Evans-Myron: Quality Engineering (Step 4b)

Inputs checked: _text/manifest.json, all 38 digests (25 for CEFE, 13 for Felker), facts.json, claims.md, physicist.md, mathematician.md, contrarian.md, arbiter.md, primer.md, example.py. Spot checks were made against the extracted full text in _text/. Page numbers below are PDF page numbers (the "=== page N ===" markers in _text), unless marked "printed". In CEFE Ch.2 the printed page number is the PDF page minus 8 (printed p.47 is PDF p.55).

Context: Step 1 ran before the digests existed, so it sampled both books. This QE checks whether that sampling left a central verdict unsupported, using the digests as the full-coverage record.

1. Coverage

No file was skipped, and both manifest documents have a facts.json entry. Coverage: no defect.

The facts.json how_read fields are now out of date. They describe only the Step 1 sampling ("text layer sampled ...") and do not mention the digests. This is accurate history, but the fields should be updated to "digest + text layer sampled (sections) + deep reads (pages)" once the remediation below has run.

2. Shortcuts

3. Missed material (from the digests)

Items are listed in order of importance. Everything here is [read] from the digests and is confirmed against _text where marked.

1. Explicit falsified prediction on gravitational waves. Crothers writes "The LIGO project and its international counterparts have not detected gravitational waves. They are destined to detect nothing" and says Gravity Probe B did not detect frame dragging [read: CEFE PDF p.130, confirmed in _text; the same wording recurs at the Ch.3 conclusions]. The physicist says the 2010 book "could not have addressed" LIGO (physicist.md item 5), which is wrong. The book made a dated prediction, and GW150914 (2015) falsified it. This is the cleanest "Tested, not supported" item in the project. It belongs in claims.md Claim 2, in the arbiter and in primer table row 2. Gravity Probe B's frame-dragging result (about 19% precision, 2011) [memory, high] postdates the book as well.
2. Radiative corrections (CEFE Sec. 2.8, PDF pp.54-61): a new testable claim nobody reviewed. ECE gives g(ECE) = 2.002323(49) against g(exptl.) = 2.0023193043718(75). The book admits g(ECE) − g(exptl.) = 0.000004 and says the gap is "about the same order of magnitude as the experimental uncertainty of h". It calls the precision tests of QED "of no utility and no meaning", and gives an ECE Lamb shift of ΔE = 0.0353 cm⁻¹ [read: PDF pp.55-58, confirmed]. See Check 2: the book's own numbers refute its error budget. This should become a new claim, "ECE reproduces g-2 and the Lamb shift without QED; QED precision is illusory", with verdict Tested, not supported.
3. Electroweak masses (Felker pp.244-245). Felker states that Evans's equation m² = ħ²/4c² ((W1µ)² + (W2µ)²) gives "the experimentally observed masses of 78.6 GeV/c² (W) and 89.3 GeV/c² (Z)", and that "it is virtually impossible for this calculation to arrive at the boson masses if the equations used were not correct" [read: confirmed]. No calculation is shown: the W components are not given. The quoted "experimental" values are also not the measured ones, which are about 80.4 and 91.19 GeV [memory, high]. The arbiter's "no mass derived in sources read" should become "a numerical success is asserted, but no derivation is shown, and the quoted targets disagree with measurement by about 2%".
4. Ch.4 interprets its own output as cosmological charge and current densities. The tables report "Cosmological charge and current densities do exist" for Kerr, Reissner-Nordström and others [read: digest pp.200, 215]. For FLRW the "charge density" printed is ρ = −3ä/a [read: digest pp.252-256, 400-401, 453-455]. This is exactly the Ricci component that the primer derives in Step C, so the book's own table matches example.py. The primer should cite it. The Kruskal-coordinate table reports nonzero Ricci and charge density [read: digest pp.291-297] although Kruskal is a vacuum metric. This points to an input error (r(u,v) treated as a free function), which supports the arbiter's "coding or transcription issues" remark with a concrete case.
