Wheeler-Ken: Science Contrarian review (Step 2)

Reviewer: Science Contrarian. Standard: judge by experimental evidence, not by consensus or reputation; say whether a claim was tested and failed, never properly tested, or dismissed without testing; build the strongest honest case; hold the inventor to the same rigour as the critics. Source: Ken L. Wheeler, Uncovering the Missing Secrets of Magnetism, 3rd ed., 25 Sept 2014 (236 pp., magnetism1small.pdf) [read]. Tags: [read] = the document or project files; [web] = URL given; [memory] = recall with confidence; [calc] = computed here.

Symbols used: phi (golden ratio, (1+sqrt5)/2 = 1.618034); gamma (gyromagnetic ratio, a particle's magnetic moment divided by its spin angular momentum); B (magnetic flux density, tesla, T); chi (magnetic susceptibility, how strongly a material magnetises in a field; negative for diamagnets); R (radius of a disc or cylinder magnet).

0. Summary of verdicts

# Claim (short) Verdict
1 Magnetic attraction does not exist; it is "dielectric voidance" Split. Strong form (force on iron is a dielectric effect, not magnetic): Tested, not supported (by routine, independent measurements, not by Wheeler-specific tests). Renaming form ("voidance" as another name for attraction): Not testable as stated. Never tested by Wheeler himself
2 Magnet field is a magneto-dielectric hyperboloid / Poincare-disk double vortex with a "dielectric inertial plane" = Bloch wall Split. Geometric vocabulary: Not testable as stated. Measurable parts (swirl of B, spiral lines, Bloch wall identification): Never properly tested by Wheeler; standard magnetostatics predicts none; the Bloch-wall identification is a misreading
3 phi fixes the geometry: 42.4923 "angle and MHz/T", 3.23606:1, 137.5077 degrees Split. Replacement of the proton gamma/2pi: Refuted by calculation (units, and 0.2 % from a measured constant). Internal arithmetic: Internally inconsistent in places. "Field lines follow the golden angle": Never properly tested (drawings only)
4 Fixed field-boundary radii 0.236 R, 0.382 R, 1.236 R Split. Height-independent reading: Refuted by calculation. Ferrocell-ring reading: Never properly tested (cheap to test)
5 Mainstream foundations wrong (no electrons, photons, relativity; Newton I; "C squared"; Z-axis dielectric light) Split. Rejections of electrons, photons, relativity, quantum mechanics: Tested, not supported (the opposite is supported by a century of experiments). "C squared" as a speed: Internally inconsistent (units). "Z-axis radial dielectric component of light": Not testable as stated
6 Demonstrations confirm the model (ferrocell, RGB LED, "programmed" bismuth, resting positions, Tinmanpower, vortex technology) Never properly tested: no controls, no numbers. One partial third-party test (Gardi 2020) of a related video claim: Tested, not supported. Not dismissed without testing so much as ignored: no neutral test was ever requested or run

Short version of my stance: the book contains almost no measurement, so most of it can neither be confirmed nor refuted by Wheeler's own evidence. Where it does make numerical or measurable statements (claims 3, 4, 5 and the proton value), they fail on checks anyone can run. The most interesting experimental residue is claim 6 (bismuth casting, ferrocell colour separation), because those are physical effects that may be real while the explanation offered is not.

1. Corrections to Step 1

  1. claims.md and facts.json treat pp.97-111 (bismuth) and pp.133-142 (RGB LED, resting positions) as "digest only". I read the full text layer of both ranges myself [read: pp.97-111, 131-142]. Page images were not examined for these pages (figures may carry labels the text layer lacks). The text yields details the Step 1 files lack: - The "programmed" bismuth caption (p.99) reads: "Single disk levitation of 3mm N45 cube neodymium with 1" cube N50 5 inches above. On right identical setup using standard bismuth 'non-programmed' disk with same lifter magnet, with resultant much lower levitation. This is a wholly new discovery of bismuth casting with applied charge and field in casting." [read: p.99]. So the 3 mm cube is not held 5 inches above the disc by the bismuth. A 1-inch "lifter" magnet sits 5 inches above (the sentence is ambiguous on what the 5 inches is measured from) and does most of the lifting; the bismuth only stabilises. facts.json's wording "levitates a 3 mm neodymium cube 5 inches above it" (and claims.md "a magnet unusually high") overstates what is claimed. "Applied charge and field in casting" is the only description of the "programming"; no voltage, field strength, temperature, mould or pour details are given [read: pp.99-100]. - The RGB LED chapter says "Second and third party testing has confirmed my discovery" and that Vanderelli "has confirmed this phenomenon has never been seen before" (p.133). Both are Wheeler's statements; the only named confirmation is Kris Lang's photograph (p.136). Wheeler also writes that blue "requires longer exposure times to be visible by the camera" (p.133) and "Exposure times of the camera must also be considered" (p.135): exposure was varied by colour. facts.json calls the result "white light along the plane and red/green along the poles"; p.133 also says blue is "almost not present along either pole". [read] - He says the result is "just as the Faraday effect would predict" (p.133). The Faraday effect is rotation of the plane of polarised light in a medium in a field; it is not a colour separation by itself. [memory: high]
  2. Bismuth chapter claims that Step 1 did not capture and that bear on verdicts: bismuth-209 "half life of 20 billion billion years", "however this conclusion is spurious" / "false" / "based upon a false premise" (pp.98, 99, 103, 109); "Bismuth also exhibits overunity since its 209 nucleus has a higher energy state than the sum of its components ... Meaning bismuth breaks the rule of conservation" (p.103). See claim 6 below. [read]
  3. CODATA value. facts.json and the deep read cite proton gamma/2pi = 42.5775 MHz/T. The current NIST value is 42.577 478 461(18) MHz/T [web: https://physics.nist.gov/cgi-bin/cuu/Value?gammapbar]. The conclusions are unchanged. Wheeler's "published" 42.5781 matches neither this nor the shielded-proton value to four decimals [read: p.46; web].
  4. The pp.43-53 deep read says "42.5 x Phi = 68.7539" is a slip because 42.5 x phi = 68.766. Confirmed [calc]. The pp.149-156 deep read's table of where the axial field changes sign is confirmed by my independent Biot-Savart integration (below, claim 4).
  5. The claims.md coverage note says a deep-read passage refers to an earlier "pp.97-111" section that is not in deep/. Confirmed: grep of deep/ finds no such section. The bismuth chapter had no deep read; my reading above is the first.
  6. The Investigator's sites.md "Corrections to earlier documents" (2nd edition exists, 1 July 2014, lacks the bismuth/RGB/formula material) is accepted. I did not open the 2nd-edition PDF myself; I rely on the Investigator's text-layer search of it [read: sites.md].

