Minderle-Thomas: Primer

Project: Thomas Minderle ("Montalk"), A Brief Introduction to Scalar Physics (Version 0.2, 23 May 2014, 48 pages; "the 2014 paper"), the web article The Etheric Origins of Gravity, Electricity, and Magnetism (page dated 07/04/2007, printed 2014; "the 2007 article"), and the book Fringe Knowledge for Beginners (v1.0, August 2008; context only, no physics).

Inputs: arbiter.md (authoritative verdicts), physicist.md, mathematician.md, contrarian.md, the deep reads in deep/, the Investigator's sites.md and research/ notes (including the 2026 "Entropic Parasites" PDF in research/files), and my own reading of the 2014 paper's extracted text, pp.10-13, 21-22 and 40-45 (PDF page numbers). Revised after QE (qe.md, verdict MINOR) to carry the arbiter's "QE revision" (arbiter.md section 9) and the QE deep reads; no headline verdict changed. Companion script: example.py (run command in its header; it runs cleanly and reproduces every number in Section 5 and the symbolic checks quoted in Section 4).

Source tags: [read] = from the project documents (PDF page numbers); [read: page image p.N] = from a rendered page; [web] = Internet source with URL; [memory] = recalled, with confidence; [calc] = arithmetic done here and reproduced in example.py.

Source gap note (repeated from earlier steps). None in the usual sense: all three documents have full text (20 pages of the 2008 book were OCR'd). But the documents contain no measurement, no experiment and no bibliography, and the key constant beta is "unknown to me at this time" [read: 2014 p.21]. Every claim is therefore qualitative, and for several claims the honest answer to "was it tested?" is "nobody could test it as written". No conclusion below rests on [memory] alone.

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1. The idea in one paragraph

Minderle proposes that space is filled with one underlying field, a "scalar superpotential" he identifies with the ether, and that every electric and magnetic quantity is just a different way this field is bent: its slope across space is the magnetic vector potential, its rate of change in time is voltage, and the electric and magnetic fields come from those. He then adds one new rule: where this ether is "compressed" (where the vector potential spreads outward from a point), there is gravity. Because ordinary electrical engineering deliberately throws away exactly that compression (it uses conventions called "gauges" that set it to a fixed value), he argues that mainstream physics has hidden a link between electricity and gravity. From that link he draws large consequences: electrically made gravity, slowed or sped-up time, "portals", and an explanation of inertia and the speed of light from the total mass of the universe. The real physics question underneath is old and respectable: are the electromagnetic potentials more than bookkeeping? The answer from experiment is "partly yes" (the Aharonov-Bohm effect), but the specific part he makes physical is the part that experiment says is not.

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2. What you need to know first

2.1 Gradient, divergence, curl and two identities. The gradient (grad f) of a scalar f points uphill with the slope as its size. The divergence (div v) of a vector field v measures how much it spreads out from a point (a source); the curl (curl v) measures how much it circulates. Two identities matter here: curl(grad f) = 0 for any smooth single-valued f, and div(grad f) = Laplacian f (written nabla^2 f, the sum of second derivatives). Read: H. M. Schey, Div, Grad, Curl, and All That; Griffiths, Introduction to Electrodynamics, Chapter 1 [memory, high].

2.2 Electromagnetic potentials. Instead of working with the electric field E (V/m) and magnetic field B (tesla) directly, one can write them from a scalar potential phi (volts) and a vector potential A (webers per metre, Wb/m = V s/m): B = curl A and E = -grad phi - dA/dt. This automatically satisfies two of Maxwell's four equations. Read: Griffiths Chapter 10 ("Potentials and Fields") [memory, high]; Feynman, Lectures on Physics Vol. II, Chapter 15 ("The Vector Potential") [memory, high].

2.3 Gauge freedom. The potentials are not unique. For any smooth function Lambda(x, y, z, t), the swap A -> A + grad Lambda, phi -> phi - dLambda/dt leaves E and B exactly unchanged (check it: the extra terms cancel in E, and curl grad Lambda = 0 in B). Choosing a convention to remove this freedom is called "fixing a gauge". The two common choices: Coulomb gauge, div A = 0; Lorenz gauge (Ludvig Lorenz, a Dane, not Lorentz), div A = -(1/c^2) dphi/dt. Because one can always switch, div A at a point is not something any electric or magnetic measurement can see. Read: Griffiths Chapter 10 [memory, high]; J. D. Jackson and L. B. Okun, "Historical roots of gauge invariance", Reviews of Modern Physics 73, 663 (2001) [memory, high].

