Physicist review: John Quincy St. Clair (Hyperspace Research Institute, San Juan, Puerto Rico)

Role: PhD physicist (Step 2). I judge the claims against mainstream physics, state that view specifically, and weigh the Investigator's findings. Tags: [read] from the project documents (extracted text, deep reads, page images via the deep reads), [calc] my own arithmetic (venv Python), [web] from a URL, [memory] from training with confidence.

Source note. The corpus is five US patent applications (published 2003-2006), all self-filed by the inventor, none granted as far as the record shows. They carry no data except one sentence and one photograph in US 2004/0164824. No other person is recorded as testing anything. Web checks: my web-search budget was exhausted, so the medium-confidence [memory] facts below (string-theory dimension counts, CODATA h history, Horsburgh thesis content) were NOT re-verified on the web; they are marked as such.

Symbols used (reader profile: undergraduate level)

• c = 299,792,458 m/s speed of light; G = Newton's gravitational constant; epsilon_0 = permittivity of free space; mu_0 = permeability.
• T^{mu nu} = stress-energy tensor: a table of energy density, momentum density and stress (force per area) of a field. G_{mu nu} = Einstein tensor: a table built from the curvature of spacetime; Einstein's equation says G = (8 pi G / c^4) T, with a tiny coefficient 8 pi G / c^4 = 2.1e-43 s^2/(kg m) [calc].
• g_{mu nu} = metric: the table that defines distances and times; "metric entry g_t,theta" couples time and angle, as in a rotating system (frame dragging).
• Omega (St. Clair's "linear mass of the universe") = c^2/G = 1.3468e27 kg/m [calc: 1.3467e27 with G = 6.674e-11; inventor gives 1.346812891e27, web via FPO 2007/0285325, see research/2026-10-04-freepatentsonline.md].
• "Hyperspace": the inventor's name for a co-dimension (an extra region of space) where physical constants differ, in particular where c is very small.

The five claims, one at a time (questions a-d)

Claim 1. Oppositely wound coils of different radii give a negative "spacetime spring constant" and negative mass, opening a wormhole to hyperspace (US 2003/0197093)

a. Mathematics internally consistent? No. [read: deep read, page images pp.5-7, checked by me against the summary] - The "spring constant" is defined as k = I x (area) x K x B with K = 1/r^2 (FIG. 6-7). In geometry the curvature of a circle is 1/r (units 1/m). Only the non-standard 1/r^2 makes the units N/m. With 1/r the product is newtons [read]. - FIG. 8: k = 1/(r+a)^2 - 1/r^2 = -8/9 for r=1, a=2. The arithmetic is right, but the minus sign on the inner coil is assigned by hand ("triple product of negative signs"), and I, area and B are silently set equal for both coils. Any outer coil larger than the inner then gives a negative number, because 1/(r+a)^2 < 1/r^2. The result says "a smaller circle has larger curvature", nothing about spacetime [read]. - Worked example (mine): r = 1, a = 2: 1/9 - 1 = -8/9. The "tetrahedral angle" match, cos^2(19.47 deg) = 8/9, is built in by choosing outer/inner radius 3, since sin(19.47 deg) = 1/3 [calc: asin(1/3) = 19.4712 deg, cos^2 = 0.8889]. - Negative mass is "inferred" from omega = sqrt(K/M) needing to be real. For K < 0 and M > 0 the motion is not oscillation; it is exponential runaway, which is what a negative spring constant normally means. Nothing forces M < 0 [read; standard mechanics, memory high]. - The metric of FIG. 9 (g_t,theta = B(cos theta - sin theta)) contains none of the coil quantities (I, area, K, a, r=1,3, k). It is a guessed metric with B (tesla) inserted directly into a dimensionless slot. The deep reader's SymPy recomputation gives G_tt = -B^2(1 - sin 2 theta)/[r^2 + B^2(1 - sin 2 theta)]^2, which is never positive; the "two negative mass spikes" are the points where the metric becomes degenerate on the axis r = 0 (theta = pi/4, 5 pi/4), independent of the coils [read: deep read section 7]. Having read the derivation, I agree: the negative "mass" is a property of the chosen ansatz.