2. What the Investigator found and how I weigh it

All kept in the record whatever the verdict.

  • Wheeler's own later work (Substack, 2025-2026) [read: research/2026-10-08-substack.md]: "The phenomenon called 'magnetic attraction' is absolutely not magnetism whatsoever; rather is identical to the phenomenon called gravity" (2025-07-04). In 2014 the same phenomenon was "dielectric voidance" caused by dielectricity. A claim that changes its stated mechanism over a decade with no new data is not being tested against anything. Also: "The plane of inertia is the dielectric 45 degrees from magnetic flux and 90 degrees from gyromagnetic precession" (2025-01-03): this gives the "plane" an angle the 2014 book lacks. I found no measurements in the posts the Investigator grepped. The author is promoter and seller (donation requests), a stake.
  • 2nd edition (1 July 2014, 110 pp): contains 42.4923 and 137.5077 already; the demonstrations and the 7-28-2014 formula were added for the 3rd edition. The numerology came first; the "empirical confirmations" were added afterwards. That ordering matters: the golden-ratio numbers were not extracted from the demonstrations. [read: sites.md]
  • Videos: "VIDEO 73 M-D-Programmed Bismuth" (2014-08-17) and "Magnetic Egg" (2015-05-10, probably the p.234 ice photograph). Not watched by the Investigator or me. These are the primary records of two demonstrations and are leads for anyone who wants a test: the description of the apparatus in video form may be fuller than the book's. [web: https://www.youtube.com/watch?v=LeQ057E8v5w ; https://www.youtube.com/watch?v=GwG1p5C5miQ]
  • Gardi (FractalWoman), 2020 [read: research/2026-10-08-cnps-wiki.md, a secondary wiki summary; the video itself not watched]: homemade Hall-sensor gauss meter (sensor plus voltmeter), south pole always, same sensor face, nearly all N42 magnets. Same maximum surface reading, 1.44 V, for a 1 x 1 inch cylinder, a 2 x 2 x 1 inch block and 5 mm magnets; zero located at the "dielectric inertial plane"; stronger grade does not give greater "throw"; "Wheeler's claim, on her measurements, does not hold." She keeps Wheeler's vocabulary. This is the only third-party measurement on record with stated instrument and controls, by a sympathetic researcher. My reading: (a) the grade result is what dipole physics predicts. Far from a small magnet, B falls as 1/distance^3 and scales with the magnet's moment, so the distance at which a fixed reading occurs scales as (moment)^(1/3). N52 versus N42 differ in remanence (Br, the field the material keeps) by roughly 10 % [memory: medium; N42 about 1.3 T, N52 about 1.45 T], so the throw changes by about 3 to 4 % [calc], below what a homemade sensor resolves. Wheeler's implied claim of a visibly greater throw is therefore not what mainstream physics predicts either, and it fails. (b) The identical 1.44 V maximum for a 5 mm magnet and a 2-inch block is suspicious: surface field does depend on magnet shape, so an identical maximum may mean the sensor or voltmeter saturated (inference; not checked). This is a flaw I would want excluded before using her number as evidence for anything.
  • Tufaile et al. (University of Sao Paulo), with Vanderelli and Snyder, 2017-2025 [read: research/2026-10-08-google-scholar-ferrocell.md; Tufaile ferrocell guide in research/files]: peer-reviewed ferrocell optics. "Horocycles of Light in a Ferrocell" (Condensed Matter 2021) interprets ferrocell images as analogous to "a Mobius transformation by inversion of the magnetic field" and as horocycles of hyperbolic geometry [web: https://www.mdpi.com/2410-3896/6/3/30]. This is genuinely related to Wheeler's Poincare-disk language, in different words, and Wheeler is not cited. The guide says: "the tangent of the Ferrocell pattern lines ... are perpendicular to the lines of the magnetic field", the lines "can cross each other" unlike field lines, and "the light patterns we see at Ferrocell are magneto-optical effects and not just magnetic effects" [read: guide pp.65-68 per the Investigator]. I also read in the guide: the ferrofluid film behaves "like a diffraction grating molded by the magnetic field", and the pattern "has a yellowish color ... related to absorption of light by the ferrofluid solution. Absorption becomes more intense for colors with lower wavelengths, such as blue, and less intense for higher wavelengths, such as red" [read: guide, text layer lines near "yellowish"]. That passage is a ready mundane account of Wheeler's RGB result (blue weak, red strong), see claim 6. Stake: Vanderelli sells the Ferrocell and co-authors.
  • Dollard (two PDFs) as the source of the magnetic/dielectric conjugate pair, and Adams (Physical and Ethereal Spaces) as the likely source of "counterspace" [read: sites.md]. Not read by me beyond the Investigator's notes. This places Wheeler inside a lineage (Heaviside, Steinmetz, Dollard) and gives the reader the way to check whether his usage matches theirs.
  • Ufopolitics, Energetic Forum 2015 thread "Full Proof of Ken Wheeler's Theories": an induction test with no moving magnet or coil (an iron cylinder dropped onto a fixed magnet). Pages 2-27 unread by anyone so far. Open lead [read: research note].
  • Tinmanpower (Australian electrician, channel now "Does it Work"): Wheeler's 2026 account says tests "proved ... 100% accurate" a vortex around every side of a magnet, also for an electromagnet, after which "over 100 people on the forum went silent" [read: research/2026-10-08-youtube.md]. It is Wheeler's account of third-party videos; videos not viewed. No quantity measured is stated in the book either (p.226).
  • Historical record: no Wheeler patent; no peer-reviewed publication by Wheeler found; 4th edition announced "very soon" in 2014 and still pending in 2018 and 2026. This is a record that goes quiet where it would be expected to continue. Competing explanations (Investigator's and mine): the work moved to videos and Substack; the 4th edition is a long version listed by booksellers (unchecked); abandonment; or the author has no wish to submit to review (the book treats credentials and degrees with hostility, pp.9, 11 [read]). The record that would decide: the Amazon listing's page count and edition and the 67 MB kathodos "magnetism" file of 2015-10-14, both noted by the Investigator.

