Gardi-Lori: quality engineering (Step 4b)

QE run 2026-10-03. Inputs read: _text/manifest.json, all 19 digest files in digest/, facts.json, claims.md, physicist.md, mathematician.md, contrarian.md, arbiter.md, primer.md, example.py. Spot checks used the extracted text in _text/ and page images I rendered to scratch space from the read-only source folder (nothing was written there). No deep/ folder exists: this project was reviewed before digests and deep reads were part of the process.

Verdict: MINOR (borderline MAJOR). The review is careful on claims 1-5 and 7. It has one serious factual error: all three reviewers, the arbiter and the primer say the particle paper computes no particle masses. It does. Table 5.1 of "The Geometry of Particles" gives a one-parameter lepton mass formula and compares it with Particle Data Group (PDG) values. That changes the claim 6 verdict from "Never properly tested" to a negative verdict. The change is confined to one claim, I have already reproduced the numbers, and it can be fixed through a "QE revision" in the arbiter and an updated primer. So I grade it MINOR. Escalate to MAJOR if the Spacetime or Electric Universe deep reads (items 2 and 3 below) find further non-identity numerical predictions that the reviews scored as circular identities.


1. Coverage

Check Result
Manifest documents 16 PDFs, all with a text layer, no OCR pages, none skipped by Step 0
Digests 19 digest files for 19 manifest chunks, one per chunk
facts.json entries 16, one per manifest document

The manifest's 19 chunks are 13 single-chunk documents plus 3 two-chunk documents (PaperColour, Spacetime v2.1, Spacetime v2.3). Coverage is complete. No document was skipped, so no skip reasons need checking.

Minor: the MyART digest file is headed with the PDF file name, but its content is the Dinu-Gardi "electrigen" paper. facts.json records this correctly.

2. Shortcuts

Step 1 ran before digests existed and sampled the large documents. facts.json is honest about this: its how_read fields say "sampled", "first half", "keyword-targeted". The shortcuts are judged below.

Document How read Acceptable?
The Geometry of Particles v2 (23 pp) "abstract, introduction, section headings and keyword-targeted passages; figures not viewed"; equations (images) never rendered Defect. This is the only source for claim 6. The sampling missed the paper's central quantitative result: Eq. 4.10 and Table 5.1 (see section 3). Every later step inherited the error.
The Geometry of Spacetime v2.3 (33 pp) introduction, sections 1-3 and 5.8; page images of 4 pages Defect. Claim 3 says the Bohr radius, Rydberg constant, h, Compton wavelength, Avogadro number and Bohr magneton are identities. For most of these that was asserted, not read: sections 4-5.7 and 5.9 (PDF pp. 19-32) were never read as images. The arbiter admits this ("Open questions"). The conclusion is probably right, but it is unverified.
Particles of the Universe Meets Electric Universe v2 (14 pp) "first half closely, rest skimmed"; equations not extracted Defect (moderate). The second half holds the strong force (42,127 N at the proton radius), the inverse-cube "orbital force", the Rydberg and h derivations with an interference factor Δ, and a multi-electron atom claim (digest pp. 7-12). None of these appears in facts.json or the reviews.
CNPS 2018 (Yee-Gardi-Distinti) (9 pp) first 4 pp closely, rest sampled Acceptable: it is peripheral to the verdicts. The digest supplies the gravity "three ways = 1.97e-56 J" result (p.7), which is not in facts.json (see section 3).
Planck Constant V2 / V3 V3 read in part; V2 vs V3 compared on only the first 30 diff lines Minor defect. V2 has appendices that differ from V3: Appendix A (a proton "force" constant 5.01e-19 N said to be missing from NIST tables) and Appendix B (the IBM "camelback effect", and the conclusion ∇×H = J = ∂D/∂t, i.e. dropping the displacement current). Nobody reviewed Appendix B (section 3).
PaperColour (12 pp) abstract, introduction, sections 15-16; rest skimmed Acceptable for the verdict. Its "orbital dynamics" (S-stars) and "bubble-chamber" comparisons (p.12) are labelled preliminary by the author and are not mentioned in the review.
theOM particle (2023), MyART, Demystifying Complex Numbers partial Acceptable: these are peripheral, and the digests agree with facts.json.
Medium for Light, MUA example, LC circuit, Steinmetz, Mass and Charge read in full Fine.

