Time to stop
Essay, 2.5e6 m/s 4.2e20 N 13 years 5.2e25 N about 1 hour
Laplace-type, 7e6 c 5.0e11 N 1.1e10 years 6.2e16 N 9e4 years

For Earth's orbit to survive 4.5e9 years with the geometric factor, u must exceed about 3.5e11 c [calc]. Poincaré made a similar estimate in 1908 and reached a bound of order 1e17 c or more [memory, medium; the exact figure is not checked]. The reviewers' rough figures (13 years and 1.1e10 years) are the first column. The arbiter's QE revision accepts the geometric factor, the stopping times and the 3.5e11 c bound as tighter estimates. The fuller geometric estimate only strengthens the arbiter's conclusion: a gas at the essay's speed is excluded by the planets still orbiting.

Part D. Heat: absorbed momentum brings energy

So make u enormous, as Laplace did. Now the other side of the trade bites. To feel a force F, a body must absorb momentum at rate F, and with it kinetic energy at rate P = F u/2 (light-like particles: P = F c). Per kilogram at Earth's surface, F = g = 9.81 N:

  • u = 2.5e6 m/s: P = 1.2e7 W per kg [calc].
  • u = 7e6 c = 2.1e15 m/s: P = 1.0e16 W per kg [calc]. For the whole Earth, taking F = M_E g as a crude scale, this is 6e40 W. (The arbiter's first table gave 1.2e41 W using P = F u; its QE revision corrects this to 6e40 W with the factor of 1/2.)
  • u = 3.5e11 c, the speed Part C needs for orbits to survive: P = 5e20 W per kg [calc].

For comparison, all the sunlight Earth intercepts is 1.7e17 W, or 3e-8 W per kg of Earth [calc]. The required heating exceeds it by more than 20 orders of magnitude. If instead the particles bounce off elastically and keep their energy, matter heats nothing, but by symmetry the shadowing no longer gives a net force.

The dilemma. Slow particles give enormous drag. Fast particles give enormous heating. Particles that are not absorbed give no gravity. The essay offers no way out and does not mention the problem. Arbiter verdict for push gravity in the form given: Refuted by calculation, and the sub-light version is also Tested, not supported, because the planets did not slow down. A caveat from the arbiter: this refutes the classical model as the essay describes it. The arbiter did not examine modern variants.

Part E (side check, claim 5). How "frozen" was Dehmelt's electron?

The axial frequency is 60 MHz, so ω = 2π × 6e7 s^-1. Ground state: Δx = sqrt(ħ/(2 m_e ω)) = 0.39 μm, Δp = 1.35e-28 kg m/s (about 148 m/s in velocity), and Δx Δp = 0.50 ħ, exactly the bound [calc]. At the real trap temperature of 4 K the motion is thermal and larger still (about 21 μm; mathematician.md). The essay's step "momentum equal to its rest mass" also fails a units check: kg m/s against kg.