3. Claim-by-claim review

Claim 1. Magnetic attraction does not exist; attraction is "dielectric voidance", repulsion "dielectric counter-voidance"; a magnet is an electrified dielectric object (pp.3, 8, 26, 54-56, 96, 138)

a. Mathematics. There is almost none. The only formula is "D.V. = M1 x M2 / Distance^2" (p.30) [read: page image p.30], offered as "Newton corrected". D.V. is never defined or given units; the right side is Newton's gravitational form with the constant G dropped. For two magnets the far-field force falls roughly as 1/distance^4 (dipole-dipole), not 1/distance^2 [memory: high; Griffiths ch. 6], so the formula does not describe magnet pairs even in its own terms. The text also defines inertia so that an iron object accelerating toward a magnet is "decreasing movement" (p.30). Internal tension: "Radiation attracts nothing" while "magnetism is reaching out in space" (pp.8, 12) [read]. I cannot call it inconsistent mathematics because there is no mathematics to check; it is a verbal scheme.

b. Experiments it must meet. (i) The force on a magnetic moment m in a field gradient is F = grad(m . B). Stern and Gerlach (1922) deflected neutral silver atoms in a field gradient: a neutral atom, no bulk dielectric to void, deflected by its magnetic moment [memory: high; not web-checked]. (ii) A magnet's pull on iron depends on the iron's magnetisation, not on its permittivity; the pull is unchanged when the gap is filled with oil or water of very different permittivity (water about 80 times vacuum, oil about 2) but different permeability only matters via mu [memory: medium; stated as expectation, not a source]. (iii) Heating a magnet above its Curie temperature kills both its pull and its ferrocell pattern, with no loss of any "dielectric" property that has been measured [memory: high]. I name these as the experiments the claim must survive; none is described as having been run on Wheeler's version. Wheeler gives no experiment that distinguishes voidance from attraction. A discriminating test would be to vary the permittivity of the gap material and measure the pull force with a balance. Not done.

c. Tested? By Wheeler: no controlled test of "voidance" versus attraction appears in the book. By others: nothing specific to his claim. The mainstream account is tested every day in force measurements, motors and magnetometers, but those are not tests of Wheeler's alternative, so I do not count them as a refutation of his wording. They do show that the strong form (a dielectric cause) has no support and that a magnetic-moment description predicts the measured forces. Dismissal: ignored rather than tested; there is no record of a neutral test being refused.

d. If true. Every measurement of magnetic moments and forces (Stern-Gerlach, NMR, magnetometry, motors, magnetic bearings) would have to be re-derived from a dielectric quantity; the Lorentz force law and the magnetic dipole force would be wrong as descriptions of the forces. Wheeler gives no replacement predictions.