3. Missed material (from my own reading of the digests, checked in the text)

  1. The lepton mass formula (the most important omission). Geometry of Particles, Eq. 4.10 [read: page image PDF p.14]:

E = E_ν · K⁵ · Σ_{n=1..K} [n³ − (n−1)³] / n⁴

Here E_ν = 2.38925 eV is the energy of the "fundamental" neutrino, and K is the number of wave centres. Table 5.1 [read: text pp.16-17] compares the formula with PDG values. I reproduced every row [calc, this QE]:

K Particle Paper My recompute Measured / PDG
1 neutrino 2.389 eV 2.389 eV paper cites "~2.20"; this is an old upper limit, not a mass
8 muon neutrino 1.63e5 eV 1.627e5 paper cites 1.70e5. This is an upper limit (about 0.19 MeV) [memory, high]
10 electron 5.11e5 5.110e5 510,999 eV. Fitted: E_ν was tuned from 2.39 to 2.38925 to hit it
20 tau neutrino 1.73e7 1.734e7 paper cites 1.55e7. This is an upper limit (about 18 MeV) [memory, high]
28 muon 9.50e7 9.489e7 1.0566e8 [memory, high]: 10.2 % low
50 tau 1.76e9 1.756e9 1.77686e9 [memory, high]: 1.2 % low

What this means: - (a) The model makes testable numbers, so "Never properly tested (no quantitative output)" is wrong. - (b) It has one fitted energy and a free integer K chosen per particle "by best fit" (p.13, steps 1-2). With E roughly proportional to K⁵, neighbouring K values differ by about 19 % near K = 28 (E(29)/E(28) = 1.194) [calc]. So any mass lies within about 10 % of some K, and agreement to about 10 % is guaranteed. The fit has no predictive power. - (c) K = 29 gives 113.3 MeV, which is 7.2 % from the muon mass and closer than K = 28 [calc]. K = 28 was kept because it is a nuclear "magic number". The magic-number match the reviewers called numerology is therefore partly built in. - (d) The neutrino energy of 2.39 eV, and neutrino masses of 0.16 MeV and 17 MeV, conflict with direct and cosmological limits. KATRIN gives m_ν < 0.45 eV (2025) [memory, medium-high; needs web check]. Oscillation data plus cosmology put the sum of the three masses below roughly 0.1-0.2 eV [memory, medium].

Suggested revised verdict for claim 6 (particle part): Tested, not supported. The neutrino-scale masses are contradicted by direct measurement. The charged-lepton fits are post-hoc and carry no evidential weight.

  1. Composite proton and neutron, and solar-neutrino-triggered decay (Geometry of Particles pp.18-21 [read]). The proton is described as four electrons plus one positron, and the neutron as five electrons plus one positron. - Naive charge counting gives −3e and −4e, not +e and 0. The paper says only that the parts' charges "cease to be recognized". That is an internal-consistency problem none of the reviews raised. - The paper says beta decay is triggered by solar antineutrinos. The Sun emits electron neutrinos, not antineutrinos [memory, high]. The free-neutron lifetime (about 880 s) is measured in laboratory bottles and beams with no dependence on solar flux [memory, high]. - Electrons inside nuclei were abandoned in the early 1930s because of the nitrogen-14 spin statistics and nuclear magnetic moments [memory, high]. That makes a good "historically superseded" teaching point for the primer.