b. Consistent with established experiments? No known experiment shows negative mass or traversable wormholes from coils. Real magnetic fields carry positive energy density B^2/(2 mu_0) [memory, high]. In general relativity (GR), a wormhole throat needs "exotic" matter with negative energy density as seen by some observers (Morris and Thorne 1988 [memory, high]); that is a condition on a wormhole, not a recipe that any negative quantity opens one. The Casimir effect gives small negative energy densities in special geometry [memory, high], nowhere near a macroscopic throat.

c. Tested? The application reports no measurement: no current, turns, field in tesla, mass or frequency is ever given [read]. The only "tests" are the inventor's own body-sensation reports in sister filings (see Investigator findings below), which do not isolate the coil effect. Not replicated; no one else is on record as trying.

d. If true: GR's energy conditions would be violated by a laboratory device; conservation of energy and the positive-energy theorems would be in question; and a spacecraft with "hundreds of thousands of g" without crew damage (the claimed inertia-less drive) would contradict the equivalence of inertial and gravitational mass as presently applied.

Verdict (split): - The derivation (spring constant -> negative mass -> wormhole): Internally inconsistent (sign assigned, units fixed by a non-standard K, negative-mass inference backwards, metric unrelated to the coils). - The physical effect (a coil-made wormhole or negative mass): Never properly tested. It was not dismissed after testing; no neutral test exists. Mainstream dismissal rests on theory.

Claim 2. A micron-sized braided gold coaxial cable (radii 8.34 and 7.56 micron) produces "hyperspace energy" (low c, high permittivity); a photograph shows its "white mist" (US 2004/0164824)

a. Mathematics: The four "subspace constraints" are the inventor's definitions. Radii a = 8.342461828 micron, b = 7.559058141 micron come from constraints whose key conversion (log units -14.838 to 0.3596 micron) is not shown; three of the four constraint equations were garbled in text and read from images by the deep reader, who could not reproduce several printed results (see Claim 3) [read]. The physical premise "c = 1/sqrt(mu epsilon), so raise epsilon and c drops" is correct for ordinary dielectric matter (refractive index n = sqrt(epsilon_r mu_r) [memory, high]). It does not turn into "a wormhole to a region of lower c": in a medium c is unchanged in vacuum and only the propagation speed is lower.

b. Established experiments: Slow light in matter is real (group velocities of metres per second were reached in cold atomic gases, Hau et al. 1999 [memory, medium; not re-verified]). That is a property of a dispersive medium, not an extra dimension, and gives no "spacetime pressure". No experiment shows a gold micro-cable emitting anything.

c. Tested: One sentence and one photograph (FIG. 1). The deep reader finds a small, dark, unscaled image of bright cloudy patches with no recognisable cable and no scale; the identification as "braided gold wire coaxial cable and hyperspace mist" is the inventor's caption [read: deep read]. If it is an electron-microscope image, diffuse bright glows are a common charging artefact in scanning electron microscopy (SEM) [memory, high] (a competing explanation, not a finding about this picture). No controls, no second observer, no instrument settings. Not replicated.

d. If true: a medium with permittivity 10^9 times vacuum from nothing but geometry, a new energy source (the application calls it a "generator"), and a modification of Maxwell's equations/GR coupling.

Verdict: Never properly tested (one uncontrolled photograph, no reported measurement; the mist identification is the inventor's). Not dismissed after testing; also not "plausible": the mechanism is unphysical as stated.

Claim 3. The "tetrahedron diagram" (ln mass vs ln wavelength, base constant ln(h/c) = -95.91546344) derives the constants geometrically, shows 10 non-redundant dimensions, and shows the electron and proton are the same particle (US 2004/0164824, 0197093)

a. Mathematics internally consistent? Mostly numerology. From the second deep read, checked in part by me: - The base-constant relation m x lambda = h/c holds for any particle when lambda is its Compton wavelength h/(mc); it is a definition [read; memory high]. Likewise h = 2 pi Lambda Omega Lambda c (with Lambda the Planck length) is a rewriting of Lambda = hbar/(m_P c); true by definition, not a discovery. - ln(h/c) check: [calc] ln(6.62607015e-34) - ln(299792458) = -95.915482. The patent's -95.91546344 differs by 1.9e-5 in the log; the implied h is 6.626195e-34, not a CODATA value I recall (memory, medium, not web-verified). So the "geometric" derivation is anchored to a slightly off measured number. - The nested-radical "Planck scale path" (= 80.1104395) was not reproducible from the printed recipe (deep reader: 80.3027, 0.24% high); the "sum = 1.000000000" identity gave ratio 1.00362; the constant 0.599547652 is "related to fractal dimension" with no definition and is not 2.99792458/5 [read]. - The logarithm of a dimensional quantity depends on the units (kg, m vs g, cm), so any geometric relation among logs is not unit-independent [memory, high]. The patent never addresses this. - The sides {sqrt1, sqrt2, sqrt3} (not sqrt5; correction by the second deep read) and "24 = 2 x (4+4+4), 10 edges" are correct arithmetic; identifying edge traversals with dimensions is asserted. - Printed edge list has 9 entries for 10 edges; "47 pi" for 4 pi is a typographical error [read]. - The attribution to Edward Witten of "24 dimensions, 10 non-redundant": I know of no such statement. Mainstream: superstring theory has 10 spacetime dimensions, bosonic string 26 (24 transverse) [memory, high; web check failed, budget]. Not cited in the patent.

