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)
- 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.
-
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.
-
"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.
-
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.
-
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.
-
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.
-
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)
- 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?
- 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]?
- 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?
- 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?
- 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?
- 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,summaryandkey_claimsto 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_readonce 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
- 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).
- 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