  2. "Validated from hydrogen to calcium" (Spacetime v2.3 text line 1194, p.26-27 [read]). The Rydberg/frequency equation with an interference factor D is said to reproduce photon energies from hydrogen to calcium "in a separate paper [15]". That paper is not in the folder. claims.md lists the companion works not read; this one (Yee's atomic orbitals paper) should be added.

  3. Dropping Maxwell's displacement current (Planck V2 Appendix B, p.10; V3 Appendix B, pp.9-10 [read: digest, text]). The paper concludes ∇×H = J (V3), or that displacement current and current density are "equivalent" (V2). Without the ∂D/∂t term there are no electromagnetic waves in vacuum, and charge conservation fails (∇·(∇×H) = 0 forces ∇·J = 0 always) [memory, high]. It is cited to Robert Distinti. It is a striking, checkable error and appears in no review file. It belongs under claim 4 or claim 7.

  4. Electric Universe second half: strong force 42,127 N at r_p = 8.663e-16 m, said to be "~137 times" the electric force (digest p.7-8); an inverse-cube "orbital force" keeping the electron at the Bohr radius; h "derived" (pp.10-12). Spot arithmetic: k e²/r_p² = 307 N, and × 137.036 = 42,100 N [calc], so this is the Coulomb force times 1/α by construction. It should be noted under claim 3.

  5. CNPS 2018 gravity "three ways" (p.7): G m_e²/r_e = m_e c² α_Ge = 1.97e-56 J. Here α_Ge is the electron's gravitational coupling, which is defined as G m_e²/(ħc). So this is an identity, but it is not mentioned anywhere. Minor.

  6. Smaller items not carried forward: - Simhony's NaCl work is cited (in facts and primer; fine). - Juliana Mortenson's "hidden variables in light energy" acknowledgement (V3). - Bryan Steele (credited with the MUA laser example). - The 1960 adoption of "hertz" as the historical origin of MUA (V3 p.5). - MIT 500 pK quoted by Gardi herself as "one order of magnitude" above her floor (V2 p.6). The mathematician has this; the primer does not. - PaperColour's comparisons with S-star orbits and Fermilab bubble-chamber tracks (p.12). - Pear-shaped Ra-224/Ba-144 nuclei offered as support. The physicist covers this.

4. Accuracy spot checks

# Fact checked Where Result
1 "No mass, lifetime or branching ratio is computed" (facts.json, all reviewers, arbiter claim 6, primer evidence table) Geometry of Particles pp.13-17 text and page image p.14 Wrong. Eq. 4.10 and Table 5.1 compute lepton energies. I reproduced all six rows to 3-4 figures (section 3, item 1).
2 Arbiter open question: does the MUA laser example's "perfect reflector" use P/c? MUA text lines 58-60: F = 1.721190731e-9 N, "assumes that the object is a perfect reflector" Confirmed P/c with "perfect reflector". 0.516 W / c = 1.7212e-9 N. A perfect reflector feels 2P/c. The physicist was right; the open question can be closed. The error is in the paper's "standard physics" baseline, not in MUA itself.
3 1/α = 4π³ + π² + π (Spacetime v2.3 eq. 2.2.4) page image PDF p.9 (printed p.8) Confirmed: α₂{x = y = d = r_e, l = πr_e} = 1/(4π³+π²+π) = 0.00729734. The primer's citation (PDF p.9, printed p.8) is correct. example.py reproduces 137.036304 and 13,892σ.
4 NaCl "3700 m/s", e+e− "1.022 MeV", GW150914 at "1.3 billion light years" with gamma rays "approximately 0.4" s later Medium paper, text lines 140-146, 170-185, 275-289 Confirmed.
5 Primer further reading: "I. Dinu and L. Gardi, 'Particles of the Universe Meets Electric Universe' v2 (electrigen)" Electric Universe p.1-2; MyART p.2 Wrong attribution. The Electric Universe paper is by Jeff Yee and Lori Gardi. The electrigen paper is MyART ("Fundaments of a Theory of Aether", Dinu and Gardi).

