Gardi-Lori: arbiter's report

Inputs: facts.json, claims.md, physicist.md, mathematician.md, contrarian.md; I re-ran the key numbers myself (Python/NumPy). Source folder (read only): source folder: Gardi-Lori. I did not re-read the PDFs; where I rely on a reviewer's page-image reading I say so.

Source gap (repeated from Step 1; superseded in part by the QE revision at the end of this file)

UPDATE after QE deep reads: the Geometry of Particles paper (all equations, figures), Spacetime pp.5-33, Electric Universe pp.5-13, Planck V2 pp.6-10, CNPS 2018 pp.4-9 and PaperColour pp.5-12 have now been read as page images (files in deep/). The gap below still holds for the companion works not in the folder.

All 16 PDFs have a text layer, but the numbered equations of the Yee-Gardi papers (Electric Universe, Mass and Charge, Geometry of Particles, Geometry of Spacetime) are not in it. Only pages 5-9 and 27-28 of the Spacetime paper were read as images (by the mathematician and contrarian), and the Geometry of Particles paper was only sampled. The companion works are NOT in the folder and were not read by anyone: "The Relationship of the Mole and Charge", "The Relationship of the Fine Structure Constant and Pi", Distinti's and Yee's wave-constant papers, and Gardi's "Calibrating the universe" (Physics Essays 29, 2016). Conclusions on the particle model (claim 6) and the Bohr/Bohr-magneton "derivations" rest on Step 1 summaries and [memory]/reasoning, not on equations read. Nothing here says anything about the companion works.

Verdict scale conventions used (to keep claims consistent)

• "Refuted by calculation" is used only when a numerical statement is contradicted by accepted values or arithmetic I can show. A circular "derivation" (output = input rearranged) is NOT scored as refuted physics: it carries zero evidential weight, and I score the underlying physical content separately (usually "Not testable as stated" or "Never properly tested").
• "Tested, not supported" is used only where independent experiments exist that bear on the claim's consequences; I say each time if those experiments were not run against her proposal.
• The contrarian's three-way distinction is kept visible in every claim: TESTED (failed) / NEVER TESTED / DISMISSED WITHOUT TESTING. Nothing here was dismissed without testing in a way I can document: the work is mostly ignored, not suppressed, and I found no source for any blocked funding or publication. This is absence of evidence, not proof (the author's history of rejections is unknown to me).

Numbers recomputed (my own run)

Not re-run by me: the Avogadro "derivation" a0/(2 l_P e) = 6.02236e23 (mathematician, off by 3.7e-5), the Mandelbrot c = -0.1 iterations (mathematician, trivially checkable: fixed point attracting, multiplier 0.18).

Web checks (arbiter, budget about 8; search tool was exhausted, so fetches only)

• [web] https://physics.nist.gov/cgi-bin/cuu/Value?ae: a_e = 1.159 652 180 46(18)e-3, relative uncertainty 1.6e-10. Upgrades the g-2 value from [memory, high] to [web]. This is the number the claim 3 verdict depends on.
• [web] https://arxiv.org/abs/1906.11238 (EHT M87*): "an asymmetric bright emission ring with a diameter of 42+/-3 micro-as, which is circular ... consistent with ... the shadow of a Kerr black hole"; asymmetry explained by relativistic beaming. Upgrades the contrarian's [web] and the physicist's secondary-source (Wikipedia) check. Note the physicist's "690 AU" came from a secondary source; I do not rely on it.
• [web] https://arxiv.org/abs/1602.04180 (INTEGRAL): upper limits 2e-8 to 1e-6 erg/cm^2 (75 keV-2 MeV), E_gamma/E_GW < 1e-6. Resolves the mathematician's still-[memory] INTEGRAL item.
• Already [web] from the reviewers, which I accept without re-fetching: Fermi GBM 2.9 sigma transient, 0.4 s after GW150914, false-alarm probability 0.0022, no other instrument (arxiv.org/abs/1602.03920); GW170817: GRB 170817A at +1.74 s, speed of gravity vs light between -3e-15 and +7e-16 (arxiv.org/abs/1710.05834); NIST mu0 not exactly 4 pi e-7.
• Checks I tried and FAILED (search budget exhausted; two guessed arXiv numbers were unrelated papers, discarded): (i) whether later LIGO-Virgo events lacked gamma-ray counterparts; (ii) modern optical-resonator Lorentz-invariance precision (about 1e-17). These stay [memory]: (i) medium, (ii) medium-high. See claim 5 for how this limits the verdict.
• Unchecked [memory] not needed for any verdict: KATRIN neutrino bound, Williams-Faller-Hill, Fermi LIV (the mathematician did check GRB 090510 at arxiv.org/abs/0908.1832).