Strongest honest case. (1) Force on a magnet is a gradient of energy, and "attraction" and "repulsion" are signs of one quantity; saying "there are not two forces" is correct. (2) Maxwell's "conjugate pair" (electric and magnetic fields tied by 1/c^2 = mu0 x epsilon0) is real and Steinmetz and Heaviside built engineering on it; Wheeler is drawing on that lineage. (3) His late (2025) shift to "attraction is identical to gravity" is no better supported, but it shows that the claim as originally stated was not carried by an experiment. Inventor's own bad data and logic: the claim is unfalsifiable as written (any force is "voidance"); the "gatekeeper" and "retroduction" passages (pp.8, 10) put the conclusion before the evidence ("working backwards from the desired conclusion" in my words; his: "retroduction works backwards from what is known to the answer", p.10 [read]).

Verdict: Strong form: Tested, not supported (by existing independent measurements; no Wheeler test on record). Renaming form: Not testable as stated.

Claim 2. The field is a "magneto-dielectric hyperboloid", a double vortex following the Poincare disk; the "dielectric inertial plane" at the equator is the Bloch wall; space is "only a posterior attribute of magnetic divergences" (pp.58-74, 112-127, 186)

a. Mathematics. The standard geometry reproduced is correct: t^2 = x^2 + y^2 + 1, projection onto the unit disk, orthogonal-arc geodesics, the complex-conic identity (p.117). Errors: the p.125 metric lacks the factor 4; the one-sheet hyperboloid pictured for the magnet is not the two-sheet hyperboloid of the Poincare construction; "0 = 1 = infinite inertia" read literally is a contradiction; "an accelerating body loses inertia" (p.113) against "increasing movement ... increasing inertia" (pp.116, 119) [read: deep read pp.112-127]. No step connects hyperbolic geometry to the magnetic field equations; the connection is by picture. The base quantity, inertia/Ether, "cannot be measured" (pp.116, 117, 123 [read]), which removes it from testing.

b. Experiments. The field outside a magnet in free space has zero curl (curl B = 0 where there is no current) and zero divergence; for an axially symmetric magnet the lines lie in planes containing the axis by symmetry, so a swirl (azimuthal) component of B is not expected [calc/standard: Griffiths ch. 5-6]. The Bloch wall is a boundary between magnetic domains inside the material, tens of nanometres thick [memory: high]. It is not an equatorial plane of the outer field. A Hall probe finds the axial component zero on the equator because of symmetry, which Gardi's "zero" measurement may simply be [inference]. The Tufaile papers do describe ferrocell images with hyperbolic geometry, as an optical model of light, not of the field itself [web above].

c. Tested? Not by Wheeler: no measurement of a swirl component, no three-axis field map. Gardi's Hall-sensor work finds a zero at the equator while using his vocabulary; that locates a plane, not a vortex. Not dismissed; not tested.

d. If true. A magnet would carry a circulating medium whose pattern is not captured by Maxwell's equations; three-axis Hall maps of magnets would show an azimuthal field component; domain-wall physics (imaged directly by Kerr microscopy and magnetic force microscopy [memory: high]) would be misidentified.

Strongest honest case: the iron-filings picture is a 2D slice and does mislead about three-dimensional field geometry; Wheeler himself concedes the filings "show the direction of the magnetic flow" (p.26 [read]). The Tufaile group's horocycle work shows that hyperbolic geometry is a useful description of certain ferrocell images, so his instinct that hyperbolic geometry appears is not baseless. Inventor's flaws: the book never says what quantity a "vortex" is a vortex of.

Verdict: Geometric vocabulary: Not testable as stated. Measurable parts (swirl, spiral lines, Bloch-wall identification): Never properly tested; the Bloch-wall identification is a misreading of what a Bloch wall is.

Claim 3. phi fixes the geometry: the proton "gyromagnetic ratio" and ideal precession angle 42.4923, maximum precession 68.7539 degrees, dielectric:magnetic 3.23606:1, golden angle 137.5077 degrees with an 85-degree sector (pp.43-51)

a. Mathematics. Each number is constructed, not measured: 137.5077 = 360/phi^2; 68.7539 = 180/phi^2; 42.4923 = 180/phi^3; 21.246 = 90/phi^3; 3.23606 = 2 phi; 85 = 360/phi^3 = 84.98 rounded [calc, confirmed; deep read pp.43-53]. The algebra of phi is right. Errors the deep reader recorded, all of which I accept: "42.5 x phi = 68.7539" (should use 42.4923); 42.4932 on p.49 against 42.4923; 21.23606 on p.51; 137.52788; "360/85 = 4.23606" (it is 4.2353; true only for the unrounded 84.9845); "85 is to Phi as Phi is to 1" (false literally, but true in his mapping 85 degrees = "1", 137.5 degrees = "Phi"; the deep read's later note refines this); "137.5077 = Phi" and "68.7539 = 1" whose ratio is 2, not phi; "omega = gamma e H" counts the charge e twice and has wrong units (rad/s would become rad C/s). Unit problem at the core: gamma/2pi is a frequency per tesla (42.58 MHz/T), an angle in degrees is a different physical dimension, and a number "42.49" is the same in both only by an accident of unit choice. In rad s^-1 T^-1 the proton value is 2.675 x 10^8 [memory: high].