b. Established experiments: The electron-equals-proton claim conflicts with a vast body of data: the proton/electron mass ratio is 1836.15 [calc: 1.6726e-27/9.109e-31 = 1836.2]; the proton has internal structure, shown by deep inelastic electron-proton scattering (SLAC, 1960s-70s [memory, high]); the proton is composite (quarks); lepton number and baryon number are separately conserved to high precision. A particle "entering our universe from hyperspace at two positions" has no measurable difference from the standard picture except that it contradicts those results.

c. Tested: not by the inventor (no measurement). The structure of the proton has been tested thoroughly by others, which contradicts the identity claim. The constants being "derived" is a numerical coincidence claim; coincidences among about ten freely chosen numbers (the inventor chooses edge constants, rules, and conversions) are expected to occur.

d. If true: the Standard Model's particle content, lepton/baryon number conservation and the whole of nuclear and particle scattering data would need re-interpretation.

Verdict (split): - "m x lambda = h/c" and the Planck-box rewriting: Established, but trivially (identities by definition). - "Derives the constants geometrically": Not testable as stated (a post-hoc construction; no prediction of an unknown value), with internal inconsistencies (numbers not reproduced, unit dependence). - "Electron = proton": Tested, not supported (by decades of scattering and decay data, independent of the inventor). - "24 / 10 dimensions": Not testable as stated and misattributed per mainstream string theory (see above).

Claim 4. Electromagnetic stress-energy (crossed static fields, a static field plus a radio wave, or field angular momentum placed in a metric) produces net lift or propulsion as "spacetime curvature pressure", without reaction mass (US 2003/0209637, 2003/0230675, 2006/0145019)

a. Mathematics internally consistent? No, in several independent places [read: three deep reads; the points below I re-derived or checked]. - 0209637: the stress T^{zr} = -E_r E_z/4pi is the ordinary Maxwell shear stress (Gaussian units) and the unit bookkeeping is fine, but the "time lever arm" step multiplies by t to turn it into a "linear momentum", an origin-dependent quantity that is not physical; "imaginary newtons" have no meaning; the SI epsilon_0 and Gaussian 1/4pi are mixed; and T^{zr} contracted with a radial normal gives a z (vertical) force, not the horizontal force claimed. Curvature (Omega, c) enters only in FIG. 3; the force formula (FIG. 9) is plain electrostatics [read]. - 0230675: the "imaginary angular momentum" S = -2iK sin(omega t) results from subtracting complex positions r e^{i omega t} of two counter-rotating charges: -sigma r (e^{i wt} - e^{-i wt}); the physical real parts cancel. A metric must be real; with a real entry the deep reader's SymPy shows G_zz > 0 everywhere and no negative spike, so the "negative curvature" exists only because of the imaginary number. The magnetic-energy formula -L K J^2 A^2 is postulated "by taking a hint", with curvature inserted so units match, and the 1/2 of (1/2) L I^2 is dropped. Using the patent's own definition of turns ("one turn per height of groove", n = 1/h) the sign of dL/dr reverses [read: deep read section 4e, derived from the patent's definitions]. A radial gradient dL/dr also gives a radial, not vertical, force and acts only on parts free to move radially [memory, high]. - 0145019: the printed Faraday tensor omits the wave's magnetic field; the oscillating "lift" and "propulsion" stresses come from that omission. With a consistent field, the force density in vacuum is zero and every static-field/wave cross term averages to zero; the only leftover is radiation recoil P/c [read: deep read summary]. The question the Step 1 reader was given (a force "(1/2c^2) eps0 (E.E_W) E_W") is not in the patent; the patent's own geometry has E perpendicular to E_W so E.E_W = 0 [read].