2.4 The Aharonov-Bohm effect. In quantum mechanics a charged particle's wave picks up a phase (q/hbar) times the line integral of A along its path (hbar = Planck's constant / 2 pi). Around a closed loop that integral equals the magnetic flux inside the loop, which is gauge-independent. Electrons passing on either side of a shielded solenoid, through regions where B = 0, show an interference shift: so A has physical effects beyond B, but only through loop integrals, never through its local value. Proposed 1959, confirmed by Tonomura and colleagues 1986 [memory, high]. Read: Griffiths, Introduction to Quantum Mechanics, chapter on the adiabatic approximation (Berry phase) [memory, medium for location]; Feynman Vol. II Chapter 15 [memory, high].

2.5 Newtonian gravitational potential. The gravitational potential phi_g (m^2/s^2, energy per kilogram) of a mass m at distance r is -Gm/r; the field is g = -grad phi_g; for a distribution of density rho, Poisson's equation nabla^2 phi_g = 4 pi G rho. G = 6.674e-11 m^3 kg^-1 s^-2. Read: Kleppner and Kolenkow, An Introduction to Mechanics (chapter on gravitation) [memory, high]; Taylor, Classical Mechanics [memory, high].

2.6 Gravitational time dilation (weak field). A clock at rest where the potential is phi_g ticks at the rate sqrt(1 + 2 phi_g/c^2) relative to a clock far away (phi_g = 0). At the Earth's surface 2 phi_g/c^2 is about -1.4e-9: GPS has to correct for this. The rate reaches zero when phi_g = -c^2/2, which for a point mass is r = 2Gm/c^2, the Schwarzschild radius (black-hole horizon). Read: Hartle, Gravity; Taylor and Wheeler, Exploring Black Holes [memory, high].

2.7 Mach's principle. Ernst Mach argued that inertia (resistance to acceleration) must come from a relation to the rest of the matter in the universe. Einstein named it; general relativity (GR) only partly embodies it. Sciama (1953) showed that if a body's inertia came from the gravity of the whole universe, one needs G M_universe/(R_universe c^2) of order 1, and observed that it roughly is. Brans-Dicke theory (1961) built a "varying G" theory on this idea. It remains an open interpretive question [memory, high]. Read: D. W. Sciama, "On the origin of inertia", Monthly Notices of the Royal Astronomical Society 113, 34 (1953) [memory, high].

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3. The textbook view

Symbols: E electric field (V/m); B magnetic field (T); phi electric potential (V); A vector potential (Wb/m); rho charge density (C/m^3) or mass density (kg/m^3) as stated; J current density (A/m^2); epsilon_0 = 8.854e-12 F/m; mu_0 = 4 pi x 1e-7 H/m; c = 2.998e8 m/s with c^2 = 1/(mu_0 epsilon_0); t time; Lambda an arbitrary gauge function.

Maxwell's equations (vacuum with sources):

div E = rho/epsilon_0                         (Gauss)
div B = 0
curl E = -dB/dt                               (Faraday)
curl B = mu_0 J + mu_0 epsilon_0 dE/dt        (Ampere-Maxwell; the second term is the "displacement current")

Potentials and gauge. B = curl A, E = -grad phi - dA/dt. The gauge transformation A' = A + grad Lambda, phi' = phi - dLambda/dt leaves E and B unchanged but changes div A by nabla^2 Lambda.

Pure-gauge "waves". Take A = grad chi and phi = -dchi/dt for any function chi. Then E = -grad(-chi_t) - grad(chi_t) = 0 and B = curl grad chi = 0. If chi satisfies the wave equation nabla^2 chi = (1/c^2) d^2chi/dt^2, these potentials also satisfy the Lorenz condition and look like a wave travelling at c with A pointing along the direction of travel (longitudinal). The mainstream reading: this is the gauge freedom itself, a relabelling with no energy, no momentum and no force on any charge. It is exactly the object the 1987 CIA memo (below) and much of the "scalar wave" literature discuss [memory, high; CIA memo: web].

Gravity. In GR, gravity is spacetime curvature sourced by energy and momentum (including the energy of electromagnetic fields, at order U/c^2 for energy density U). In the weak-field limit it reduces to Poisson's equation. No tested theory couples gravity to div A [memory, high].