Disagreements and how I resolved them (summary)

1. Claim 3, alpha: the physicist did not examine the alpha closed form and claims.md said every case is an identity. The mathematician and contrarian both found, and I confirmed, that it is a numerological near-miss, not an identity. Settled in favour of them.
2. Claim 3, G/Compton/electron mass: all three agree these are identities. The physicist and mathematician scored them "Refuted by calculation" or "Internally inconsistent"; I score the logical status (circular, no evidence) separately from the physics (see scale conventions).
3. Claim 5, P/S waves: mathematician "Refuted by calculation", physicist and contrarian "Tested, not supported". The distance-scaling argument assumes the 0.4 s is propagation delay in one medium; GW170817's 1.74 s is dominated by source physics, so the scaling check cannot cleanly refute. I choose "Tested, not supported" (weakly, see below).
4. Claim 1 granule "inside its own horizon": only the mathematician raised it. I confirmed the arithmetic; I keep it as a flag, not a verdict, because it uses GR at Planck scale.
5. Claim 6 neutrino: the physicist called "sub-eV neutrino cannot make a 0.511 MeV electron" refuted "in a weak sense". That is not a calculation without a mechanism; rejected, kept as "no mechanism given".
6. Claim 4 reflector force: the physicist calls P/c (vs 2P/c) an internal inconsistency; the contrarian says the example agrees by construction. Whether it is an error depends on whether the example's mirror is perfectly reflecting, which only the PDF (not re-read by me) can show: left open.
7. Contrarian vs the other two on "Not testable" vs "Tested": I accept the contrarian's point that Lorentz-type ether theories are not excluded by Michelson-Morley; but they also add no content, which is why they land at "Not testable as stated".

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Claim 1. Light and forces propagate in a physical medium (e+e- lattice; later Planck granules)

• Agree (all three): the derivation sqrt(A/(B+C)) returns c for any pair mass, since A = 2 m_e c^2 and B+C = 2 m_e. 1.022 MeV is the annihilation energy, not a binding energy. "Michelson-Morley is circular" is wrong: it compares round-trip light speeds in different orientations, which a medium frame would change. The NaCl calibration is a dimensional coincidence.
• Disagree: how to score. Physicist: superseded / internally inconsistent / not testable. Mathematician: detectable preferred frame "Tested, not supported"; undetectable ether "Not testable"; granule "Internally inconsistent". Contrarian: stresses Lorentz-ether equivalence.
• Stronger argument: the mathematician plus contrarian, because they split by what the claim actually asserts. A medium with a detectable frame has been tested by many independent labs (Michelson-Morley 1887 and descendants; precision about 1e-17 is [memory, medium; web check failed]). A medium built to be undetectable is untestable. The e+e- version adds a falsifiable consequence (density 1.3e5 kg/m^3 if spaced at the Compton wavelength, plus gamma-gamma scattering and dispersion) that the paper never confronts: that is reasoning from accepted physics, not a test.
• TESTED vs NEVER TESTED: detectable-frame aether: TESTED, failed (by others). Gardi's specific lattice: NEVER TESTED (no quantitative prediction to test). Not dismissed without testing: it has simply made no testable statement.
• Final verdict (split): (a) the "pair medium gives c" derivation: no evidential content (E = mc^2 restated), medium itself Not testable as stated; (b) detectable preferred-frame aether: Tested, not supported; (c) Lorentz-ether (undetectable) form: Historically superseded but instructive; (d) "MM is circular" argument: wrong by logic.
• What would settle it: a prediction of a number not fed in, e.g. dispersion or birefringence of the vacuum from the stated lattice, compared with the Fermi GRB 090510 limit [web https://arxiv.org/abs/0908.1832], which a Planck-scale lattice must already meet.

Claim 2. Charge is a length; mass is standing-wave energy; Coulomb, electron mass, gravity are geometries of waves

• Agree: re-dimensioning charge is a legitimate convention (Gaussian units already give charge mechanical dimensions [memory, high]); m_e = mu0 e^2/(4 pi r_e) and k = mu0 c^2/(4 pi) hold by the definition of r_e and by SI identities; no number differs from standard electrodynamics. The mathematician adds cross-paper inconsistency of charge-as-length (2019 papers vs 2023 OM paper), which I take from the mathematician only.
• Disagree: contrarian counts the physical content as "Never properly tested", the others as "Not testable". Those differ only in whether a test could be imagined.
• Stronger: the contrarian: nothing was dismissed after a failed test; the claim also was never put in a form that could be tested, because it predicts no divergence from Coulomb's law. Both labels are therefore correct at different levels.
• Final verdict (split): charge-as-length unit relabelling: Not testable as stated; the "derivations" of Coulomb's law and m_e: definitions rearranged (no evidence); the wave-geometry physics: Never properly tested (no quantitative prediction, not dismissed by any test); cross-paper charge treatment: Internally inconsistent [mathematician only; not re-verified].
• What would settle it: one charge-related number the model predicts and the standard one does not (e.g. a deviation from 1/r^2 at some scale), computed in advance.