5. Crothers Secs 3.5-3.9 arguments [read: digest pp.110-136]: infinite density is forbidden by special relativity; escape velocity is a "two-body concept", so the black hole "has no escape velocity"; no exact two-body solution exists, so binaries and mergers are "invalid concepts"; the field equations "must" be G/κ + T = 0, so gravitational energy cannot be localised and gravitational waves do not exist (citing Levi-Civita 1917, Dirac, Eddington, Weyl 1944 on linearisation); the Kretschmann scalar is finite at r = 2m, so r < 2m is meaningless. None of these was reviewed. They are standard Crothers arguments, and each one has a textbook answer: the infinite-density argument confuses speed with density; the two-body arguments are answered by numerical relativity and post-Newtonian theory; the pseudotensor objection does not rule out radiated energy, as binary-pulsar decay shows. These answers are [memory, high] and need to be stated by the arbiter.
6. Uncertainty-principle evidence besides Croca (Felker pp.214-215): a microscope with Δx = λ/50 and Δp = 2h/λ, giving ΔxΔp = h/25, and the Afshar double-slit experiment, said to disprove complementarity. Only Croca is discussed in the reviews. The microscope argument mixes resolution with the preparation spread, and Afshar's interpretation is disputed [memory, medium; web check needed].
7. Claimed experimental evidence for B(3) (Felker p.229): magnetisation by the inverse Faraday effect "of order a million gauss" with pulsed circularly polarised lasers, evidence in dense plasma, and Advances in Chemical Physics vol. 119, with the conclusion "no doubt that the B(3) field exists" [read: confirmed p.229]. The arbiter's "not testable as stated" verdict for B(3) should answer this claimed evidence directly. The inverse Faraday effect is real, but whether it discriminates B(3) from conventional theory is the question.
8. Minimum particle volume and the "Principle of Least Curvature" (Felker Ch.9, pp.203-213): mV₀ = kħ²/c², "no point particles", renormalization said to be unnecessary, and an electron volume of 1×10⁻⁷⁹ m³. This is a distinct claim that is missing from claims.md. Check 5 shows the arithmetic is wrong. Felker footnote 46 says the electron-shape speculation is Felker's, not Evans's, but mV₀ = kħ²/c² itself is presented as Evans's.
9. Dark matter is argued, though weakly. CEFE's list of advances (item 6, "spiral galaxy velocity curves", PDF p.62) and Ch.5 (p.546: "Eckardt's simulations show spiral galaxies result from spacetime torsion"; dark matter "belongs with phlogiston"). The arbiter's "no argument links them" should become "asserted via torsion simulations not included in the folder".
10. Internal tension in CEFE Ch.5 (Pendergast, pp.526-533). Pendergast accepts light bending to 1 part in 100,000 (Cassini), lensing, Chandra X-ray evidence and the stellar orbits that give a central mass of several million solar masses at Sgr A*. He proposes a testable ECE polarisation-tilt check using the double pulsar. Facts.json attributes the "Eddington lacked precision" claim to Ch.5, but that claim is in Ch.1 (p.16). Ch.5 says the Sobral data were set aside and that "modern quasar observations confirm light bending". Pendergast also cites Robitaille's ocean origin of the cosmic microwave background, Arp's redshifts, and an "Alternating Universe".
11. Faraday disk and Sagnac derivations (CEFE pp.49-53). Only the Faraday disk was noted. The Sagnac derivation (Δt = 2π[1/(ω₁ − Ω) − 1/(ω₁ + Ω)]) recovers the standard result, which is a fair point in ECE's favour that no file records.
12. Felker's own statement of authority (p.20-21): Evans "guided and permitted free use of his writings but did not correct" the book, and Ch.15 contains Felker's opinions. Facts.json records the Ch.15 caveat but not the "did not correct" statement. This matters wherever Felker is cited as Evans's view.