6. Evidence table

Claim Tested? Result Replicated? Verdict (arbiter)
1. Aether gas of light, fast particles (Mendeleev 1904) No direct detection of any gas lighter than hydrogen [memory, medium] Mendeleev's numbers are self-consistent; the essay's are not (2.5 K) n/a Mendeleev: Historically superseded but instructive. Essay version: Not testable as stated
2a. Push (Le Sage) gravity Indirectly: planetary orbits, Earth's heat budget Drag or heat far beyond what is observed (§5) n/a Refuted by calculation; sub-light version also Tested, not supported
2b. Solar light bending as refraction Bending measured, about 1e-4 precision; no gas model to test Arithmetic matches GR; no profile; no dispersion seen Bending: yes, many times Plausible, untested
2c. "Reproduces all of relativity" Nothing computed n/a n/a Not testable as stated
3A. Piggott 1920 levitation as gravity neutralisation Demonstration only; no weight measured Forces from ordinary electrostatics are the right size (0.02-0.06 N vs 0.013-0.072 N weight) [calc, arbiter] No replication on record Never properly tested (as a gravity effect); levitation itself Plausible, untested as electrostatics/ion wind
3B. Tesla coils "conduct aether, not electrons" No measurements given Essay's own 10 kV/inch implies 254 m of winding for 100 MV [calc]. Related work: Correa's aetherometry (interested party, no independent test found) No Not testable as stated
3C. Tesla's geophysics: aether flux makes electrons in the crust, explaining the molten core, Earth's negative charge and lightning rates; regular "incoming aether flux waves" (via Vassilatos) No instrument record; Tesla's own notes not cited Earth's negative surface charge and the thunderstorm-driven global circuit are measured facts; the aether explanation is the essay's No Not testable as stated; the reported regular signals: Never properly tested as an aether effect
4a. Ether drift (Miller, Kehr, Silvertooth) Yes Miller re-analysed by Shankland 1955 (temperature) [web]; Marett 2011-12 reproduced Silvertooth's 12-hour pattern then traced it to laser thermal drift [web]; Sherwin 1989 published a critique of Silvertooth [memory, medium; not read]; resonators null to 1e-17 [web] Marett: one web report, no second replication found Tested, not supported
4d (arbiter's 4b). The gravity "constant" is an average with fast and periodic variations; test by correlating light speed with gravity The essay's correlation was never run Laboratory measurements of G (the gravitational constant) disagree by more than their stated uncertainties, a real open problem; usually put down to unrecognised systematic error [memory, medium; not web-checked] n/a Never properly tested for the essay's mechanism; the G scatter is an open measurement problem, not evidence for the mechanism
4b. "3000 m/s variation in Michelson-Morley records" No source found A real 3 km/s change in c would show about 400 fringes, never seen [calc] n/a Not testable as stated
4c. Michelson-Pease-Pearson 1935 22 km/s gap Historical record "Strange, unexplained cyclic drifts", unresolved [web: otherhand.org] n/a Kept open; not evidence for an aether
5. Uncertainty refuted (electron; photon) Calculation suffices Units error; Δx Δp = ħ/2 for the trap ground state; a 10 fs pulse has at least 8e12 Hz bandwidth [calc] n/a Electron: Refuted by calculation. Photon: Internally inconsistent. Non-local hidden variables generally: Plausible, untested
5b. QED (quantum electrodynamics) virtual photons "clearly violate" energy conservation, so QED is on "shaky ground" Depends on claim 5 The argument assumes uncertainty has been refuted, and that premise failed n/a Inherits claim 5's verdict; no independent support
5c. Tunnelling: the electron dissolves into subquantum carriers and reforms beyond the barrier ("in 1999, we suggested") No Standard quantum mechanics predicts tunnelling rates and delay times, which have been measured; the essay gives no number to compare [memory, high] n/a Not testable as stated
6a. Superluminal subquantum information carriers No Clashes with the essay's own "ħ vanished" (Bohm's quantum potential needs ħ) and with zero mass, which means speed exactly c n/a Not testable as stated
6b. Operator attention changes antenna pattern (1999 "Los Alamos archive" paper, French follow-ups) Key paper not located Unknown Unknown Never properly tested
6c. Gariaev genetic information transfer Reported by Gariaev's own group No neutral test found None found Never properly tested (by a neutral party)
6d. Mind affecting physical systems: PEAR (Princeton Engineering Anomalies Research), which the essay names (its ref 26) beside claim 6b Yes, a real programme that published openly; it closed in 2007 [memory, medium] Very small effects, about 1e-4 in bit probability, reported by PEAR [memory, medium; not web-checked] Independent attempts gave mixed results [memory, medium] Kept in the record as the one item under claim 6 with published data. The arbiter assigns no separate verdict; claim 6b stays Never properly tested
6e. Superluminal carriers supported by Cherenkov radiation, shock waves and Eberhard (1978) Analogy only Cherenkov light comes from a charge moving faster than light in a medium, where light is slower than c. Eberhard's 1978 result is a no-signalling theorem; the essay reads it the other way [memory, medium] n/a Not testable as stated
7a. Klein-Gordon with free K Mathematics Correct algebra; the ordinary Klein-Gordon equation with a separation constant n/a Established (as mathematics; no new content); as a mass prediction Not testable as stated
7b. Planck's constant varies The cited paper (Webb et al. 2001) measured α, not ħ Δα/α = (−0.72 ± 0.18)e-5 [web: arxiv.org/abs/astro-ph/0012539]; later results conflict Disputed between telescopes Not testable as stated. The α-variation question: Plausible, untested as a cause of anything the essay claims; the measurements were made and conflict (open, not suppressed)
7c. FQHE shows quanta "can be subdivided, perhaps infinitely" The FQHE is measured (Tsui, Stormer, Gossard 1982; Laughlin's theory 1983); shot-noise experiments in the late 1990s measured the fractional charge [memory, medium] Fractional charge of collective quasiparticles; any free particle still carries charge e Yes "Subdivided, perhaps infinitely": Not testable as stated. Fractional charge itself: Established, but of collective excitations, so it does not support the essay
8. Longitudinal EM waves in vacuum allow superluminal communication (Boerner, citing Barrett 1990, Evans' O(3) theory, Lehnert 1994) No detection cited; none was searched for Barrett's and Lehnert's are published extensions of electromagnetism; Evans' O(3) theory drew published critiques. A longitudinal mode in them has a finite speed [memory, medium] n/a Existence: Never properly tested (dismissing it on theoretical grounds is not a test). Superluminal communication: Not testable as stated
Field momentum implies a massive carrier Calculation suffices p = E/c follows from Maxwell's equations via the Poynting vector; photons have zero rest mass n/a Refuted by calculation