Claim 3. "Derived" constants show the model reproduces measurements

• Agree: G, Compton wavelength, Bohr radius, k, h are identities of the inputs (l_P c^2/m_P = G exactly; r_e already contains alpha and m_e, so electron quantities are inputs). The eq. 5.8.1 factor alpha l_P^2/r_e^2 = 2.4006e-43 is the known electron gravity-to-Coulomb ratio, so it is postulated, not derived (mathematician; arithmetic checked by me as an identity of the Planck definitions).
• Disagree: Step 1/claims.md and the physicist said all are identities. The mathematician and contrarian found two non-identity numeric claims, and I confirmed both: alpha = 1/(4 pi^3+pi^2+pi) misses by 2.2e-6 (about 13,900 standard uncertainties); a_e = alpha/(2 pi) is the one-loop Schwinger term, 0.152% off (about 9e6 uncertainties). Stronger: the contrarian and mathematician.
• Fairness: these are falsifiable exact-number claims, and they fail. Wyler-type closed forms for 1/alpha have a long history of near-misses [memory, medium]. With about five free geometric choices (l = pi r_e by hand, equal radii, three terms) a six-digit hit is not surprising (mathematician).
• TESTED vs NEVER TESTED: the numerical claims were tested against CODATA (by anyone who compares them; no experiment needed): failed. Identities: no test possible (no independent output).
• Final verdict (split): alpha closed form: Refuted by calculation; a_m = alpha/(2 pi) as "the anomalous moment": Refuted by calculation (as a value of the measured quantity; fine as the QED leading term); G, k, Compton, h, electron-mass "derivations": circular, no evidential value (not independent derivations); Avogadro as a ratio of lengths: Not testable as stated (unit-dependent, 3.7e-5 miss, mathematician's number).
• What would settle it: one output not already an input, predicted before comparison to 9+ digits (alpha) or a new quantity.

Claim 4. h is the energy of one cycle; photon energy a one-second accumulation; MUA removes quantum uncertainty

• Agree: treating "cycle" as a base unit is a bookkeeping choice (the radian/cycle 2 pi confusion is real metrology [memory, high]); the laser example gives P/c by algebra (A F_s = (P/hf)(hf/c)), so it cannot discriminate; "uncertainty vanishes" does not follow (the uncertainty relation comes from non-commuting observables, not detector step size).
• Disagree: strength of the physics verdict. Physicist/contrarian: "Tested, not supported" (photoelectric effect, single-photon counting, Compton, Bell tests). Mathematician additionally "Refuted by calculation" for the minimum-temperature and uncertainty claims (h/k_B = 4.8e-11 K vs a measured 38 pK [web https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.127.100401 via the mathematician]; I did not refetch; my own arithmetic: 6.626e-34/1.381e-23 = 4.80e-11 K, so 38 pK is below it).
• Stronger: mathematician for the temperature/uncertainty sub-claims; physicist and contrarian for the per-cycle energy. A per-cycle energy of h is exactly right only for a beam carrying one photon per second; for other beams P/f differs.
• TESTED vs NEVER: E = hf per quantum has been tested for over a century by others; her per-cycle reading was never tested by her or anyone as such, and none of those experiments were run against it. Not dismissed without testing, because it predicts no distinct outcome.
• Final verdict (split): "cycle" base unit as notation: Not testable as stated; constant energy per cycle for all light and photon as arbitrary accumulation: Tested, not supported (indirectly); removal of uncertainty and a minimum energy/temperature h/k_B: Refuted by calculation; the quadrature E/B correction to Maxwell: Refuted by calculation (zero average Poynting flux, mathematician) [not re-verified by me]; laser force example: agrees with standard by construction.
• What would settle it: single-photon counting of one source at two pulse durations. Her model has energy scale with the number of cycles; quantum optics says one photon is hf regardless.

Claim 5. MM does not exclude an aether; GW150914 + Fermi transient = aether P-wave then S-wave; future LIGO events should show the follow-up

• Agree: the paper's own wording is conditional ("if all future gravitational waves are followed by gamma rays the aether idea should be revisited"), not a flat prediction (contrarian and mathematician; claims.md wording corrected). The seismic analogy is a visual resemblance, with no waveform fit. LIGO's signal is fitted by GR templates [memory, high]. The Fermi transient was 2.9 sigma, FAP 0.0022, seen by no other instrument [web arxiv.org/abs/1602.03920], and INTEGRAL's limits were E_gamma/E_GW < 1e-6 [web arxiv.org/abs/1602.04180].
• Disagree: mathematician says "Refuted by calculation" via distance scaling (9.75e-18 fractional difference; scaled to GW170817 gives 0.040 s vs the observed 1.74 s). Physicist and contrarian: "Tested, not supported". I side with the latter: the scaling argument is sound only if the lag is propagation, but 1.74 s for GW170817 has an astrophysical emission delay component, so the numbers cannot cleanly refute. The fractional difference 1e-17 is also not a P/S ratio (seismic P/S about 1.7).
• Remaining gap: that later binary-black-hole events lacked gamma counterparts is [memory, medium]; my check failed. The contrarian explicitly says not to repeat it without a source. I therefore do not rest the verdict on it; the verdict stands on the marginal premise and the lack of any quantitative model.
• TESTED vs NEVER: MM isotropy: TESTED by many independent labs. P/S interpretation: NEVER properly tested as an interpretation (no model waveform or elastic constants to test); the single event pair is a 2.9 sigma coincidence. Longitudinal gravitational polarisation: no neutral targeted search in her sense known to me. Not dismissed without testing: the Fermi/INTEGRAL data are public.
• Final verdict (split): "MM circularity" argument: Tested, not supported; undetectable Lorentz-ether remains untouched (Not testable as stated); GW150914 as P/S aether waves: Tested, not supported (weakly: premise is marginal and the model has no numbers); "all LIGO events show gamma follow-up": Never properly tested by the author, contradicted by GW170817 scaling only under assumptions, and by the lack of confirmed counterparts in most BBH events [memory, medium, unverified].
• What would settle it: the lag between gravitational wave and any gamma signal across many events, as a function of distance. A medium predicts lag proportional to distance with the same sign.