4. Accuracy spot checks (against _text)

1. "No violation of the laws of conservation of energy and momentum occurs" (contrarian and arbiter, "p.41"). Confirmed at CEFE PDF p.49 (printed p.41), together with "Paper 94 ... applied to a patented device ... takes energy from space-time" [read]. Correct, but the citation uses the printed page. The reviewers' page numbers for Ch.2 are printed pages, while the digests and manifest use PDF pages. The files should state which convention they use.
2. The g-factor numbers (missed item 2). Confirmed at CEFE PDF pp.55-56: Eq. 2.215 g(ECE) = 2.002323(49), Eq. 2.217 the difference 0.000004, Eq. 2.222 g(Schwinger) = 2 + α/π. The digest's rendering "g = 2(1 + α²/4π)" is garbled extraction. Eq. 2.223 shows g(ECE) = 2 + α/π + α²/(8π²). My recomputation [calc]: - With α = 7.29735257×10⁻³, g(ECE) = 2.00232349. The difference from experiment is 4.19×10⁻⁶, which is about 5.6×10⁵ times the stated experimental uncertainty of 7.5×10⁻¹². - The book's own inputs give α = e²/(2hε₀c) = 0.0072973526 with a relative uncertainty of about 1.8×10⁻⁷, not 0.007297(34), which is a relative uncertainty of 0.5%. The book overstates its own error bar by a factor of about 10⁴. - Propagated correctly, δg ≈ 4×10⁻¹⁰, so the ECE value is excluded by thousands of standard deviations even on the book's "limited by h" argument. - Its Lamb shift, ΔE = (1/16π^{3/2})(αħ/mc)(1/r) = 0.0353 cm⁻¹, depends on an unstated radius r. The measured 1057.8 MHz is 0.03528 cm⁻¹ [calc], so the agreement is a choice of r, not a prediction. - Since the 2019 SI redefinition, h is exact [memory, high], so "α is limited by h" no longer applies.
3. Ch.4 Kasner table (CEFE PDF pp.276-282). The book prints Ric₁₁ = p₁(p₁ + p₂ + p₃ − 1)t^{2p₁−2} and J₁ = −p₁(p₁ + p₂ + p₃ − 1)t^{−2p₁−2}, with J₂ and J₃ likewise [read: confirmed]. The "current density" vanishes exactly when the Kasner vacuum conditions hold, which confirms the arbiter's verdict (circular test) from the book's own output. Two errors follow: - The book says the Kasner conditions "probably can only be fulfilled for trivial cases like p₁ = 1, p₂ = 0, p₃ = 0". That is false: the exponents (−1/3, 2/3, 2/3) satisfy both sums [calc]. The book then plots p = (1, −1, 0), which has Σp = 0 and so is not a Kasner vacuum solution at all. - The nonzero "violation" plotted is an artefact of an invalid input, which makes this the concrete instance of the arbiter's "input errors" suspicion.
4. The electroweak masses (Felker pp.244-245). Confirmed verbatim: 78.6 (W) and 89.3 (Z) GeV/c². No derivation appears; Eq. (10) leaves (W1µ) and (W2µ) unspecified. Measured values are about 80.37 and 91.19 GeV [memory, high]. The arbiter's statement needs amending, as in missed item 3.
5. The electron volume (Felker pp.216-217). The text says V₀ ≈ 1×10⁻⁷⁹ m³ and a radius of about 4×10⁻¹³ m. Recomputed [calc] with k = 8πG/c² = 1.866×10⁻²⁶ m/kg: V₀ = kħ²/(mc²) = 2.5×10⁻⁸¹ m³, which is 40 times smaller than stated. A sphere of the book's 1×10⁻⁷⁹ m³ would have a radius of 2.9×10⁻²⁷ m, not 4×10⁻¹³ m; that radius gives a volume of 2.7×10⁻³⁷ m³. The text also calls 3.86×10⁻¹³ m "½ the Compton radius or 1.21×10⁻¹² m" and computes "4/3 π (1.21×10⁻¹²) = 9×10⁻³⁶ m³" with the cube missing. This is peripheral (Felker's own speculation), but it is a useful example of unit and arithmetic slips for the primer.
6. Facts that check out. The arbiter's numbers (Calc 1-5) are consistent with my reading and with example.py. The CEFE metadata (21 March 2010; authors) and the Felker metadata (October 2005) match the title pages. The Schwarzschild α correction made by the contrarian stands.