The potential at the centre of a uniform ball (needed in Section 5). Adding -G dm/r over a ball of density rho and radius R, with dm = rho r^2 sin(theta) dr dtheta dphi, gives -2 pi G rho R^2: negative, and growing with R^2, so in an infinite uniform universe it has no finite value; only differences of potential are measured (by clocks compared at two places, or by forces) [calc; memory, high].

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4. Where the inventor departs

What Minderle gets right first, because it is the real physics his starting point rests on. Potentials are not mere fiction: the Aharonov-Bohm effect shows A acts on quantum phase where B = 0, and the 2014 paper builds on the same phase-gradient idea, writing chi = (h/q) theta and theta = (q/h) times the integral of A [read: 2014 p.10; page image p.10]. One slip: the standard phase (Section 2.4) is (q/hbar) times that integral, with hbar = h/(2 pi). The paper writes plain h and never says whether theta is in radians or in turns, so with theta in radians its relation is off by a factor 2 pi [read: deep read (QE), p.10; arbiter Q1]. The inventor's 2026 draft writes hbar, which fixes it [read: research/files copy p.1]. Pure-potential longitudinal solutions with E = B = 0 do exist mathematically. The question "is any part of the gauge freedom physical?" is asked seriously in the peer-reviewed literature (Minotti and Modanese, below). And his "ambient potential" idea is a version of Sciama's real numerical coincidence. Those are honest starting points.

The departures, side by side:

The single point of departure is the gravity row: making div A (which the textbook says is a free choice) into a physical quantity with a gravitational meaning. Everything in claims 2 to 5 flows from it. The sign problems in the first rows are separate, repairable slips: the inventor's own 2026 draft writes A_mu = -(hbar/q) d_mu theta, which carries the standard sign (the time component gives phi = -dchi/dt) [web: https://scalarphysics.com/Montalk_(2026)_Entropic_Parasites.pdf; read: research/files copy p.1, per mathematician]. The mathematician and physicist both note that the "sign flip" in ch.6.5, which Step 1 called unjustified, is what the corrected sign would require: with phi = +chi_t, "div A = +phi_t/c^2" is the wave equation for chi [calc, example.py Part 2(a)]. So the flip looks like a hidden repair, not a trick.

A useful observation from the mathematician (kept as an original contribution): if a changing mass makes an electric field E = -dA/dt with A0 proportional to Gm/beta, and a changing E makes gravity g = (beta/c^2) dE/dt, then the product of the two couplings is G/c^2 = 7.4e-28 m/kg whatever beta is. A small beta weakens one effect and strengthens the other, so null results in both directions could bound beta from both sides. No one has done this [read: mathematician.md; arbiter item 10].

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5. Worked example: is the "ambient potential" really c^2/2?

This tests claim 5 with the paper's own numbers. It needs only calculus and arithmetic. Every number below is reproduced by example.py Part 1.

Step 1. The integral. The paper writes the ambient potential as the sum over all masses of G m_i / r_i, then as an integral over a uniform ball [read: 2014 p.41]:

phi_a = G rho_m  [integral_0^R r dr] [integral_0^pi sin(phi) dphi] [integral_0^2pi dtheta]

Here rho_m is the mean mass density of the universe (kg/m^3), R its radius (m), and phi, theta are the two angles of spherical coordinates (not the electric potential). Where does the single r come from? The volume element is r^2 sin(phi) dr dphi dtheta and each mass is divided by its distance r, leaving r. The three integrals are R^2/2, 2 and 2 pi, so

phi_a = 2 pi G rho_m R^2.

The form is right [calc]. The sign is not: each term is -G m_i/r_i, which is negative, so the true sum is -2 pi G rho_m R^2. The paper says "because it is mass surrounding a point ... the potential is positive instead of negative" [read: p.41]; that is asserted, not derived. Below I use the magnitude, as the paper does.