Additional small accuracy issues: - contrarian.md, claim 4: "one cycle carries about 4e-16 times less than one photon energy". The ratio h/(hf) = 1/f = 2e-15 at 5e14 Hz, so h is about 5e14 times smaller than hf. This does not affect the verdict. - Page-image page numbers for the Spacetime paper do not match across files. claims.md says "pages 7, 8, 28 and 29"; the arbiter says "pages 5-9 and 27-28". Files should state whether they mean PDF or printed pages: the PDF numbers run one ahead of the printed ones.

5. Process

  • Source tags. Present throughout and generally honest. The arbiter and primer are explicit when they rely on another reviewer or on Step 1. The source-gap note is repeated in the arbiter and the primer, as required.
  • Web checks. These are good for the verdict-bearing facts: the α and a_e CODATA values, Fermi GBM, INTEGRAL, GW170817, EHT M87*, and the PRL on 38 pK. Two verdict-relevant [memory] items remain:
  • (i) later binary-black-hole events lacking gamma counterparts. The arbiter tried, failed, and correctly kept it out of the verdict.
  • (ii) the KATRIN neutrino-mass bound: physicist [memory, medium, not web-checked], mathematician [memory, medium, unverified]. With the revised claim 6 this bound becomes verdict-bearing, so it must be web-checked.
  • Verdict scale. Applied consistently, and the arbiter's conventions section, separating circular identities from refuted physics, is a sound addition. Claim 6 is the exception: "Never properly tested" rested on a false premise.
  • Primer. Follows the STEP 4 order (sections 1-9 plus answers). It defines symbols and explains Planck units and α from scratch, so it fits the reader profile. The worked example (sound speed, from salt to the vacuum) is real, step-by-step and backed by example.py. Defects: the claim 6 row of the evidence table; the further-reading misattribution; no mention of the displacement-current error.
  • example.py. Runs cleanly with .venv/bin/python. Its output (3699.2 / 3667.3 m/s; v = c for any pair mass; 1/α miss of 2.223e-6, or 13,892σ) matches the primer and arbiter.

6. Remediation actions

Deep reads (most important first)

  1. TheGeometryofParticlesandtheExplanationofTheirCreationandDecayv2-ac6e61, pp. 2-22, Opus. Read every equation as a page image. - How is E_ν = 2.39 eV obtained (Eqs. 2.1-2.10, the "g-factor")? Is any step an identity or a tuned constant? - What K values does Fig. 4.2 assign to every particle, from the neutrino to the Higgs? Is any K or mass predicted before comparison? - Confirm Table 5.1 and the K = 28 vs K = 29 choice. - How do the composites (proton = 4e⁻ + 1e⁺, neutron = 5e⁻ + 1e⁺) get their charge, spin and mass? - Is the decay mechanism (solar (anti)neutrino triggers) stated as testable?
  2. TheGeometryofSpacetimeandtheUnificationofForcesv2-3-f01483, pp. 10-32, Opus. Page images of sections 3.2-5.9. - For each "derived" constant (Bohr radius, Rydberg, h, Compton wavelength, N_A, Bohr magneton, fundamental wavelength 2.7e-17 m), is it an identity of the inputs or a genuine prediction? - Does the geometric α (off by 2.2e-6) feed into the other outputs? - What exactly is claimed about the "hydrogen to calcium" validation and its reference [15]?
  3. ParticlesoftheUniverseMeetsElectricUniversev2-37c6b2, pp. 5-13, Sonnet. - Are the strong force (42,127 N), the inverse-cube orbital force at the Bohr radius, and the Rydberg/h derivation with Δ identities? - What is claimed for multi-electron atoms?
  4. PlanckConstantAndTheNatureOfLight-V2-db51e8, pp. 6-10, Sonnet. - Read Appendix A (proton "force" constant) and Appendix B (displacement current, camelback effect). - Compare with V3 pp. 8-10. What exactly is claimed about ∇×H, and is the claim kept in V3?
  5. CNPS-2018-ProceedingsJeffYeeLoriGardi-026535, pp. 4-9, Sonnet. - Are Distinti's New Induction and New Magnetism "equivalences" and the gravity "three ways = 1.97e-56 J" identities? - Is any testable difference from standard equations stated?
  6. PaperColour-6aab39, pp. 5-12, Sonnet. - What precisely is predicted about pear-shaped photon rings and the singularity position? - What are the M87 "22 light-year offset" and 3C-186 alignment claims? - What do the S-star and bubble-chamber comparisons claim, and is any of it quantitative?