5. Process

• Source tags. Present and mostly honest in all files. The [read] and [web] versus [memory] distinctions are kept, and the source-gap note is repeated in claims.md, arbiter.md and primer.md as required. Two problems:
• The primer tags "chemical physicist" as [memory, medium], although the folder supports it: Felker p.11 says "about 700 published technical papers ... in physical chemistry", and CEFE Ch.5 (pp.505-513) mentions the Harrison Prize and Meldola Medal [read].
• The physicist's text keeps an unfinished phrase ("5.6e-25 eV/c^2*... check"). The arbiter noted it, but it was never cleaned up.
• Web checks. The reviewers and the arbiter logged their checks. The arbiter openly reports that its search budget ran out (Croca, Bedini) and that no verdict depends on those items. That is acceptable. The PDG photon-mass bound is only partly confirmed.
• Verdict scale. Applied consistently and with split verdicts where appropriate. One inconsistency: Claim 5 gives "no Higgs" the verdict "Never properly tested" while saying no mass was derived. With the asserted 78.6/89.3 GeV, the correct label is "Not testable as stated" (no derivation shown), or "Tested, not supported" if the asserted numbers are treated as the prediction. The arbiter should choose and say why.
• Primer. It follows STEP 4 in order, sections 1-9 with answers at the end. Tensors, the connection, torsion, tetrads and forms are introduced from scratch for the reader profile, every symbol is defined, and there is a worked numerical example with real numbers. The primer is good. Gaps:
• Evidence table row 2 should cite the falsified LIGO prediction.
• A g-factor row is missing.
• Step C could cite the book's own FLRW and Kasner tables as confirmation.
• example.py. Runs cleanly with .venv/bin/python (exit 0). Parts A-E reproduce every number in primer Section 5: E^κν = −Ric^κν for all 16 components, Γ̃ = 0, 7.962×10⁻⁵³ m⁻², K = 12r_s²/r⁶, 1.090×10⁻¹⁶ V/m, and φ = C₁r + C₂/r.

6. Verdict

MINOR. The central geometric verdicts (Claims 1-4) are sound, and the full digests and spot checks strengthen them rather than overturn them. The book's own Kasner and FLRW tables confirm that the "violation" is the Ricci tensor, and the book made a falsified gravitational-wave prediction. The defects are:

1. Two unread sections that carry testable claims: CEFE Sec. 2.8 (radiative corrections) and Crothers Secs 3.5-3.9.
2. Felker Chs 11-12, which were not read, so the electroweak-mass sub-verdict is misdescribed.
3. A sub-verdict mislabelled in Claim 5.
4. An error in the physicist's statement that the book "could not have addressed" LIGO.

All of these can be fixed by updating facts.json, claims.md, an arbiter "QE revision" section and the primer. No redo of Steps 2-4 is needed.

7. Remediation actions

Deep reads, most important first:

1. CEFE (book-CEFE-print-070c33), pp.142-152, Opus: Ch.4 Secs 4.1-4.3. Confirm the exact definitions of the "charge density" (−R⁰ᵢᵢ⁰) and the three current-density classes, and show that each is a Ricci component for a Levi-Civita connection. List which line elements the text says failed metric compatibility (Eq. 4.13) or the cyclic identity (Eq. 4.12), and why.
2. CEFE, pp.110-136, Opus: Crothers Secs 3.5-3.11. Summarise and assess each argument (infinite density, escape velocity, two-body, energy localisation and pseudotensor, linearisation, Kretschmann and signature change, Hagihara), and quote the LIGO and Gravity Probe B predictions with their pages.
3. CEFE, pp.49-66, Sonnet: Secs 2.7-2.9. Extract every numerical claim (Faraday disk, Sagnac Δt, g(ECE) with its stated uncertainty, α propagation, Lamb shift formula and the r used, Ch.2 list of 36 advances). Check g and α against the CODATA values and say whether the Lamb-shift radius is stated or fitted.
4. Felker (book-Evans-Equations-Rev3-b8855b), pp.203-250, Sonnet: Chs 9-12. Cover the least-curvature and mV₀ derivation and numbers; the uncertainty "refutations" (microscope, Afshar, Croca); the claimed experimental evidence for B(3); and the electroweak derivation. Does any page show how 78.6 and 89.3 GeV are obtained, and which inputs are assumed?
5. CEFE, pp.276-300, Sonnet: Kasner, generalised FLRW, Eddington-Finkelstein, Kruskal and Einstein-Rosen bridge tables. For each, check whether the printed J and ρ vanish exactly when the metric is a true vacuum solution. Explain why Kruskal shows nonzero Ricci (input with r(u,v) unconstrained?) and why Kasner was plotted at p = (1, −1, 0).