Claim 6. Particles are standing-wave clusters of Planck wave centres; neutrino fundamental; Mandelbrot set models black holes

• Agree: no mass, lifetime or branching ratio is computed from the geometry (as far as the Step 1 sampling and the reviewers' sampling go); the magic numbers K = 8, 20, 28, 50 are a numerology coincidence with nuclear shell numbers (not about leptons); the author calls the Mandelbrot work "circumstantial and highly speculative" [read, via Step 1]. A real caveat: nobody read the Geometry of Particles equations (images), so "no calculation of outputs" is partly absence of evidence.
• Disagree: physicist labels the neutrino-fundamental part "Refuted by calculation (weak sense)". Rejected: a sub-eV object cannot trivially build a 0.511 MeV electron, but without the paper's mechanism that is a missing mechanism, not a calculation. Mathematician: "Mandelbrot premises Refuted by calculation" (periodic orbits are not floating-point artefacts: z -> z^2 + c with c = -0.1 converges to an attracting fixed point of multiplier 0.18). Contrarian and physicist: EHT ring tests the pear-shape claim.
• Stronger: the mathematician on the Mandelbrot premise (a mathematical fact); the contrarian on the EHT point, now backed by [web arxiv.org/abs/1906.11238]: the M87* ring is asymmetric in brightness but circular in shape. The prediction was loose (hand-aligned overlay), and the EHT was not designed to test it.
• TESTED vs NEVER: particle model: NEVER tested (no quantitative output). Pear-shaped ring: partly tested by others' data, not supported, with the loose-prediction caveat. Mandelbrot premise about periodic orbits: refuted by arithmetic.
• Final verdict (split): particle-cluster model with neutrino fundamental: Never properly tested (no quantitative output; conflicts with the Standard Model's quark structure and measured lepton lifetimes cannot be assessed without equations); magic-number match: Not testable as stated (numerology); Mandelbrot-set black-hole analogy: Not testable as stated, with the false premise about floating-point orbits Refuted by calculation; pear-shaped photon ring: Tested, not supported (EHT ring circular), weak because the prediction was never quantitative. This rests partly on [memory]/Step 1 for the particle paper.
• What would settle it: from the particle model, one computed lepton mass ratio or the tau lifetime. For the black hole: a quantitative ring-shape prediction compared with EHT visibilities.

Claim 7. Charge obsolete / electrigen; E and H duality (Steinmetz); free space as LC circuit, Z0/(2 pi)

• Agree: Steinmetz's L-C duality is standard circuit theory and correct. Maxwell's equations are dual only in source-free regions; "exact" duality fails because of no magnetic monopoles (div B = 0). The Z0/(2 pi) choice only moves a 2 pi; measured E/H of a plane wave stays 376.73 ohm. Electrigen paper has no equations or numbers.
• Disagree: the mathematician scores Z0/(2 pi) "Internally inconsistent" because the same author gives Z0/(4 pi) in the 2023 OM paper (I recomputed: 59.958 vs 29.979), and omega^2 = 1/LC holds for every omega in her definitions (identity, per the mathematician). The physicist and contrarian say "Not testable as stated". Stronger: the mathematician: both labels apply, convention and internal inconsistency across papers. The mathematician also notes "h/c" in the LC paper is hbar/c (h/c = 2.2102e-42; I did not recompute).
• TESTED vs NEVER: carrier identity in metals (Tolman-Stewart 1916, Hall effect, shot noise) has been tested by others, not against electrigen. Electrigen itself: NEVER tested (no experiment proposed). Nothing here was dismissed after a test.
• Final verdict (split): Steinmetz L-C analogy and circuit equations: Established (circuit/source-free sense; "exact" duality overstated); Z0/(2 pi) as "the correct impedance": Not testable as stated (convention), and Internally inconsistent across the author's two papers; electrigen / "charge does not exist": Tested, not supported indirectly (electron carrier measurements; the paper's consequences are contradicted), while electrigen itself is Never properly tested; Demystifying Complex Numbers (matrix form of complex numbers): Established (as pedagogy; the "no imaginary unit needed" gloss is not accurate because J^2 = -I).
• What would settle it: a detection of a neutral conducting Group 0 species or any measurement where the charge carrier is not an electron or ion.

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Corrected claim list (replaces claims.md where different)