Changes to later files

  • facts.json
  • Geometry of Particles: correct how_read, summary and key_claims to include Eq. 4.10, Table 5.1, the fitted E_ν, the composite proton/neutron and the solar-neutrino decay trigger.
  • Electric Universe: add the strong-force, orbital-force and Rydberg/h claims.
  • Planck V2/V3: add the displacement-current claim, and correct the V2 how_read once the body is compared.
  • CNPS 2018: add the gravity-identity claim.
  • Web-check the KATRIN bound and the PDG muon and tau masses, and retag them [web].
  • claims.md
  • Claim 6: add "lepton masses follow E = E_ν K⁵ Σ…, fitted to the electron; neutrino ≈ 2.39 eV; proton = 4e⁻ + 1e⁺".
  • Claim 4 or 7: add "Maxwell's displacement current is spurious (∇×H = J)".
  • Source gap: add Yee's atomic-orbitals paper (ref [15] of Spacetime) to the companion works not read.
  • Make the page-image page numbers (PDF vs printed) consistent.
  • arbiter.md: add a "QE revision" section that:
  • (a) changes claim 6 (particle model) from "Never properly tested" to Tested, not supported: neutrino-mass outputs contradicted by KATRIN and cosmology; charged-lepton fits post-hoc with about 19 % K-spacing; muon off by 10 % with K = 28 chosen over a better K = 29.
  • (b) adds Internally inconsistent for the composite-proton charge count, unless the deep read finds a stated rule.
  • (c) adds the displacement-current removal as Refuted by calculation (charge continuity and the vacuum wave equation).
  • (d) closes the MUA reflector question: the paper's own baseline uses P/c for a perfect reflector, which is an error.
  • (e) updates claim 3 with whatever deep reads 2-3 find.
  • primer.md
  • Fix the claim 6 row of the evidence table and section 7 ("What is genuinely open" no longer applies to particle masses).
  • Add a short worked check of Eq. 4.10, with the K-spacing argument, to section 5 or 7. This is an excellent learner exercise on post-hoc integer fitting. Add a matching check-yourself question.
  • Fix the further-reading attribution (Electric Universe = Yee and Gardi; electrigen = MyART, Dinu and Gardi).
  • Mention the displacement-current error in section 4.
  • Optionally note the 1930s "electrons in the nucleus" history.
  • example.py: optionally add a section G that reproduces Table 5.1 and E(K+1)/E(K).
  • contrarian.md / physicist.md / mathematician.md: no rewrite needed under MINOR. The arbiter's QE revision supersedes their claim 6 sections. Fixing the contrarian's 4e-16 → 2e-15 slip is optional.

Recheck

Recheck run 2026-10-03 (Sonnet). Read: arbiter.md (QE revision section), claims.md, facts.json (valid JSON), primer.md, example.py (run in the project venv), deep/ (six reads present). Source folders not touched.