b. Experiments. gamma/2pi of the proton is measured to 4 parts in 10^10: 42.577 478 461(18) MHz/T [web: https://physics.nist.gov/cgi-bin/cuu/Value?gammapbar]. Wheeler's 42.4923 is 0.2 % low: 42.5775 - 42.4923 = 0.0852 MHz/T. At 3 T (a common MRI field) that is a resonance offset of 0.0852 x 3 = 0.256 MHz [calc], thousands of times a typical NMR line width of order hundreds of Hz to a few kHz [memory: medium]. Every NMR and MRI instrument is built on the measured value. His "published as 42.5781" matches no source. A bulk magnet's field comes from electron spins and orbital moments; the proton moment is about 1/658 of the Bohr magneton [memory: high], and iron-56 has zero nuclear spin [memory: high]. So "Larmor precession of the protons makes the magnet" does not match the known origin of ferromagnetism. The cone angle of Larmor precession is whatever the tipping pulse made it; there is no preferred 42.5 degree angle (the spin-1/2 quantum "magic" angle is 54.74 degrees [memory: high]).

c. Tested? Wheeler offers no measurement of any precession angle, frequency or ratio from a magnet: no pickup-coil signal, spectrum or instrument. The "photographs" are drawings, a sunflower, a computer torus, and a printed moire. The statement that field lines follow the golden angle (pp.49-51) rests on pictures that are not measurements of a magnet's field [read: deep read pp.50-53]. The genuine ferrocell images show rosettes whose circle count the deep read says follows the number of light sources [memory: medium; not checked by anyone here]. That would be a quick test.

d. If true. NMR and MRI would be mis-tuned by 0.2 %; Penning-trap proton moment measurements (BASE, CERN) would be wrong; the Standard Model's own anomalous-moment calculations are irrelevant to him but would collapse with it.

Strongest honest case. (1) The golden ratio does appear in magnets in a measured, quantitative way: in the Ising-chain magnet CoNb2O6 the ratio of the two lowest excitation energies approaches the golden mean (an emergent E8 symmetry) [web: Coldea et al., Science 2010, summarised at https://arxiv.org/abs/1103.3694; I could not confirm the exact measured number from the search results]. That has nothing to do with Wheeler's mechanism, but it shows that "phi in magnetism" is not absurd on its face, and a good deal of research on spiral patterns in plants shows the golden angle emerging from packing rules. (2) His honest statement that precession is "nothing of my discovery" (p.44). (3) The numerology is internally close-fitting in places. Against it: the numbers predate every demonstration (2nd edition), a pattern typical of a construction in search of a physical meaning.

Verdict: Replacement of the proton gamma/2pi by 180/phi^3: Refuted by calculation. Arithmetic slips: Internally inconsistent. Field lines follow 137.5 degrees: Never properly tested.

Claim 4. The "Magnetic & Dielectric Field Formula" (7-28-2014): mean field boundaries at C4 = 0.23606, C1 = 0.381966, C3 = 1, C2 = 1.23606 of the magnet radius, for aspect ratios 1 to phi, cubes and spheres (pp.149-156)

a. Mathematics. The radii are phi^-3, phi^-2, 1 and 1 + phi^-3 = 2/phi, all exact [calc]. Captions disagree: "C2 + C3 = Phi cubed" fails in either unit choice; "C1 + C2 = Phi cubed" holds only when C1 = 1; C2 is labelled "Phi 1.618033" on p.152 but drawn and computed at 1.236; "85/360 = Phi cubed" is inverted; the 108-36-36 triangle is not what the p.155 drawing contains (its corner angles are 111.25 and 103.13 degrees). "L to H" is not defined. The word "hypotrochoid" is used with no equation or parameter [read: deep read pp.149-156].

b. Experiments. Standard magnetostatics treats a uniformly magnetised cylinder as a current sheet around its side wall. I integrated the Biot-Savart law numerically over that sheet [calc; script in scratchpad] for a cylinder of radius R and length 2R (L/D = 1), top face at height 0. The radius at which the axial field B_z changes sign at height h above the face is: h = 0.10 R: 1.26 R; h = 0.25 R: 1.56 R; h = 0.50 R: 1.97 R. This reproduces the deep reader's table (1.26, 1.55, 1.97). So a ring at 1.236 R is a feature at one height only, about 0.1 R above the face; it moves outward as the plane rises. The standard model has no feature at 0.382 R or 0.236 R. A formula that gives fixed ratios independent of height therefore conflicts with magnetostatics; a formula that gives them at one unstated height is not a magnet property.

c. Tested? Wheeler's evidence is ferrocell photographs without scale, gap or lighting (pp.150-151), a drawing called "empirical demonstration" (p.153), and a pentagon laid on a ferrocell picture. No gaussmeter reading appears. Independent: none. The test is cheap: scan B_z across a disc magnet with a Hall probe at heights 0.05, 0.1, 0.25, 0.5 R and look for a fixed zero ring; photograph a ferrocell at several gaps with LED rings of different LED counts and measure ring radii in units of R. If ring radii follow the gap and the circle count follows the LED count, the rosette is an optical effect of the set-up.

d. If true. The field of a cylinder magnet as computed from magnetisation would be wrong in shape, as measured by Hall maps.