Step 2. The paper's low-end inputs (rho_m = 4.5e-26 kg/m^3, R = 1.3e26 m) [read: p.41]:

R^2 = 1.69e52 m^2
2 pi G = 2 x 3.1416 x 6.674e-11 = 4.193e-10
phi_a = 4.193e-10 x 4.5e-26 x 1.69e52 = 3.19e17 m^2/s^2

The paper prints 3.16e16 [read: p.41]. That is a factor of 10 too small. [calc]

Step 3. The paper's high-end inputs (rho_m = 18e-26 kg/m^3, R = 4.34e26 m):

phi_a = 4.193e-10 x 1.8e-25 x 1.884e53 = 1.42e19 m^2/s^2

The paper prints "142 x 10^16" = 1.42e18: again a factor of 10 low. [calc]

Step 4. Compare with c^2/2. c^2/2 = (2.998e8)^2 / 2 = 4.494e16 m^2/s^2 (the paper's 4.49e16 is correct). The corrected range is therefore

3.19e17 / 4.494e16 = 7.1   to   1.42e19 / 4.494e16 = 316

times c^2/2. The paper's sentence "these are both within the same order of magnitude" is true only of its misprinted numbers; with its own inputs computed correctly, the ambient potential is 7 to 316 times too large. [calc]

Step 5. Now be fair: use mainstream inputs. The paper's density and radius ranges are its own, unsourced. Take the Hubble constant H0 = 70 km/s/Mpc = 2.27e-18 s^-1 (1 Mpc = 3.086e22 m). The critical density (the density that makes the universe spatially flat) is rho_c = 3 H0^2 / (8 pi G) = 9.20e-27 kg/m^3, and the Hubble radius is R = c/H0 = 1.32e26 m. Then

2 pi G rho_c R^2 = 2 pi G x [3 H0^2/(8 pi G)] x [c^2/H0^2] = (3/4) c^2 exactly.

Numerically 6.74e16 m^2/s^2 = 1.50 x (c^2/2). If only ordinary plus dark matter counts (about 30% of critical), it is 0.225 c^2 = 0.45 x (c^2/2). [calc; memory, high for the cosmological values]

So the honest result is mixed. With proper inputs, the ambient potential is within a factor of about two of c^2/2. That is the same order-unity coincidence Sciama pointed out in 1953 [memory, high], and it is real. But (i) the paper's own numbers, computed correctly, do not show it; (ii) the result depends on where you cut off "the universe" (it grows as R^2), so "equal to c^2/2" has no definite meaning without a cosmological model; and (iii) the paper moves from "Could they be equal and opposite?" [read: p.41] to "substitute the actual value of ambient potential" [read: p.45] without an argument in between.

Step 6. How far is the "portal" threshold? The paper's portal condition is a local potential below -c^2/2 [read: p.40]. At the Earth's surface -GM/R = -6.26e7 m^2/s^2, which is 1.4e-9 of c^2/2; at the Sun's surface -1.91e11 m^2/s^2, which is 4.2e-6 of c^2/2. For the Sun, -GM/r = -c^2/2 only at r = 2GM/c^2 = 2.95 km, its Schwarzschild radius [calc]. The algebra of the portal condition is correct (it is the horizon condition of Section 2.6); the proposal that a uniform electrically made potential could reach it needs both an unknown beta and absolute potentials to be physical, which Section 3 says they are not.

What the example teaches. Arithmetic slips (a dropped power of ten) can turn a factor of 7 into an apparent match. Checking the inventor's sum is easy and should always be done. And a fair check also tries better inputs: here they rescue an order-of-magnitude coincidence that the paper itself mis-stated.

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6. Evidence table

Verdicts are the arbiter's (Step 3 scale). "Tested?" refers to a neutral, controlled test.

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7. What a learner should take away

Solid. - Potentials are physically meaningful in quantum mechanics through loop integrals (Aharonov-Bohm). Minderle's chi = (h/q) theta has the form of the standard phase-gradient relation used in superconductors, except that the standard relation has hbar where the 2014 paper writes h: with theta in radians that is a factor 2 pi slip, corrected in his 2026 draft (Section 4). - Pure-potential longitudinal solutions with E = B = 0 exist. Whether any of them can be physical is a live minority question in peer-reviewed physics: Minotti and Modanese (Eur. Phys. J. C 83:1086, 2023) show that such "gauge waves" become detectable if electric current is not locally conserved [web: https://arxiv.org/abs/2310.13968]. In their theory the wave is electromagnetic; gravity is not involved. - The portal threshold -c^2/2 is the Schwarzschild horizon condition, correctly stated. - The near-unit value of G rho R^2/c^2 for the universe is a real coincidence, Sciama's starting point.