Defects

# Defect Status
1 Claim 6 false premise "no masses computed" (Eq. 4.10, Table 5.1) Fixed. facts.json, claims.md (claim 5 now carries the formula), arbiter QE revision (claim 6 changed to Tested, not supported; K = 28 vs 29; fitted E_nu; K-spacing argument) and primer (section 5 Step 10, evidence table) all state it.
2 Geometry of Particles sampled only Fixed. Opus-style deep read exists in deep/; the arbiter records its findings.
3 Spacetime v2.3 sections 4-5.7, 5.9 unread (claim 3 identities asserted) Fixed. Deep read done; arbiter claim 3 section states 11 of 13 outputs are identities. The escalation to MAJOR did not trigger.
4 Electric Universe second half unreviewed Fixed. Deep read done; strong force, orbital force and Rydberg/h covered in arbiter claim 3 and claims.md.
5 Planck V2/V3 Appendix B (displacement current) and Appendix A missed Fixed. Deep read done; arbiter claim 4 adds Refuted by calculation; primer section 4 and the evidence table cover it.
6 CNPS 2018 gravity "three ways" and Distinti equivalences missed Fixed. Deep read done; recorded in the arbiter (claims 3 and 7).
7 PaperColour S-star and bubble-chamber claims not reviewed Fixed. Deep read done; arbiter claim 6 notes the prediction is qualitative.
8 Composite proton/neutron charge count and solar-neutrino decay trigger Fixed. Arbiter claim 6: Internally inconsistent and Refuted by calculation (cross-section about 1e29 too large); example.py section H.
9 MUA reflector P/c open question Fixed. Closed in the arbiter as an error in the paper's baseline.
10 Primer misattribution (Electric Universe = Yee and Gardi; electrigen = MyART, Dinu and Gardi) Fixed. Primer further reading corrected; arbiter notes it.
11 Page-number convention (PDF vs printed) Fixed. claims.md and the arbiter state PDF pages (printed = PDF minus 1).
12 Contrarian 4e-16 slip Fixed in the arbiter (small corrections); contrarian.md left unedited, as QE allowed.
13 KATRIN bound and PDG muon/tau masses not web-checked Fixed in arbiter and primer (arxiv 2406.13516; Wikipedia PDG values). Remains in facts.json: lines 303-304 still tag them [memory] ("web check pending"), not retagged [web].
14 Yee atomic-orbitals paper (ref [15]) missing from source-gap list Fixed. Listed in claims.md with the vixra URL.

Remediation actions

Action Status
Deep reads 1-6 (Particles, Spacetime, Electric Universe, Planck V2, CNPS, PaperColour) Done; all six files in deep/.
facts.json updates (Particles entry, Electric Universe, Planck, CNPS) Done, except retagging KATRIN/PDG as [web] (remains).
claims.md updates (claims 5 and 6 content, displacement current, source gap, page numbering) Done.
arbiter.md "QE revision" section with changed verdicts Done.
primer.md (evidence table, K-spacing worked check, check-yourself question, attribution, displacement current) Done.
example.py section G (Table 5.1, K-spacing) Done; sections G and H run cleanly and match the primer.
Optional: contrarian/physicist/mathematician edits; 1930s "electrons in the nucleus" note Not done; both optional under MINOR. Not counted as defects.

Remaining issues

  1. facts.json still tags the KATRIN bound and the PDG muon/tau masses as [memory] with "web check pending", although the arbiter and primer have the [web] checks. This is a consistency gap only, with no effect on any verdict.

Final: OPEN (1 issues)


Recheck 2

Recheck 2 run 2026-10-03. Re-read facts.json (valid JSON), claims.md, arbiter.md, primer.md and deep/ (six reads present).

  1. facts.json still tags the KATRIN bound and the PDG muon/tau masses as [memory] with "web check pending": Fixed. facts.json lines 303-304 now carry [web] tags: muon 105.6583755(23) MeV and tau 1776.86(12) MeV (PDG values via Wikipedia), and KATRIN m_nu < 0.45 eV at 90% CL (arxiv 2406.13516). This matches the arbiter and primer. Only the old 0.19 MeV and 18.2 MeV neutrino limits remain tagged [memory] (line 305), which is correct for a historical value that does not bear on the verdict.

Final: PASS