b. Established experiments and laws: Momentum conservation (Noether's theorem for space translation) is among the best-tested laws [memory, high]. For a closed system, the net force on the system equals minus the rate of change of field momentum inside it; for periodic operation this averages to zero. Forces between a charged cylinder segment and a ring segment are internal pairs. Segmentation moves the pair around but does not remove the reaction on the ring and hull. Radiation can give thrust P/c only: [calc] 3.3 mN per megawatt radiated, 1 MW/c = 0.0033 N. Experiments on "EM drives" and "asymmetric capacitor lifters" (see Related work below) are explained in the mainstream by ion wind, thermal effects and magnetic interactions with the test environment, not by new physics [memory, medium; not web-verified].

c. Tested: No test by the inventor reported in these five filings. In sister filings the inventor reports pendulum motions near an antenna (Investigator, below). Others have tested related lifter and EM-drive devices; I do not cite those results because I did not read them here. Not replicated.

d. If true: momentum conservation or the covariant conservation law of T^{mu nu} for isolated systems would fail, or GR would couple laboratory fields to curvature at 10^43 times the strength Einstein's equation allows (see Claim 5 calculation).

Verdict: Refuted by calculation (strong form). Accepted laws applied correctly (momentum conservation plus Maxwell stress for a closed system) forbid net thrust from internal electrostatic or static-field-plus-wave interactions beyond radiation recoil. Also Internally inconsistent in the details (imaginary angular momentum, missing B_w, vertical vs horizontal force). Weak form (small radiation thrust P/c): Established, but it is not what is claimed.

Claim 5. The force is enormously amplified by "hyperspace permittivity" (stated as a trillion times; the inventor's own speeds give a billion) or by an inductance gradient on grooved rotors acting with negative curvature (US 2003/0209637, 2003/0230675)

a. Mathematics: The permittivity factor is (c/c_hyperspace)^2 with c_hyperspace = 8971 m/s from the tetrahedron diagram. [calc] (299,792,458/8971)^2 = 1.12e9, not 1e12; the stated "trillion" does not match the inventor's own inputs [read, confirmed by me]. The "enclosed reference calculation" is not in the publication [read: pp.1-8]. Whether the force rises with epsilon depends on whether voltage V or charge Q is held fixed; it is not specified. At fixed E, the Maxwell stress scales as epsilon E^2; at fixed Q, the field E scales as 1/epsilon and the stress falls as 1/epsilon [memory, high; my reasoning]. The groove inductance gradient: see Claim 4 (sign reversal; radial force; postulated energy formula).

Worked size estimate (mine): with E_r = E_z = 3e6 V/m (air-breakdown scale) and 1 m^2, the first-term Maxwell shear is epsilon_0 E^2 = 79.7 N, divided by 4 pi = 6.3 N [calc]. That is already the size of the formula "without GR"; multiplying by the inventor's 1e9 would give ~7e9 N, which shows how the claim is carried entirely by the amplifier, not the field. Gravitational coupling check: 8 pi G/c^4 x epsilon_0 E^2/2 = 8e-42 m^-2 [calc]; the curvature of a lab field is of order 1e-41 per square metre, so the "enormous spacetime pressure" of ordinary electric fields is unmeasurably small, which is the very problem paragraph 0022 admits. For the rotor patent, the deep reader's lab-scale estimate gives G S / c^3 ~ 5e-43 m^2 [read: deep read; my [calc] with S = 2.1e-7 kg m^2/s gives 5.2e-43].

b. Established experiments: no measurement of a vacuum permittivity change by magnets or wormholes. The vacuum permittivity epsilon_0 is a defining-scale constant in SI [memory, high; before 2019 exact by definition, since 2019 measured]; its variation by a factor of 1e9 would be seen immediately in atomic spectra and in the fine-structure constant (alpha = e^2/(4 pi epsilon_0 hbar c) [memory, high]).

c. Tested: no. Not by the inventor in the corpus, not by others.

d. If true: the fine-structure constant and atomic spectra would change in the region; a local lowering of c to 1 m/s (stated "could be 1 meter per second") would violate Lorentz invariance as tested to high precision [memory, high].