1. Light propagates in a physical medium: an e+e- lattice (2017), later Planck-scale granules (2019-2023). The "derivation" of c from the pair medium is E = mc^2 restated and returns c for any particle mass.
2. Charge is the amplitude, in metres, of waves in that medium, and mass is standing-wave energy; Coulomb's law, m_e and G are said to follow. In the papers read, they follow only from definitions (r_e, Planck units) plus one inserted factor (eq. 5.8.1).
3. (QE revised) The "derived constants" are identities of inputs that already contain hbar, G, alpha, m_e and eps0: 11 of 13 outputs in the Spacetime paper, with three (h, E_Ry, lambda_C) needing an unexplained factor (1/2, 1/2, r_e/2); N_A = a0/(2 l_P e) is 37 ppm off and unit-dependent; the strong force 42,127 N is Coulomb x 1/alpha; the orbital force is the Bohr centripetal term relabelled. The one non-identity output, the 2.7e-17 m wavelength, implies a 45 GeV photon ceiling that LHC and cosmic photons contradict. (Original text follows.) The "derived constants" (c, k, G, Compton, Bohr radius) are identities of the inputs. Two are genuine numerical claims and both fail: alpha = 1/(4 pi^3+pi^2+pi) (2.2e-6 off, about 13,900 standard uncertainties) and a_e = alpha/(2 pi) (0.152% off, the leading QED term only). Not "each reduces to an identity", as claims.md said.
4. h is the energy of one cycle at any frequency; photon energy is a one-second accumulation; MUA ("cycle" as base unit) removes quantum uncertainty and sets a minimum temperature h/k_B. (QE added) Maxwell's displacement current is not separate from J (nabla x H = J = dD/dt, Planck V2 and V3 Appendix B, second-hand from Distinti); w t and k z "cannot be added", so Schroedinger's equation is "erroneous"; a proton "force" 5.01e-19 N is missing from NIST (it is m_p c in kg m/s).
5. Michelson-Morley is "circular" and does not exclude an aether; GW150914 and the Fermi 0.4 s transient are a P-wave then an S-wave; the author says the aether idea should be revisited if all future gravitational-wave events are followed by gamma rays (a conditional, not "all future LIGO events should show it", as claims.md said).
6. (QE revised) Particle energies follow E = E_nu K^5 Sum_{n=1..K}[n^3-(n-1)^3]/n^4 with E_nu = 2.38925 eV (fitted to the electron) and an integer K chosen per particle from the neutrino to the Higgs (K = 1, 8, 10, 20, 28, 50, ..., 117); the proton is 4 e- + 1 e+ and the neutron 5 e- + 1 e+ (or 4 in one figure); beta decay is triggered by solar (anti)neutrinos. Original claim: particles are standing-wave clusters of Planck-scale wave centres (neutrino the unit; K = 8, 20, 28, 50); the Mandelbrot set models black holes (pear-shaped photon ring); the author calls the latter "circumstantial and highly speculative".
7. Side positions (QE: CNPS 2018 "equivalences" with Distinti are identities of the r_e definition, and the stated K_M = mu0/2pi disagrees by a factor 2 with the tabulated numbers, which need mu0/4pi): charge obsolete; electric current is a diffusion wave of "electrigen" (Dinu and Gardi, 2020); E and H are exact duals (Steinmetz, 1914); free space is an LC circuit with impedance Z0/(2 pi) (the 2023 OM paper gives Z0/(4 pi)); complex numbers as 2x2 matrices (correct pedagogy).

Final verdicts, one line per claim

1. Aether/medium: detectable-frame aether Tested, not supported; undetectable or Planck-granule form Not testable as stated; Lorentz-ether form Historically superseded but instructive; pair-lattice derivation carries no evidence.
2. Charge as length: Not testable as stated (convention); derivations are definitions; physical content Never properly tested.
3. Derived constants (QE revised): alpha formula and g-2 value Refuted by calculation (and the alpha error propagates, hidden by 4-5 figure printing, to R_inf at about 7 ppm); the rest are circular identities with no evidential value (strong force, Bohr radius, Rydberg, h, Compton, mu_B, G, CNPS gravity "three ways"); N_A Not testable as stated (and 37 ppm off); 2.7e-17 m wavelength: Internally inconsistent (0.87% between its two derivations) and its photon-floor consequence Tested, not supported (45 GeV, LHC and PeV photons); "validated hydrogen to calcium": ref [15] (Yee, not Gardi) reproduces Bohr Z^2 on one-electron ions and fits multi-electron atoms with per-orbital parameters, so not an independent validation.
4. h per cycle: notation Not testable as stated; physics Tested, not supported (indirectly); uncertainty-removal and minimum-temperature claims Refuted by calculation; (QE new) removal of displacement current Refuted by calculation (vacuum waves and charge continuity fail); "wt and kz cannot be added" Internally inconsistent with phase being an angle (notation objection, contradicts all wave optics); laser example uses P/c for a "perfect reflector" (should be 2P/c), an error in the paper's baseline; Fp = m_p c: numerically right, not a force.
5. MM/LIGO: MM circularity Tested, not supported; P/S interpretation Tested, not supported (weakly; premise 2.9 sigma); later-event follow-up unverified [memory].
6. Particle clusters (QE revised): lepton/hadron energy formula Tested, not supported (neutrino outputs excluded by KATRIN; charged-lepton and hadron K assignments are post-hoc fits with no predictive power; muon 10.2% low); composite proton/neutron Internally inconsistent; solar-neutrino-triggered decay Refuted by calculation; Mandelbrot premise Refuted by calculation, analogy Not testable as stated; pear ring Tested, not supported (loosely; the M87 overlay is not a photon-ring test).
7. Steinmetz and complex-number matrices Established; Z0/(2 pi) Not testable as stated and inconsistent with the OM paper's Z0/(4 pi); electrigen Tested, not supported indirectly, itself Never properly tested.