Strongest honest case: he specifies an exact, falsifiable prediction (fixed ratios) and says it applies to a stated shape range; that is more than most of the book offers. The 1.236 R sign-change position does match the standard calculation at a small height, which is why a casual Hall-probe scan near the face might seem to confirm it. Inventor's flaws: the mean is not defined; "the field extends both further and shorter" (p.152) hedges the prediction away; the pages describe three differently normalised units of "1".

Verdict: Height-independent reading: Refuted by calculation. Ferrocell-ring reading: Never properly tested.

Claim 5. Mainstream foundations are wrong: no electrons, negative charges, photons or warped space; relativity and quantum mechanics false; Newton's first law wrong; "C squared" limits spatial motion but not "longitudinal" fields; Ether restored; light has a Z-axis radial dielectric component; the photoelectric effect "corrected" (pp.8, 16, 29-34, 113-125, 207-219)

a. Mathematics. "C squared" as a speed limit has units of m^2/s^2, not velocity (p.115-118 [read]). Dollard's "one over c square" (p.32) is the genuine relation mu0 x epsilon0 = 1/c^2 between the constants of vacuum permeability and permittivity; Wheeler turns a product of constants into a speed. The p.35 field definitions assign "Dielectric field = Phi/(L x T) (Weber per centimeter-second)" and "Magnetic field = Psi/(L x T) (Coulombs per centimeter-second)", reversing the quantities' natural names [read: deep read pp.1-42]. Energy claims: "a terawatt of power can vanish with no resultant effect" through grounding, and a body decelerating from 1000 mph with no momentum change (p.33 [read]), contradict conservation of energy and momentum; bismuth "overunity" because "its 209 nucleus has a higher energy state than the sum of its components, which would be of thallium 205 and helium-4" (p.103 [read]) is a misreading: that positive decay energy (3.14 MeV [read: p.103]) is exactly why bismuth-209 alpha-decays, and conservation is not broken.

b. Experiments. Electron: charge and mass measured in the Millikan oil-drop and cathode-ray deflection experiments; the electron g-factor is measured and calculated to about ten digits [memory: high]. Photon: photoelectric effect has a threshold frequency and a stopping potential that depends on frequency, not intensity [memory: high]. Relativity: the speed of light is independent of the source velocity and of direction (Michelson-Morley and successors), muon lifetimes in flight, GPS clock corrections [memory: high; none web-checked in this run]. These are accepted here as mainstream statements for the physicist to weigh, not as new findings. On the Ether, Wheeler's own quoted authorities include Laughlin's "modern concept of vacuum space ... is a relativistic Ether" (p.32 [read]); that sentence is about the quantum vacuum as a medium with properties, not a stationary substance, and does not support a mechanical Ether with a Z-component. On bismuth, the half-life "20 billion billion years" which he calls false (pp.98, 99, 103, 109) is not a calculation: it is an observation. The Orsay group registered 128 alpha events in 5 days with a scintillating bolometer, with two bismuth masses (31 g and 62 g) and a line at 3.14 MeV, giving (1.9 +/- 0.2) x 10^19 years [read: p.103; web: https://physicsworld.com/a/bismuth-breaks-half-life-record-for-alpha-decay/ and https://ideas.repec.org/a/nat/nature/v422y2003i6934d10.1038_nature01541.html]. Wheeler says the conclusion "was based upon a false premise and understanding" and gives no reason or data. Applying to him the rigour he demands of others: a direct count is rejected with no counter-measurement.

c. Tested? Mainstream positions: tested extensively; there are hundreds of experiments and I do not catalogue them here (a physicist's job; I record only that no dismissal here came from a neutral test of Wheeler's alternative). Wheeler's alternatives: none tested because none makes a measurable prediction. The "Z-axis radial dielectric component of light" is the clearest candidate (a longitudinal electric component along the beam): the book's p.233 plate gives no equation and does not define it in terms of D, E or P; optical-vortex (twisted-light) beams, which he claims depend on it (p.228), are explained by orbital angular momentum with transverse vector fields (Allen et al. 1992 [memory: high]; real, but a tight focus does produce a small longitudinal field component in standard theory [memory: high], a point Wheeler does not use). Newton's first law: the book says no body is at rest and none moves in a straight line (p.113); that is a statement about idealisation, and does not change the definition of an inertial frame.

d. If true. All of atomic physics, spectroscopy, electronics (transistors rely on electrons and holes), relativity-corrected GPS and the particle-physics record would have to be re-derived. No replacement quantitative theory is given, so none of those can be compared.

Strongest honest case. Wheeler is right that: (1) vacuum has electromagnetic properties and 1/c^2 = mu0 epsilon0 is a real link between "dielectric" and "magnetic" quantities; (2) electromagnetic energy flows in the space around wires, not inside them (the Poynting vector); his Dollard quote that the energy lies "in the space between those lines" (p.15) is the textbook Poynting picture; (3) SEM images do show a coated sample and are not photographs, and charge or "negative" is a convention [memory: high]. These are real, standard points embedded in a much larger rejection of the experimental record. Inventor's flaws: abusive tone toward Einstein and Feynman (pp.11, 29), claims such as "idiots with degrees ... like the Pope" (p.11) that replace argument; selective quotation (Einstein cited for the Ether while condemned); several unsourced quotations (the Tesla "Ether is the cause of every magnetic field" paragraph, p.33; the Faraday "one-fourth" remark, p.30).