Verdict: Refuted by calculation for the stated numbers (10^12 from inputs that give 10^9; the force formula contains no curvature, so amplifying curvature cannot amplify it); Internally inconsistent (the sign of the rotor gradient reverses under the patent's own definition of turns). The underlying "hyperspace" mechanism is Never properly tested.

The Investigator's findings, weighed

Kept in the record whatever the verdict (Priority numbers from sites.md):

1. The inventor's own work. - Sister applications (FPO, [web] https://www.freepatentsonline.com/y2004/0200925.html, y2004/0102810, y2007/0285325). These contain the only experiment descriptions: a person spun on a palletizing ring 99 times per day for months, whose right arm reportedly stays raised (US 2004/0200925); "flat bifilar magnetic bucking coils ... rising through the feet", a nine-second rocking (US 2004/0102810); a sonoluminescence rig built from a Feb. 1995 Scientific American kit; pendulum swings beside a clay dome with a slot antenna (US 2007/0285325): alternating three-quarter inch swings every 20 kHz from 20-120 kHz, and "a distance of six inches" at 2.78 MHz against e^14.838168 = 2.7806 MHz from the tetrahedron diagram. [calc: e^14.838168 = 2.78057e6 Hz; wavelength c/f = 107.8 m.] - Physicist's assessment. These are the inventor's own reports of observations; I record them as reported, with their conditions: a hand-held pendulum and an oscilloscope, no blinding, no second observer, no controls, no subject count. They are subjective or uncontrolled, so cannot support the claims at present; they are also the only evidence the inventor offers, and they remain open to a proper test. Points of mainstream interpretation, offered as competing explanations, not findings: (i) an arm held up with no apparent exertion after repeated spinning is a known kind of involuntary muscle response (the "Kohnstamm phenomenon", where a sustained isometric push against a fixed object is followed by involuntary rising of the arm [memory, medium; not web-verified]). I do not know which, if any, explains the inventor's report. (ii) A pendulum bob next to a driven antenna with kilovolt-level drive can be moved by electrostatic and induced forces at any frequency; the match "6 inches at 2.78 MHz vs 2.7806" uses a frequency obtained from a log of a dimensional number (ln of Hz), a unit-dependent construction, and the resonance width is not stated, so a 4-digit agreement is not demonstrated. A 2.78 MHz slot of half-wavelength 54 m cannot be resonant on an 8.5 inch dome, so ordinary antenna resonance would not apply [calc; reasoning]. - Omega = c^2/G = 1.346812891e27 kg/m (US 2007/0285325, [web]) fills the gap for the factor epsilon_0/(Omega c^2) in US 2003/0209637; my check: c^2/G = 1.3467e27 [calc]. This fixes Claim 4's curvature factor and confirms my gravitational-coupling estimate above. - Copyright registrations 1996-2008 (tetrahedron diagram VAu000372532, 1996; "pt. 2" 1998; "Circle Packing of the Physics Constants" TXu001618682, 2008 [web: publicrecords.copyright.gov, per research/2026-10-04-copyright-office.md]). The diagram predates the patents by six years; the deposit copies are the inventor's fullest statement of Claim 3 and I have not read them. Kept as a lead.

2. Supporting information by others. - None found: no replication, test report or endorsement. The one third-party observation the inventor relies on is S. D. Horsburgh's doctoral thesis, as reported by the inventor, a bubble "beaconing" oscillation precessing at about 3 Hz. I have not read the thesis and the web check failed. St. Clair attributes the 3 Hz to frame dragging with f = 2.83 Hz from omega_drag = (4/3)(G/c^2)(m/R) omega modified by the fine-structure constant [read: FPO note]. For laboratory masses G m/(c^2 R) is about 1e-27 (G/c^2 = 7.4e-28 m/kg, m of order 1 kg, R of order 0.1 m) [calc], so ordinary frame dragging cannot give a hertz-scale precession; the modification, the masses used and the actual input are not in my record and I leave this explicitly open. Silence in other sources is not contradiction: the record of dissent is thin because the work was never examined by the field. - Popular commentary (IPWatchdog 2013, unmakeme 2021, Reddit/UFO forums, Ad Noctem 2021) are characterisations by commentators, not tests.