File changes:

• facts.json:
• Update how_read for both books to "digest (all pages) + text layer sampled (sections) + deep reads (pages)".
• CEFE key_claims:
  • add "ECE gives the electron g-factor and Lamb shift without QED; QED precision tests are meaningless";
  • add "LIGO is destined to detect no gravitational waves (2010 prediction)";
  • move the Eddington-precision claim from Ch.5 to Ch.1 and note that Ch.5 accepts light bending.
• Felker key_claims:
  • add "mV₀ = kħ²/c² sets a minimum particle volume";
  • add "W/Z masses 78.6/89.3 GeV obtained without a Higgs";
  • add "B(3) experimentally confirmed via the inverse Faraday effect";
  • record that Felker states Evans did not correct the book.
• claims.md:
• Add a new Claim 7: "ECE reproduces radiative corrections (g-2, Lamb shift) without QED; QED's precision is illusory".
• Amend Claim 2 to include the dated prediction that LIGO would detect nothing.
• Amend Claim 5 to include the minimum-volume relation and the asserted boson masses.
• Note "spiral galaxies from torsion (simulations not in folder)" under Claim 2's dark-matter clause.
• arbiter.md (add a "QE revision" section):
• Claim 2: Crothers's gravitational-wave impossibility becomes Tested, not supported on the strength of the book's own falsified LIGO prediction, and the arbiter answers Secs 3.5-3.9 from deep read 2.
• New Claim 7: Tested, not supported. g(ECE) differs from experiment by 4.2×10⁻⁶, about 5.6×10⁵ σ. The book's α uncertainty is mis-propagated by about 10⁴. The Lamb-shift agreement depends on an unstated r.
• Claim 5: change "no Higgs" to Not testable as stated (masses asserted, no derivation shown, targets 2% off measurement), or justify "Tested, not supported". Address the claimed B(3) evidence and the microscope and Afshar arguments.
• Correct the physicist's "could not have addressed LIGO".
• Cite the Kasner and FLRW tables as direct confirmation of the Ricci identification, and the Kruskal and Kasner inputs as concrete instances of input errors.
• primer.md:
• Section 5 Step C: add one paragraph showing the book's own Kasner printout, J₁ = −p₁(Σp − 1)t^{−2p₁−2}, with a note that (−1/3, 2/3, 2/3) satisfies the vacuum conditions.
• Section 6: add a g-factor row and update rows 2 and 5e.
• Section 7: add "a prediction that was later tested" (LIGO) and "error bars that hide a discrepancy" (the α propagation) as learning points.
• Retag "chemical physicist" as [read].
• Optionally add a check-yourself question on g(ECE) versus experiment.
• physicist.md: delete the garbled "check" phrase. No other change, because Step 2 is not redone under MINOR.
• All files: state the page convention (PDF page versus printed page) once at the top.

Recheck

Checked against the current claims.md, facts.json, arbiter.md ("QE revision" section), primer.md, physicist.md, deep/ and example.py. example.py still runs (exit 0).

Defects

Remediation actions

None of the open items can change a verdict: each is a verification of a point already settled by calculation or by the book's own printed numbers.

Open issues: (1) physicist.md garbled phrase not removed; (2) Secs 2.7-2.9 deep read not run; (3) Kasner, FLRW and Kruskal table deep read not run.

Final: OPEN (3 issues)

Recheck 2

Final: OPEN (2 issues)