Verdict: Rejection of electrons, photons, relativity, quantum mechanics, conservation of energy: Tested, not supported. "C squared": Internally inconsistent. Z-axis dielectric light: Not testable as stated.

Claim 6. Demonstrations confirm the model and promise technology (ferrocell and ferrofluid patterns; RGB LED discovery of 18 June 2014; "programmed" bismuth; objects resting at the "gyromagnetic precession angle"; experimenters' vortex videos; "vortex technology") (pp.22-25, 97-111, 133-142, 162-176, 226-228)

a. Mathematics. Not applicable: these are demonstrations. The one quantitative remark is "25+ second window" on the vortex in his suspension (p.22) and the 5-inch bismuth levitation.

b. Experiments and the mundane explanations that must be excluded. - Ferrofluid spikes: he says they are "not due to fluidic surface tensions" and that cone size gives magnetic strength and velocity (pp.22-23). Spikes in a ferrofluid pool in a vertical field are the standard Rosensweig (normal-field) instability, a balance of magnetic energy against gravity and surface tension [memory: high]. He claims to see them regardless of gravity; no space or neutral-buoyancy test is shown. - Ferrocell patterns: real, reproducible (Tufaile et al.), but the group reads them as light scattered or diffracted by chains of nanoparticles aligned with the field, "magneto-optical effects and not just magnetic effects", with ring lights producing a rosette of circles [web/read above]. Vanderelli's own wording (quoted by Wheeler, p.4) says "in agreement with Maxwell's Equations" and does not mention Wheeler. The images exist; the dispute is what they show. - RGB LED (pp.133-136): white light along the equator and red/green along the poles, blue nearly absent; exposure time was varied by colour. Mundane candidates: (i) stronger absorption of blue by the ferrofluid, which the Tufaile guide states in general [read above]; (ii) diffraction by a field-aligned grating, which is wavelength dependent; (iii) LED output, camera sensor sensitivity and white-balance differences between channels. None is excluded in the book, and no run without the magnet or with the LEDs swapped is shown. Wheeler writes that he "predicted" the result before testing (p.133) but gives no dated record of the prediction. Also, the Faraday effect he invokes rotates polarisation, which is a different effect (Verdet constants do vary with wavelength, roughly as 1/wavelength^2 [memory: medium], so a polarised set-up could produce colour differences; the book does not say whether any polariser was used). - "Programmed" bismuth (pp.97-111): see Corrections 1. The facts: bismuth is the strongest common diamagnet (susceptibility about -1.7 x 10^-4 volume SI [memory: medium]) and its susceptibility depends on crystal direction: about -1.24 x 10^-4 along the a/b axes and about -1.76 x 10^-4 along the c axis [web: Nagoya group paper listing, via https://www.mrs-j.org/pub/tmrsj/vol25_no1/vol25_no1_069.pdf, as reported by search summary; primary table not read]. Thus a cast disc's levitation depends on its grain structure, impurities (iron contamination would reduce diamagnetism), thickness and surface shape. Casting under a magnetic field can orient anisotropic diamagnetic crystals in some systems (reviewed in Chinese Physics B 2019, [web: https://cpb.iphy.ac.cn/EN/10.1088/1674-1056/28/4/048301]); I found no paper that measured texture in bismuth solidified in a field, so this is an open possibility, not a result. This is the strongest honest reading of the bismuth claim: a casting treatment "with applied field" might really alter the disc's effective susceptibility, giving higher stability, without dielectric inertia being involved. The photograph comparison also depends on lifter position, which is not controlled in the caption; "same lifter magnet" is not "same lifter position". No susceptibility, mass, dimensions or distance measurements are provided, nor any repeat. - Resting positions at the "angle of gyromagnetic precession" (pp.136-142): a sphere magnet sits on a ring magnet at some angle; steel balls rest perpendicular to the "plane". These are equilibria of a magnetised sphere and a steel object in a non-uniform field. Steel is induced into alignment with the local field; magnets align moment to field. Wheeler's reading that the angle is the precession angle 42.5 degrees is not measured: the angles are not given in numbers. The same figure is said to match phi^-2 contact (p.138, p.142) [read]. "Spinning a bismuth disc on a magnet always ends in the same place" (pp.141-142) has no repeat count or distances; a diamagnetic disc moving on a magnet settles at the potential-energy minimum [inference]. - Tinmanpower, hydrogen-bubble vortex over a neodymium pole (p.227): electrolysis near a magnet gives convection from the magnetohydrodynamic (Lorentz) force on the current; swirling flow around a magnet pole during electrolysis is a documented kind of effect [memory: medium; not web-checked]. The caption gives no current, voltage, electrolyte or polarity. - "Magnetic Egg" (p.234 and video): frozen water with a white core; trapped gas and freezing front shape explain many such figures [memory: medium]; the Investigator links the video but nobody has watched it. - Vortex technology (100+ terabyte drive, vortex communication): no prototype, patent or data found [read: sites.md].