What would settle it (single decisive items)

• Claim 3: one output not already an input, predicted in advance (alpha to 9 digits).
• Claim 4: single-photon counting with two pulse durations of the same light.
• Claim 5: gamma-ray lag versus distance across many gravitational-wave events.
• Claim 6: one computed lepton mass ratio or lifetime from the cluster geometry.
• Claim 1: the vacuum dispersion and density the stated lattice implies, compared with Fermi GRB 090510 and cavity limits.
• Claim 7: any non-electron carrier of conduction current.

Open questions

• Do the unread equations (Geometry of Particles, Spacetime pp. 10-26) or the companion papers contain a prediction that is not an input? Unknown.
• Is the MUA laser example's mirror perfectly reflecting (P/c vs 2P/c)? The reviewers disagree and I did not re-read the PDF.
• Did later gravitational-wave events (O1-O3) lack gamma-ray counterparts? [memory, medium], unverified; I could not complete the web check.
• Optical-resonator isotropy limits (about 1e-17) remain [memory, medium], unverified here.
• Is the cross-paper charge inconsistency (2019 vs 2023) real as the mathematician reports? Single-reviewer finding, not re-verified.
• Is the Avogadro fit a0/(2 l_P e) a coincidence of units, as the mathematician argues, or more? Not re-run by me.
• Has anything been formally submitted and rejected, and why? I found no sourced record either way.

What is worth keeping

The complex-number matrix paper is correct pedagogy; Steinmetz's duality is mainstream; asking whether "cycle" is a hidden unit in E = hf is a legitimate teaching question whose answer is a convention. The author deserves credit for stating checkable numbers (and for the conditional "revisit" criterion in claim 5), which is why claim 3 could be refuted at all.

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QE revision (after qe.md, verdict MINOR)

Inputs added: qe.md and the six deep reads in deep/ (Geometry of Particles, Geometry of Spacetime v2.3, Electric Universe v2, Planck V2, CNPS 2018, PaperColour). QE's escalation condition ("MAJOR if deep reads 2 and 3 find non-identity predictions scored as identities") did NOT trigger: the Spacetime and Electric Universe deep reads confirm the identity reading (except one genuine output, the 2.7e-17 m wavelength, which is falsified). Only claim 6 changed materially; claims 3, 4, 5 and 7 are strengthened or extended.

New web checks (arbiter, 3 calls)

• [web] https://arxiv.org/abs/2406.13516 : KATRIN, "Direct neutrino-mass measurement based on 259 days of KATRIN data": m_nu < 0.45 eV at 90% CL. Upgrades the physicist's and deep reader's [memory, medium-high] to [web].
• [web] https://en.wikipedia.org/wiki/Muon : muon mass 105.6583755(23) MeV (PDG value, secondary source). [web] https://en.wikipedia.org/wiki/Tau_(particle) : tau mass 1776.86(12) MeV (PDG 2018 value, secondary source). Both agree with the [memory, high] values QE used.
• Failed or not done: pdg.lbl.gov table page had no numbers; neutron-lifetime independence of solar flux (deep reader [memory, medium]) and the IBM "camelback" identity are NOT web-checked. Neither is needed for a verdict (the solar-trigger refutation rests on the cross-section arithmetic; camelback is only a citation in the paper).

Claim 6: changed

Before: "Never properly tested" because no output was computed. That premise was false. Eq. 4.10 and Table 5.1 of the Geometry of Particles paper compute energies, and QE and the Opus deep reader both reproduced them [calc]. What the deep read shows:

1. E_nu = 2.39 eV is not derived independently of m_e. Eq. 2.4 is the definition of r_e; g_v = 0.983592 is fitted to r_e and cancels exactly out of E_nu; E_nu = hbar c/(2 K_e^6 e^10 q_P) uses a charge in "metres" that is a coulomb value reused; K_e = 10 is itself taken from the Section 4 plot, which is calibrated on E_nu (circular). For Table 5.1 the paper retunes E_nu to 2.38925 eV "resulting in the exact calculation of the electron's rest energy" [read: p.17].
2. Fig. 4.2 assigns K to about 30 particles up to the Higgs (K = 117) "by best fit" after the mass is known. Neighbouring K differ in energy by about 1 + 5/K (1.19 at K = 28, 1.046 at K = 110), so any mass lies within a few percent to 10% of a grid point: the fit has no predictive power. The paper offers no predicted particle. Where two particles share a best K one is moved up (Lambda/Sigma, D/D_s, B/B_s).
3. Muon: K = 28 gives 94.89 MeV, 10.2% below 105.66 MeV [web PDG via Wikipedia]; K = 29 gives 113.25 MeV, 7.2% above, closer. K = 28 was chosen for the nuclear magic-number story (8 + 20 = 28). New finding: Fig. 4.2 plots the muon at x = 28 but its y-value is 149.45 = mass/29^4, so the figure hides the misfit that Table 5.1 reports. Tau: 1.756 GeV vs 1.77686 GeV, 1.2% low. The "PDG values" for the three neutrinos (2.2 eV, 0.17 MeV, 15.5 MeV) are old upper limits; the model's neutrino outputs (2.39 eV; 0.163 MeV; 17.3 MeV) conflict with KATRIN m_nu < 0.45 eV [web] and cosmology [memory, medium].
4. Composites (Fig. 5.6-5.11): proton 4 e- + 1 e+, neutron 5 e- + 1 e+. Charge counting gives -3e and -4e; the paper attributes net charge to the centre particle only and never counts. Six spin-1/2 constituents would give integer spin for the neutron. The proton is K = 44 in Fig. 4.2 but implicitly K = 50 or "no K" in Section 5. The neutron has 6 particles in three figures and 4 in Fig. 5.10. Mass: five electron masses are 2.555 MeV vs 938.272 MeV, with no stored-energy mechanism given.
5. Solar-neutrino trigger of beta decay: not stated as testable, but on its own numbers (neutron lifetime about 880 s from solar flux 6.5e10 cm^-2 s^-1) it needs a cross-section of about 1.7e-14 cm^2, about 1e29 times the real MeV-neutrino value [calc; flux and lifetime [memory, high]]. Earth would be opaque to solar neutrinos, contradicting underground detection. The Sun emits neutrinos, not antineutrinos [memory, high].