Wrong, and why instructive. - Making a gauge choice physical. div A can be changed to anything by a gauge transformation that leaves every electric and magnetic measurement untouched (example.py Part 2(b)). Tying gravity to it means two engineers describing the same circuit in different gauges would predict different weights. Minderle accepts this and says gauge is physical, but gives no rule picking the "true" gauge, so the theory cannot make a prediction. The lesson: before you give a quantity physical meaning, check whether it is invariant under the symmetries of the theory. - Sign conventions. phi = +dchi/dt instead of -dchi/dt turns a do-nothing relabelling into a real electric field. One sign changes the physics; always check that the "pure gauge" example really gives E = 0. - Counting one thing twice. -grad phi and -dA/dt were shown to be the same expression and then added (pp.12-13). - Divergence versus gradient in spherical coordinates. The point-mass example uses the divergence formula where a gradient is needed, and gets a repulsive gravity (p.22). - Arithmetic. The ambient-potential numbers are a factor of 10 low, which manufactures the "same order of magnitude" match (Section 5). - The spherical capacitor. It looks like displacement current without a magnetic field, but symmetry plus Ampere-Maxwell show a charging current must cancel it; nothing is radiated. A classic Griffiths-level exercise. - Derivations "by construction". The ch.7 derivations reach textbook formulas by inserting a frame-switch minus sign, using a total derivative for a partial one, and putting the whole Laplacian along the direction of motion (an isotropic split would give v^2/(3c^2)). Agreement reached that way is not evidence. - A second "by construction" case: E = 2 m phi_a. The paper calls this "the intrinsic energy of matter" [read: p.45]. With phi_a = c^2/2 it gives E = mc^2. But phi_a = c^2/2 is the conjecture itself (p.41 asks "could they be equal?", p.45 assumes they are), so mc^2 was put in, not derived out. Likewise the p.46 route to F = ma is the kinematic identity d(v^2/2)/dx = a with Newton's second law assumed (arbiter Q3). The lesson: if a result reproduces a famous formula, check whether that formula was already hidden in an input.

Genuinely open. - Can any part of the gauge freedom be physical in an extended electrodynamics (Minotti-Modanese; van Vlaenderen-Waser 2001; Hively-Giakos 2012 and Hively-Land 2020, see Section 9; Hively's patent application WO2016196231A1, whose applicant Gradient Dynamics LLC has a commercial stake, status "ceased", no test result found [read: sites.md])? Can such a theory be coupled to gravity without the gauge conflict? - Is the Sciama coincidence a deep relation or an accident? - The paper's one near-experimental prediction: an electrically altered potential "would break the equivalence" principle [read: p.46], meaning a body would respond differently to a voltage-made potential than to a mass-made one. The equivalence principle is the rule, tested to about 1 part in 10^15, that all bodies fall alike in gravity whatever they are made of. Existing tests (MICROSCOPE, torsion balances) apply no voltage, so they neither confirm nor rule out this specific claim [web: https://arxiv.org/pdf/2209.15487, via search summary]. A torsion-balance test with a ramped high voltage around the masses is the relevant design; none was found, and without beta no size can be predicted (arbiter Q2). - What is the inventor's current gravity law? His 2026 draft "Entropic Parasites" (25 Mar 2026, Draft v0.1) describes the vacuum as a condensate psi = R e^(i theta) with gravity from the amplitude R through g proportional to R^2 times the flat metric, not from div A. (Glosses: a condensate is a state in which very many particles share one quantum wavefunction psi, as in a superconductor or superfluid; R is its amplitude and theta its phase. The metric is the rule that turns coordinate differences into measured distances and times; the flat metric is the one of special relativity, with no gravity.) [web: https://scalarphysics.com/Montalk_(2026)_Entropic_Parasites.pdf]. If this replaces the 2014 postulate, claims 2-5 are superseded by his own later work. The paper's main application is to "demonic entities", with predictions P1-P4 (EEG/HRV coherence, clock and decoherence anomalies at "haunted" sites) [per arbiter, from the reviewers' reading]. A caution from the physicist and mathematician [memory, high]: a metric that is just R^2 times the flat metric (Nordstrom-type scalar gravity, after Gunnar Nordstrom's 1913 theory in which gravity is a single number at each point that stretches all lengths and times equally, rather than Einstein's fuller description) cannot bend light and is ruled out by light-bending and perihelion data; this concerns the summary form only, since the parent text is unpublished.