c. Tested? Gardi's Hall-sensor test (2020) of Wheeler's video claim that a stronger grade has a larger "throw" came out negative, and she also tested a ferrocell lighting claim; the outcome of the second test is not in the wiki summary [read]. For the book's own demonstrations, no controls and no numbers; the exposure and set-up are described only in captions. Kris Lang's single photograph is the only confirmation named and the Investigator found no record of it outside the book. Ufopolitics (2015) and Tinmanpower are experimenters who say they tested; the full results are unread. So: not tested neutrally; also not "dismissed without testing" in the sense of a refusal; a sympathetic researcher did test one claim and found it did not hold. How it was treated by the mainstream: the book was self-published (price $10), never submitted to a journal that I can find, no patent; it has barely been addressed by the scientists who work on the same apparatus (the Tufaile papers do not cite it). I find no evidence of data being omitted or funding or publication being blocked; the record is that of an outsider who did not enter the venues where review happens, and a mainstream that did not answer. That absence should be treated as an anomaly rather than a verdict.

d. If true. Magnet engineering, bismuth physics (diamagnetism from orbital band effects [web: https://arxiv.org/pdf/1407.2179, search summary]) and ferrocell optics would need "dielectric inertia" as an additional measured property of materials. No such property has a unit or an instrument in the book.

Strongest honest case. Real effects are in play: ferrocell colour structure with RGB lighting is observable and, in the Tufaile guide, poorly modelled in detail; anisotropic diamagnetic bismuth can be cast so that its response differs; Gardi, a sympathetic researcher, took his claims seriously enough to measure them. A reader can reproduce several of these with a few hundred dollars of equipment. Weaknesses on the inventor's side: no control run, no numbers, colour-dependent exposure, undisclosed procedure for "programming", the claimed confirmation by a named third party comes from one photograph, and the interpretation (colour carries "dielectric capacitance") has no unit or definition. The book also uses the same demonstrations to support contradictory mechanisms across time (voidance in 2014; gravity in 2025), which weakens each demonstration as evidence for any one of them.

Verdict: Never properly tested (bismuth, RGB LED, resting positions, ferrofluid claims, vortex videos). Grade-dependence of "throw": Tested, not supported (Gardi 2020, one measurement set, homemade instrument). Technology claims ("vortex technology"): Never properly tested; no prototype on record.

4. Deciding experiments (in order of cheapness)

  1. Hall-probe scan of B_z over a disc magnet at heights 0.05-0.5 R; look for a fixed ring at 1.236 R (claim 4). Prediction by magnetostatics: the sign change moves outward with height.
  2. Ferrocell with ring lights of different LED counts, same magnet at several gaps: do ring radii follow gap and circle count follow LED count (claims 3-4, 6)?
  3. RGB LED repeat with: magnet removed; LEDs swapped between positions; fixed exposure and fixed white balance; no polariser versus a polariser; a measured absorbance spectrum of the ferrofluid (claim 6).
  4. Bismuth: cast two discs by Wheeler's procedure (with and without the field/charge treatment), same mould, same bismuth lot; measure mass, dimensions, volume susceptibility (e.g., with a Gouy or SQUID measurement, or a calibrated levitation test) and grain orientation (X-ray diffraction texture or etched grain pattern); fix the lifter position (claim 6).
  5. Force on a magnet with the gap filled with air, oil and water, measured with a balance (claim 1).
  6. Proton NMR in a known field (any teaching NMR instrument): the resonance frequency/field ratio against 42.5775 versus 42.4923 MHz/T (claim 3).

5. Sources and confidence

[read] the book (full text layer for pp.97-111 and 131-142 read by me; other ranges via deep reads, relied on, with spot confirmations of pp.43-49, 99, 133-136); Investigator notes and sites.md; Tufaile guide text-layer lines. [calc] Biot-Savart cylinder integral; 0.0852 x 3 T = 0.256 MHz; (moment ratio)^(1/3) scaling. [web] NIST proton gamma/2pi: https://physics.nist.gov/cgi-bin/cuu/Value?gammapbar . Bismuth-209 alpha decay: https://physicsworld.com/a/bismuth-breaks-half-life-record-for-alpha-decay/ . Bismuth susceptibility anisotropy and high-field orientation of Bi films: https://www.mrs-j.org/pub/tmrsj/vol25_no1/vol25_no1_069.pdf (via search summary; I did not open the primary table). Field effects on solidification: https://cpb.iphy.ac.cn/EN/10.1088/1674-1056/28/4/048301 . Golden ratio in CoNb2O6: https://arxiv.org/abs/1103.3694 (exact number not confirmed). Horocycles in a ferrocell: https://www.mdpi.com/2410-3896/6/3/30 . [memory] flagged inline; items needing a physicist's check: Stern-Gerlach, Rosensweig instability, N42/N52 remanence, MHD flow in electrolysis, longitudinal field at a tight focus, the claim that ferrocell circle count follows LED count. Not examined by anyone: the videos (bismuth, Magnetic Egg, Gardi, Tinmanpower), the 2nd-edition PDF beyond the Investigator's text search, the Energetic Forum thread pages 2-27, page images of pp.97-111 and 131-142.