New verdicts for claim 6 (split): - Energy formula, neutrino scale (2.39 eV, 0.16 MeV, 17 MeV): Tested, not supported (direct measurement KATRIN [web]; the 0.16 and 17 MeV outputs are above current limits [memory, high]). - Charged-lepton and hadron K fits: not a test; post-hoc fits with no predictive power, one input (electron) fitted. Scored Not testable as stated (as predictions); numerically muon -10.2%, tau -1.2%. - Composite proton/neutron: Internally inconsistent (charge and spin counting, K = 44 vs 50, neutron 4 vs 6 particles). - Solar-neutrino-triggered beta decay: Refuted by calculation (cross-section about 1e29 too large; wrong particle type). - Mandelbrot set premise: unchanged (Refuted by calculation). Pear-shaped photon ring: Tested, not supported (EHT ring circular [web arxiv.org/abs/1906.11238]) with the earlier caveat. PaperColour deep read adds: the prediction is qualitative ("oblate or slightly pear shaped", conditional, "highly speculative"); the M87 "pear" and "singularity at (0,0)" match is a hand-registered alpha-blend of an optical image on parsec scales with the iteration count chosen (two), so it is post hoc and is not a photon-ring test; 3C 186 and the S-star and bubble-chamber figures are visual, unquantified (author: "preliminary"); the 22 ly offset is Batcheldor 2010, not her result. Not a quantitative test anywhere. - Magic numbers 8, 20, 28, 50: Not testable as stated (numerology); with free K per particle matching four of seven magic numbers is weak, and K = 28 was selected over a better-fitting 29. - What would settle it (unchanged in kind): a mass or K predicted before measurement. None exists in the paper.

My earlier disagreement 5 (physicist's "refuted in a weak sense" for the neutrino) is withdrawn in the other direction for the energy: the paper does assert 2.39 eV, and that is excluded by direct measurement, so "Tested, not supported" now applies.

Claim 3: strengthened (verdicts unchanged, scope extended)

From the Spacetime, Electric Universe and CNPS deep reads: - Eleven of thirteen "derived" outputs in the Spacetime paper are identities of inputs that already contain hbar, G, alpha, m_e, eps0 (the five "constants" are Planck units, q_P = sqrt(4 pi eps0 hbar c), and r_e). mu0 = 4 pi m_P l_P/q_P^2 is itself an identity. h, E_Ry and lambda_C each need an unexplained factor (1/2, 1/2, r_e/2) that gives the right answer. - Strong force F_s = hbar c/r^2 = Coulomb/alpha at any r (no range cut-off). Electric Universe: 42,127 N is Coulomb at an unsourced proton radius 8.663e-16 m times 137 [calc], so it is an input times 137. Orbital force F_o = hbar^2/(m_e r^3), the Bohr centripetal term relabelled as a repulsion; equating it to Coulomb returns a0 = r_e/alpha^2 by construction, and alpha = sqrt(r_e/a0) (Eq. 4.6) is circular. h = (1/2) mu0 c e^2/alpha is the definition of alpha solved for h. Gravity formula is G m_e^2/r^2. - N_A = a0/(2 l_P e) = 6.02236e23, 37 ppm high, factor e chosen; a ratio of two lengths cannot equal a count that depends on gram vs kilogram. Faraday's law is cited as support; that is reinterpretation, not a test. - Propagation of the geometric-alpha error: alpha = 1/(4 pi^3 + pi^2 + pi) is off by 2.2e-6 and is used in m_e, a0, E_Ry, R_inf, lambda_C, mu_B, N_A. Shifts of 1 to 7 ppm are hidden by 4-5 figure printing and by mixing in CODATA inputs; R_inf would be about 6.6 ppm wrong, roughly 3e6 standard deviations [memory, high for R_inf precision]. So "all match CODATA" holds only through rounding. - The 2.7477e-17 m "fundamental wavelength" (f_l from a spring k_e/a and m_P) is the one output not fixed by the inputs. Its "second derivation" 2 q_P e^2 = 2.7717e-17 m differs by 0.87% (the paper says they match at 2.7e-17): Internally inconsistent at the paper's own precision. Its stated consequence, a photon wavelength floor, is a 45.1 GeV energy ceiling [calc]; Higgs diphoton photons (about 62.5 GeV each) and cosmic gamma rays of 100 TeV and above [memory, high; LHAASO web check failed] contradict it: Tested, not supported. - "Validated from hydrogen to calcium" [ref 15]: [web] https://vixra.org/abs/1708.0146 is Yee (later Yee, Zhu, Zhou), "Atomic Orbitals: Explained and Derived by Energy Wave Equations"; Gardi is not an author; it is not in the folder. The deep reader read v6: one-electron ions equal Z^2 x 1.31275 MJ/mol (Bohr), reproducing Bohr's shortfall (0.50% at Ca19+, the missing relativistic correction); multi-electron atoms agree to a few percent using per-orbital "amplitude factors" and Mathcad-solved distances with estimated angles. This is a parameterised fit, not an independent validation of the geometric framework or alpha. I accept this from the deep reader's web read; I did not re-fetch. - CNPS 2018 (Yee-Gardi): the New Induction, New Magnetism and "energy conservation" equivalences with Distinti are identities of the r_e definition evaluated at chosen r = r_e (the tables hold a = v^2/r_e by construction, so E_ind = E_mag = m v^2). Gravity "three ways = 1.97e-56 J": Eq. 9 and 10 are the same quantity (G m_e^2/r_e = 1.965e-56 J); Eq. 11 uses constants defined only in an outside paper, so unverified. New inconsistency: the text gives K_M = mu0/(2 pi), but the tables need mu0/(4 pi) (factor 2). The paper itself says no testable difference is offered. Scored as claim 3 identities (no evidential value) and, for the physics claims, Not testable as stated. - Other claim 3 items from the Spacetime deep read: gravity as "shading" is a Le Sage mechanism with the usual heating and drag objections unaddressed [memory, high]; the pentaquark proton claim misuses LHCb heavy P_c resonances (about 4.4 GeV) [memory, high].