The record and its gaps (kept whatever the verdict). - Inventor's own dating (from his website, per Investigator, not confirmed against Wayback captures): plate wave and spherical-capacitor argument 11 Jul 2004; ambient ether pressure and Mach 7 Aug 2006; phi = beta div A and the -c^2/2 portal 26 Mar 2007. The 2007 list of proposed generators of divergent A (rotating magnetic fields, spherical electrodes with asymmetric pulsed high voltage, radially arranged rail guns fired together, charged plasma implosions, radial currents, converging electromagnetic waves, phase-conjugate cavities) is the project's only experimental programme; no results exist [web: montalk.net, per research/2026-10-04-montalk-net.md]. - Prior history of the idea. A CIA memo of 22 Dec 1987 (STARGATE collection, CIA-RDP96-00792R000500240001-6) describes the same E = 0, B = 0 wave with A = grad S, phi = -dS/dt (correct sign), names T. E. Bearden as chief proponent, discusses submarine communication, and says "their existence is not proven" and the energy source is unresolved [web: https://www.cia.gov/readingroom/document/cia-rdp96-00792r000500240001-6]. It shows the pure-potential-wave idea was under US government review 17 years before Minderle's first page: evidence of interest, not of suppression, and not of any gravity link. - Independent interest. A hobbyist "Scalar Harmonic Oscillator" build (YouTube, about 2025) cites Minderle's video and paper; no data seen. Google Scholar lists two citing works, neither peer-reviewed (Sorensen 2024 on osmotic momentum; Wangari and Murang'a on "aether engineering"; neither opened). The inventor's resource list also names Zohuri (2018), Bearden and Marinov. No published rebuttal [read: sites.md]. The archived scalarphysics.com changelog dates the paper's release to 22 May 2014, one day before the date printed on it [web: Wayback Machine, per sites.md]. - Where the record goes dark. (a) The book "Demiurgic Physics: Condensate Electrodynamics", announced "to be released, 2026", was not found published by 2026-10-04. Competing explanations: still being written (a Draft v0.1 exists from March); private or paid circulation (nothing seen); abandoned or refocused toward metaphysics (the 2026 paper's emphasis; only seven months have passed); suppression (no evidence either way; he self-publishes, so there is no editor or funder to block him). The scalarphysics.com changelog, Wayback captures or a release notice would decide. (b) No experiment by anyone in 2004-2026: possible reasons are lack of resources in a one-person project, beta being unknown so no one knows what scale to try, a null effect the inventor has no reason to publish, or the work being read as a belief system rather than a theory. Lab notes, the 2021 video (not watched in this review), forum threads or correspondence would separate these. (c) No peer-reviewed engagement: the expected response to an unrefereed paper with an undetermined constant; by contrast the number-bearing Monstein-Wesley claim was published and drew a published critique. - Heaviside. Minderle attributes the absence of antigravity to Heaviside's dismissal of potentials. Heaviside did remove the potentials from the core of the theory: he is quoted as saying "I never made any progress until I threw all the potentials overboard" [web: https://physicstoday.aip.org/features/oliver-heaviside-a-first-rate-oddity, via search summary, page not opened; arbiter Q6]. (The word "metaphysical", used in earlier drafts here, was not found and is dropped.) The Aharonov-Bohm effect later restored a physical role for the potentials. This supports the inventor's historical premise that potentials were demoted; it does not show that the demotion is why antigravity is absent. No document or named instance of suppression of Minderle's own work is on record. - Further side claims in the 2014 paper (kept, all Not testable as stated): changing A0 "would be altering the mass" (p.22); the constant chi0 is "an index variable signifying the timeline or universe", and two masses must share it "to be completely tangible to each other" (p.23); the ether "may be superfluid" (pp.17-18, per digest); a pulsed hollow metal sphere carries an undetectable "signal" inside with E = 0 (pp.25-26), the inventor's one concrete generator geometry for the time-rate claim (a uniform phi(t) can be removed by a gauge change, so this rests on the gauge question; a shell whose charge varies also radiates outside [memory, high]) [read: deep read (QE); arbiter Q5]. The 2007 article quotes an unnamed "favorite source": "A graviton is an electron in a time-vacuum" [read: 2007 p.7], the seed of the 2014 "charge is mass cycling through time". - The 2008 book, context for claims 4 and 6 [read: 2008 pp.93-97; deep read]. Portal technology: "Advanced military factions have portal technology that creates a wormhole between their underground base and your bedroom ... you can be there for eight hours while only two hours pass back home" (p.93), supported by abductee recollections, "circumstantial clues" and a footnote to Eve Lorgen; no mechanism, and no link to the 2014 potential physics. The author's first-person account: "Several years ago during a period of frequent abductions I set up a motion-activated webcam to record myself sleeping - that night the power went out six times, each time rebooting the computer and stopping the recording" (p.95). This is his own testimony, kept as such; it gives no date, place, log or footage, attributing the outages to abductors is his inference, and a utility outage log could in principle have checked it. It is offered for the abduction picture, not for any physics claim. A physical mechanism for lunar and solar influence on mood: "alignments between earth, sun, and moon that create gravitational field disturbances. These temporarily muddy the boundary between our dimension and the higher negative dimension" (pp.96-97), with folklore and his article "Food for the Moon" as support; no formula or data. The arbiter rates each Not testable as stated (Q8). The lunar passage uses the word gravity but not the 2014 postulate, so it neither supports nor weakens claims 2 or 4.