Absence of evidence: the missing 1999 paper. The essay says a paper "posted on the Los Alamos Archive in 1999, then removed about 2000" showed that operators' attention, intention and emotions changed the radiation pattern of "symplectic" transmitters and "caused a divergence in the quantum potential" [read]. No title, author or number is given, here or in Boyd's 2002 pages. Three Investigator searches found nothing [web: sites.md]. The arbiter sets out five explanations:

  1. The author withdrew it. arXiv normally keeps a withdrawal notice, so this would be expected to leave a trace.
  2. Moderators rejected it before it was listed. This leaves no public record.
  3. It was hosted on another server and remembered as "Los Alamos".
  4. It is misremembered or second-hand.
  5. It was suppressed. No evidence has been found either way.

The record does not favour any one of them. The records that would decide are the arXiv 1999-2000 withdrawal logs, the University of Arizona Quantum-Mind list archives and correspondence of the Sarfatti group. Silence in three searches is not contradiction.

Absence of evidence: Piggott. The record after 1920 is thin: the 1911 patent, the 1920 article, a passing mention, then Vassilatos in the 1990s. Three explanations fit that thinness: obscurity, the effect being ordinary electrostatics, or nobody ever trying a balance test. No evidence of suppression was located (arbiter.md).

7. What a learner should take away

Solid. - Mendeleev really did propose an ether gas lighter than hydrogen, with a reasoned escape-velocity estimate. - Le Sage gravity is a genuinely clever mechanism: shadowing gives an inverse-square law. - Gravity's effect on light can be described as a refractive index n = 1 + 2GM/(rc^2) in the weak field (§5 Part B). - Bohm-type non-local hidden variables are a legitimate, minority interpretation, and Valentini's non-equilibrium version makes in-principle testable predictions. - Piggott's demonstration and the 1935 Irvine Ranch anomalies are real historical records.

Wrong, and why the mistake is instructive. - Push gravity fails a two-sided budget (§5): a mechanism that works for a body at rest must also be checked for a moving body (drag) and for energy (heat). This is the general lesson. Always track energy as well as momentum. - The Dehmelt argument fails a units check (momentum is not mass). The idea "trapped for months" means "known exactly" confuses how long something is held with how precisely it is located. - The photon argument forgets that a wave of exactly one frequency is infinitely long, so its position is completely undetermined. - The 500,000 statvolt figure is a unit slip of a factor of about 300 against Piggott's own volts. It most likely came from reading Vassilatos' "electrostatic volts" as the CGS unit (§4). - "What carries field momentum if not mass?" Massless fields carry momentum, p = E/c (§2). A question that sounds deep can have a textbook answer. - The FQHE argument confuses fractional charge of a collective state with dividing a quantum. - "Planck's constant varies" misreads a paper about α. Only dimensionless constants can be measured as varying. - The essay's mixed numbers (2.5 K gas, "superluminal" yet 2.5e6 m/s, "infinitely small mass" yet faster than light, "ħ vanished" yet carrying Bohm's quantum potential) show what goes wrong when properties are assigned one sentence at a time without a model.

Genuinely open. - Whether any measurable departure from quantum equilibrium (Valentini) exists. - Whether the fine-structure constant varies over cosmic time (published results conflict). - What Piggott's apparatus actually did on a balance: a rebuild with a weighed ball and controls has never been reported. - What the 1999 paper was. - Whether an independent thermal re-analysis of Miller's raw data reproduces Shankland's conclusion. - What Boyd's later papers (with Klein, and with Christianto and Smarandache, 2006-2024) add. No reviewer read them. - Whether a longitudinal vacuum EM mode exists in extended electrodynamics (Barrett, Lehnert) and can be detected. No neutral detection attempt is on record. - Why laboratory values of G disagree beyond their stated errors (most likely systematics, but unresolved). - Related work that no reviewer read, listed in sites.md: T. J. J. See (push gravity), Shoulders' "exotic vacuum objects", Kropp's vector-potential patents, and Gradient Dynamics US 9,306,527. Do any of them supply the numbers the essay lacks?

8. Check yourself

  1. Using T = m v^2/(3k_B), what speed would a particle 1e-6 times the mass of hydrogen have at 300 K? Is that close to Mendeleev's 2,250 km/s?
  2. In Le Sage gravity, why does making the particles faster reduce the orbital drag but increase the heating? Write both scalings in terms of u.
  3. A refractive index n(r) = 1 + ε R/r bends a ray grazing at r = R by 2ε. What ε gives the observed 1.75 arcsec, and why does matching this one number not by itself distinguish a gas from curved spacetime?
  4. The essay says a fixed electron has "momentum equal to its rest mass". Give two independent reasons this sentence cannot be right.
  5. Webb et al. reported Δα/α ≈ −7e-6. Why can that result not by itself show that Planck's constant changed?