Claim 4: extended

• Planck V2 and V3 Appendix B (retained verbatim in V3, per the deep reader): "nabla H = J = dD/dt", i.e. displacement current equals current density, credited to Distinti's video (second-hand). The step "the dx terms cancel" multiplies rho = dDx/dx by dx/dt, treating a spatial derivative as a ratio and convecting a field with the charge. Refuted by calculation on two standard points [memory, high]: (a) in vacuum (J = 0) the paper's law gives nabla x H = 0, so no electromagnetic waves (the paper itself relies on waves); (b) div(curl H) = 0 would force div J = 0 always, breaking charge continuity (a charging capacitor has J = 0 in the gap and dD/dt not zero). The "IBM camelback effect" is cited by title only; unidentified, not web-checked.
• "wt and kz cannot be added, so Schroedinger's equation is erroneous" (V2 pp.7-8): a notation objection from MUA; phases are angles in radians and add fine. Contradicts all wave optics.
• Appendix A: h/c x f_Compton = m c (electron 2.7309e-22, proton 5.014394e-19 kg m/s, ratio 1.000000 [calc]). Numerically correct, an identity, and a momentum, not a force; NIST's "inverse meter-kilogram relationship" is a conversion factor, so the "mixed units" complaint is a misreading [memory, high]. V3 changes the symbol (h_q to h_Delta) but keeps the claim.
• h/k_B = 4.7992e-11 K is the temperature of a 1 Hz photon (hf/k_B), not a floor; the paper compares it with the MIT 500 pK result as "one order of magnitude" above her floor (the mathematician cites 38 pK as below it).
• Open question 2 closed: the MUA laser example uses P/c with the stated assumption "perfect reflector" (QE text check, F = 1.7212e-9 N = 0.516 W/c). A perfect reflector gets 2P/c. The physicist was right: an error in the paper's baseline (not in MUA itself). The contrarian's "agrees by construction" is also true, since the example is just algebra.

Claim 5: no change

No deep read touched it. Verdicts, the 2.9 sigma and INTEGRAL web checks, and the [memory, medium] caveats stand.

Claim 7: no change in verdict

CNPS findings above bear on Distinti "equivalences" (identities plus a factor-2 inconsistency), which I record under claim 3; the Steinmetz, Z0/(2 pi) vs Z0/(4 pi) and electrigen verdicts are unchanged. Correction to attribution: the Electric Universe paper is by Yee and Gardi; the electrigen paper is MyART (Dinu and Gardi).

Small corrections to this file

• Page numbers: this file said "pages 5-9 and 27-28" for page images of the Spacetime paper; the deep read states PDF pages (printed page = PDF page minus 1). Eq. 2.2.4 is PDF p.9, printed p.8.
• The contrarian's "4e-16 times less than one photon energy" slip: the ratio is h/(hf) = 1/f, about 2e-15 at 5e14 Hz; no verdict affected.
• Open questions now closed: Spacetime pp.10-26 and the Geometry of Particles equations (no prediction that is not an input, apart from the falsified wavelength and the failed neutrino masses); MUA reflector (P/c, an error); Avogadro (37 ppm, unit-dependent, factor e chosen). Still open: companion works (Mole and Charge, alpha and pi, Distinti, Calibrating the universe, Yee v1 to v5 of the atomic-orbitals paper); Eq. 11 of CNPS; the 0.04% agreement between Eq. 2.9 route (213,960) and Eq. 4.10 at K = 10 (213,874), which the deep reader could not explain; later-event LIGO counterparts [memory, medium]; the neutron-lifetime-vs-solar-flux independence [memory, medium]; the IBM "camelback" source.

Revised one-line verdict table (changed rows marked)