What would settle it (arbiter Section 6): restate the 2014 chain with the standard sign and a stated gauge rule; give beta a number or bound it using the G/c^2 reciprocity; then put a clock or gravimeter inside a hollow conductor with a linearly ramped voltage (the paper's own mechanism, pp.36, 39-40); run an independent, null-controlled repeat of the Monstein-Wesley receiver test including the feed-wire current; redo the ambient integral in a stated cosmological model; test Biefeld-Brown in good vacuum.

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8. Check yourself

1. Take A = grad chi. Show that phi = -dchi/dt gives E = 0, and find E if instead phi = +dchi/dt (the 2014 paper's choice), for chi = F(x - ct).
2. A circuit is described once in Coulomb gauge and once in Lorenz gauge. What gravitational potential does phi_g = beta div A give in each? Why is that a problem for the postulate?
3. What are the SI units of beta, given phi_g in m^2/s^2 and A in Wb/m (1 Wb = 1 V s)?
4. A spherical capacitor has charge Q(t) on its inner sphere. Why must B = 0 between the spheres, and how is the Ampere-Maxwell law then satisfied while Q changes?
5. Compute 2 pi G rho R^2 for rho = 4.5e-26 kg/m^3 and R = 1.3e26 m. Is it within an order of magnitude of c^2/2? What does the critical-density, Hubble-radius version give, and why is the answer independent of H0?

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9. Further reading

Mainstream: - D. J. Griffiths, Introduction to Electrodynamics, Chapters 1 (vector calculus), 7 (displacement current), 8 (Poynting's theorem), 10 (potentials and gauge) [memory, high]. - R. P. Feynman, The Feynman Lectures on Physics, Vol. II, Chapter 15 (vector potential, Aharonov-Bohm) [memory, high]; free at feynmanlectures.caltech.edu. - J. D. Jackson and L. B. Okun, "Historical roots of gauge invariance", Rev. Mod. Phys. 73, 663 (2001): how Lorenz, Heaviside and others treated the potentials [memory, high]. - Y. Aharonov and D. Bohm, Phys. Rev. 115, 485 (1959); A. Tonomura et al., Phys. Rev. Lett. 56, 792 (1986) [memory, high]. - D. W. Sciama, "On the origin of inertia", MNRAS 113, 34 (1953); C. Brans and R. H. Dicke, Phys. Rev. 124, 925 (1961) [memory, high]. - J. B. Hartle, Gravity: An Introduction to Einstein's General Relativity (gravitational time dilation, Schwarzschild radius) [memory, high]. - A. Minotti and G. Modanese, Eur. Phys. J. C 83:1086 (2023), arXiv 2310.13968: the peer-reviewed theory of detectable gauge waves [web: https://arxiv.org/abs/2310.13968]. - C. Monstein and J. P. Wesley, Europhys. Lett. 59 (2002), with the Bray-Britton Comment and the authors' reply, EPL 66 (2004) 153 and 155-156 [web, URLs in Section 6]. - T. B. Bahder and C. Fazi, "Force on an Asymmetric Capacitor", ARL-TR-3005 (2003) [web: https://apps.dtic.mil/sti/tr/pdf/ADA416740.pdf].