3. Closely related work. - Jefimenko's generalized theory of gravitation / gravitoelectromagnetism: the "co-gravitational K field" uses Jefimenko's term (Wikipedia Oleg D. Jefimenko; [web] https://en.wikipedia.org/wiki/Oleg_D._Jefimenko). Gravitoelectromagnetism is the weak-field limit of GR [memory, high]. This is the best mainstream anchor for the 2007 filing, with the analogy permittivity <-> -1/(4 pi G). In GR the gravitomagnetic field of a lab rotor is again of order G/c^2 times mass currents: negligible. The patents do not use it consistently with the standard G/c^3 factor. - Lense-Thirring frame dragging (rotating shell): St. Clair's drag formula is the standard result's form [memory, high] with a non-standard modification; see above. Frame dragging is measured (Gravity Probe B, LAGEOS) at the milliarcsecond-per-year level [memory, high]. - Examiner-cited prior art for 0197093 (Minovitch US 5052638; Willis US 5305974; Brotz US 6318666; Retter US 2002/0085661) and Google similar documents (JPH04506242A "anti-gravity forces" 1992; US 2005/0109879): the field of EM-based propulsion patents is large; none of those is a validated propulsion technology [memory, medium]. - Pais (US Navy) applications on inertial mass reduction: also propose engineered EM energy density producing spacetime effects. Not compared here; no tests of Pais's claims are known to me [memory, medium]. Related experimental families (asymmetric capacitor "lifters", EM-drive tests) are the mainstream's closest tested cousins; I do not summarise their results without reading them. - Bifilar/bucking coils (Tesla bifilar, "caduceus"): an old fringe family; a non-inductive bifilar winding has near-zero net magnetic moment and is used to cancel inductance [memory, high]; in a flat bifilar coil the net external field is small, which is the opposite of an effect that "rises through the feet".

4. Historical record. - All checked applications are abandoned; 0197093 was examined (examiner citations) [web: Google Patents]. File wrappers would show why each lapsed: the main record to fetch next. The record goes quiet after 2008 (last copyright 2008-03-17; last filing 2006-06-07). The Investigator sets out competing explanations: a one-person effort that stopped; relocation to Madison, WI with private continuation; death or incapacity (no obituary found; an anonymous Reddit snippet about a father is not about him). I add the physics-relevant one: with no assignee, no funded lab and self-filing, the inventor's devices were never tested by anyone able to measure them; the absence of a record is an absence of testing, not a negative test. Records that would decide: Puerto Rico corporate registry, Copyright Office name search after 2008, obituaries, USPTO file wrappers (correspondence-address changes).

Corrections to Step 1

1. Step 1 (deep read of 0164824, first pass) gave the planar tetrahedron sides as {sqrt1, sqrt2, sqrt5}; the second deep read corrects to {sqrt1, sqrt2, sqrt3}, and gives ln(lambda_e) = -26.74463127 (not about -26.4). facts.json/claims.md do not repeat the error; the deep file contains both versions, so later steps should use the corrected one.
2. facts.json says the "photograph shows no identifiable cable" and offers SEM charging as an explanation; that is a competing explanation, not a finding, and I keep it labeled that way. The photograph itself should be viewed by the reader; I did not render it again.
3. claims.md Claim 5: "stated as about a trillion times; the inventor's own two speeds give about a billion": confirmed [calc: 1.12e9]. It would be more accurate to say the stated factor is inconsistent with the inventor's own inputs by a factor of about 900.
4. facts.json for 0230675 and claims.md describe the metric "imaginary angular momentum" as the key; I confirm it, and add that with a real entry the Einstein-tensor component G_zz is positive everywhere and no negative spike appears (deep reader's SymPy, not re-run by me).
5. Claim 3 in claims.md says the diagram "shows 10 non-redundant dimensions and derives the constants"; on inspection the diagram's inputs include the measured constants (h, c, electron and proton masses, Planck mass), and the value of h used (implied 6.626195e-34) is about 1.9 parts per 100,000 off CODATA 2018. Part of the "derivation" is therefore the measured values re-expressed, not derived from geometry. The base-constant ln(h/c) check: [calc] -95.915482 vs patent -95.91546344.
6. The facts.json claim for 0197093 about "Lightning-induced merging of objects into wood and metal" is a motivating anecdote with no source, date or place [read]; I mark it Not testable as stated (no case is specified), not a physics claim to refute.
7. The Investigator's lead that "Ω fills the gap for 0209637" is correct, but the gap was not material to the physics verdict: the 0209637 force formula (FIG. 9) does not contain Omega at all.

Summary table