9. Further reading

Mainstream. - R. P. Feynman, The Feynman Lectures on Physics, Vol. I, ch. 7 (the theory of gravitation, including Le Sage's idea). - C. M. Will, Was Einstein Right? (non-technical), and Will's Living Reviews article "The Confrontation between General Relativity and Experiment" (livingreviews / arXiv gr-qc/0510072) [memory, high]. - D. J. Griffiths, Introduction to Quantum Mechanics (uncertainty principle, harmonic oscillator). - H. Dehmelt, Nobel lecture 1989 [read: research/files/dehmelt-1989-nobel-lecture.pdf]. - R. S. Shankland et al., "New analysis of the interferometer observations of Dayton C. Miller", Rev. Mod. Phys. 27, 167 (1955) [web]. - J. K. Webb et al., Phys. Rev. Lett. 87, 091301 (2001), arXiv astro-ph/0012539 [web]. - M. R. Edwards (ed.), Pushing Gravity: New Perspectives on Le Sage's Theory of Gravitation (Apeiron, 2002): modern papers for and against [memory, medium]. - D. Bohm and B. J. Hiley, The Undivided Universe (Routledge); A. Valentini, arXiv quant-ph/0203049 (cited by the essay).

The inventor's and the primary sources. - R. N. Boyd, "The 'Subquantum Plenum': A Restoration of Rationality to Physics" (the project document; also on rialian.com as "subquantum-plenum-peer-reviewed.rtf") [read]. - R. N. Boyd, "Refutation of Heisenberg Uncertainty Regarding Monochromatic Photons" (2001) [read: research/files/boyd-wayback-heisenburg-refute.htm]; "LaPlacian Gravitation and Relativity Theory" (2006) [web: sites.md]. - D. Mendeleev, An Attempt Towards a Chemical Conception of the Ether (1904), archive.org/details/cu31924012371096 [web]. - Piggott, Electrical Experimenter, July 1920 (transcription at rexresearch.com/piggott/piggott.htm; scan at worldradiohistory.com EE-1920-07.pdf, unread) [web]. - E. W. Silvertooth, "Experimental Detection of the Ether", Speculations in Science and Technology 10(1), 1986; Marett's replication, conspiracyoflight.com/Silvertooth/Silvertooth.html [web]. - D. C. Miller, Rev. Mod. Phys. 5, 203 (1933). - US 4,432,098 (Gelinas, assigned to Honeywell), vector-potential signalling; read it as the assignee's own description [web: Google Patents]. - B. Haisch, A. Rueda and Y. Dobyns (2001), zero-point-field inertia: the essay's ref 26, which it mislabels as PEAR. - T. W. Barrett (1990) and B. Lehnert (1994) on extended electrodynamics, as cited by Boerner in the essay (not read by any reviewer). - G. Vassilatos, Lost Science (1999) and Secrets of Cold War Technology (2000). These are the essay's source for Tesla and Piggott. The author is popular and his publisher sells the books, so read them as one party's retelling.

Answers

  1. v = sqrt(3 k_B T / m) with m = 1.67e-33 kg: v = sqrt(3 × 1.38e-23 × 300 / 1.67e-33) ≈ 2.7e6 m/s. This is close to Mendeleev's 2.25e6 m/s (his pair corresponds to about 204 K).
  2. Drag scales as F v/u (times a geometric factor), so it falls as 1/u. The absorbed energy per unit momentum is about u/2, so heating scales as F u and rises with u. No single u makes both small: §5 needs u ≳ 3.5e11 c (1.04e20 m/s) for drag, and at that speed each kilogram would absorb about 9.81 × 1.04e20 / 2 ≈ 5e20 W [calc, printed by example.py].
  3. 2ε = 8.49e-6 rad, so ε = n − 1 at the limb = 4.2e-6. Any theory that reproduces this one number matches it. To distinguish them you need a different observable: colour independence (a gas disperses), the Shapiro delay, Mercury's perihelion, gravitational redshift.
  4. (a) Units: momentum is kg m/s and mass is kg, so the two cannot be equal. (b) A fixed object has momentum zero, not mc or mc^2. Also the trapped electron is not fixed: its ground state alone has Δx ≈ 0.39 μm and Δv ≈ 148 m/s.
  5. α = e^2/(4πε_0 ħ c) combines e, ħ and c. A change in α could come from any of them (or from ε_0 conventions). Only the dimensionless ratio is measured.