Related work outside the mainstream or at its edge (leads from the Investigator, listed with their status; none read in full in this review): - K. van Vlaenderen and A. Waser, "Generalisation of Classical Electrodynamics to Admit a Scalar Field and Longitudinal Waves", Hadronic Journal 24(5):609-628 (2001): adds a scalar field to Maxwell's equations so that longitudinal waves appear; on the inventor's own resource list [web: per research/2026-10-04-google-web.md; not read]. Electromagnetic, not gravitational. - L. M. Hively and G. C. Giakos, "Toward a more complete electrodynamic theory" (2012), and L. M. Hively and M. Land, "Extended Electrodynamics" (IARD conference, 2020): theory papers predicting a scalar-longitudinal wave with E along the direction of travel, behind the patent application WO2016196231A1 (applicant Gradient Dynamics LLC, which has a commercial stake; status "Ceased"; no test result found) [web: research/2026-10-04-google-patents.md, from search snippets; not opened]. Same design principle as the sphere/plate antenna of claim 3c; electromagnetic, not gravitational. - D. M. Greenberger and K. Svozil, "Quantum Theory Looks at Time Travel": a mainstream quantum-foundations paper on time travel that the inventor cites for forward and backward time operators and his phase-only "hyperspace" (claim 4) [web: per research/2026-10-04-montalk-net.md; not read; content [memory, medium]]. A legitimate source of inspiration; it says nothing about electric fields or gravity, and whether it supports the portal claims is not shown. - P. Graneau's work on longitudinal Ampere forces in exploding wires and rail guns, and A. K. T. Assis and M. Bueno on Ampere versus Grassmann forces (see the claim 4 row in Section 6) [web, via search summary].

The inventor's own works: - T. Minderle, A Brief Introduction to Scalar Physics, v0.2 (2014), scalarphysics.com [read]. Chapters 2-3 (definitions, point mass), 6 (longitudinal waves, spherical capacitor), 7 (ambient potential, Mach). - The Etheric Origins of Gravity, Electricity, and Magnetism, montalk.net (2007) [read]: the same ideas in prose, no written equations. - montalk.net notes: "Scalar Superpotential Theory", "Time Travel" (26 Mar 2007), "Transverse and Longitudinal Waves" [web: https://montalk.net/science/109/scalar-superpotential-theory; https://montalk.net/notes/time-travel; https://montalk.net/notes/327/transverse-and-longitudinal-waves]. - "Entropic Parasites" (Draft v0.1, 25 Mar 2026) [web: https://scalarphysics.com/Montalk_(2026)_Entropic_Parasites.pdf]; the announced "Demiurgic Physics: Condensate Electrodynamics" (unpublished as of 2026-10-04). - Fringe Knowledge for Beginners (2008) [read]: context for claim 6 only. - Historical: CIA memo "Scalar Waves", 22 Dec 1987 [web: https://www.cia.gov/readingroom/document/cia-rdp96-00792r000500240001-6].

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Answers

1. grad phi = grad(-chi_t) = -grad(chi_t) and dA/dt = grad(chi_t), so E = +grad(chi_t) - grad(chi_t) = 0. With phi = +chi_t, E = -2 grad(chi_t). For chi = F(x - ct): chi_t = -cF', grad(chi_t) = -cF'' x-hat, so E_x = 2cF'' (example.py Part 2(a)).
2. Coulomb: div A = 0, so phi_g = 0 everywhere. Lorenz: div A = -(1/c^2) dphi/dt, so phi_g = -(beta/c^2) dphi/dt. Both gauges describe identical E and B, so every electric and magnetic measurement agrees, yet the postulate predicts different gravity. A physical prediction cannot depend on a bookkeeping choice unless the theory names the one true gauge, which the paper does not.
3. div A has units (V s/m)/m = V s/m^2. beta = phi_g / div A = (m^2/s^2)/(V s/m^2) = m^4/(V s^3).
4. Spherical symmetry: B at any point in the gap would have to point in some direction, but every direction perpendicular to r-hat is equivalent, and a radial B would violate div B = 0 (it would need a monopole); so B = 0. Then curl B = 0, so mu_0 J + mu_0 epsilon_0 dE/dt = 0: a changing Q needs a radial leakage current J that cancels the displacement current exactly. If the charge instead arrives through a feed wire, the symmetry is broken and B is not zero. Either way Maxwell holds; and with B = 0 the Poynting vector E x B/mu_0 is zero, so nothing is radiated.
5. 2 pi x 6.674e-11 x 4.5e-26 x 1.69e52 = 3.19e17 m^2/s^2, which is 7.1 times c^2/2 (the paper prints 3.16e16). Critical density and Hubble radius: 2 pi G [3H0^2/(8 pi G)] (c/H0)^2 = (3/4) c^2; H0 cancels because rho_c grows as H0^2 and R^2 shrinks as 1/H0^2.