Physicist review: Frollov-Alexander (Alexander V. Frolov)

Reviewer role: PhD physicist, mainstream view. Inputs: facts.json and claims.md (Step 1), checked against the two source PDFs, which I read myself as text (the 1994 note in full; the 2003 article's body text, pages 1-18 of the PDF, with the patent and organisation lists at the end skimmed). Figures were not viewed as images. [read]

Source note: there is no source gap for what is in the folder. But everything Frolov says about other people's devices (Brown, Sweet, Searle, Hubbard, Cooper, Avramenko/Strebkov line tests, Kozyrev) is his second-hand report, with no data tables, error bars or primary documents. Where I judge those devices I rely on [web] sources or say plainly that the conclusion rests on [memory].

Tags: [read] from the documents; [web] URL given; [memory] with confidence.

Corrections to Step 1

1. facts.json, 2003 article, sources line: "[memory] high: ion wind explains Brown-type lifters in air". This is overstated. The US Army Research Laboratory report (Bahder and Fazi, ARL-TR-3005, 2003) estimated that ballistic ion wind is at least three orders of magnitude too small to explain the force they measured on an asymmetric capacitor in air, and said the physical basis of the Biefeld-Brown effect is not understood (they also say ion wind would still act in vacuum and may contribute) [web: https://arxiv.org/vc/physics/papers/0211/0211001v1.pdf, via search summary; the PDF itself was not opened]. Correct status: force on asymmetric high-voltage capacitors in air is real, the mechanism is disputed. I recall (medium confidence, not web-checked) that other groups later reported no thrust in vacuum, which would favour a charged-air mechanism, but I do not rely on it.
2. facts.json/claims.md lump Brown's work as "asymmetric capacitors produce propulsion without ionization". Frolov's text is more split: he says Brown considered force by electric forces alone, but also "We have to exclude ideas on electrokinetic apparatus since it is just a reactive method and propulsion force is result of ionization flow" and keeps only the 1927 flat-capacitor patent and the US 3,187,206 surface-asymmetry idea [read, pp.15-16]. Fig. 4 is nevertheless captioned "Electrokinetic apparatus by T.T. Brown". So Frolov's claim is narrower than Step 1 wrote, and his own text contains the exclusion.
3. facts.json source tags for "Avramenko plug ... [memory] medium, not web-checked": now checked. Avramenko's plug is described as a diode-condenser block, two diodes plus capacitor, that gives pulsed DC to a load from a single-wire line [web: https://viesh.ru/pre/development-of-resonance-methods-of-electric-power-transmission/ , search summary]. Same source reports a 20 kW single-wire study by Avramenko, Burganov, Nekrasov, Roschin and Strebkov at VIESH (a Russian agricultural-electrification institute). I did not find independent confirmation of the "100 kW" figure Frolov gives.
4. The 1994 note's Tesla-in-London claim (key claim 7) was untagged. Web check: Tesla lectured in London on 3-4 and 19 Feb 1892 and in the 1891-93 lectures showed single-terminal lamps and motors run through one conductor [web: https://teslauniverse.com/nikola-tesla/articles/mr-tesla-london-institution-electical-engineers-and-royal-institution]. That was high-frequency, high-voltage lighting of lamps and small motors, not shown as delivering usable power without a source cost.
5. Minor: the two Frolov documents cite the same Avramenko/Zaev 1991 paper under different journal names ("Journal of Russian Physical Society" in 1994, "Journal of Russian Physical Ideas" in 2003) [read]. Not an error by Step 1, only a loose citation by Frolov.
6. Step 1's arithmetic (0.5 x 10 nF x (2 kV)^2 = 0.02 J; x 5 Hz = 0.1 W) is correct; I reproduced it. Everything else in facts.json and claims.md matched what I read.

Claim 1: A potential (scalar) field can do net work around a closed cycle, without fuel, if the negative-work half is removed by pulsing, gradients, polarity change or screening

What Frolov writes [read, 2003 pp.11-12]: "the work of potential field on closed trajectory ... is equal to zero. Yes, it is right for only case: if one part of work is positive ... and another part is negative." He proposes removing the negative part by pulsing, screening, a grid under the cathode, or switching off the anode source "before the emission electrons will reach the anode", so "the primary source is not discharging".

a. Mathematics. The statement is half right. For a static field with curl E = 0, the work integral of qE around any closed path is zero (Stokes' theorem). This is not an assumption about "positive and negative halves"; it holds path by path. Frolov is right that if the field is changed between the up-leg and the down-leg, the integrals no longer cancel. But then the field is time-dependent or the force is not a function of position alone, and the closed-loop theorem does not apply. The argument is internally consistent only as that trivial point. It never accounts for the energy needed to change the field.

b. Experiments. Consistent with all of them as a statement about modulated fields (cyclotrons, pulsed power, vacuum tubes all do net work on charges). Inconsistent with every measured energy balance if "without fuel" is meant: no accelerator or tube has ever output more energy than its modulating supply provides. Worked example for the "switch off the source before electrons arrive" scheme: an anode-cathode gap with capacitance C = 10 pF charged to V = 1 kV stores 0.5 C V^2 = 5 microjoules. Electrons accelerated across the gap gain their kinetic energy from that stored field energy (displacement current is what moves the charge on the plates). Cutting the source off just means the energy was supplied earlier, when the capacitor was charged; the next cycle must recharge it. Nothing is free. [own calculation]

c. Tests. None reported. The article gives no data for the tube, the grid-under-cathode design or the pulsed mode [read].

d. If true. Energy conservation (Noether's theorem for time-translation symmetry) would fail for ordinary electrostatics and circuit theory; the equation curl E = -dB/dt plus the Poynting theorem would need rewriting.

Verdict (split): - Weak form (a time-varying field can do net work on charges): Established. The energy comes from whatever varies the field. - Strong form (net work without fuel or compensating input): Refuted by calculation (the energy-budget example above; the Poynting theorem accounts for the energy). Also Never properly tested, since no measurement is offered.

Claim 2: A single-wire line with Avramenko's plug carries only wattless displacement current yet delivers real power to a load "for free" (home test: 2 kV, 10 nF, 5 Hz gives 0.1 W against 3 W input)

What Frolov writes [read, 1994 pp.1-3]: 30 V, 10 kHz generator into a step-up transformer (2-5 kV); two diodes on the single high-voltage wire; 10 nF capacitor load with a 0.5-1 mm spark gap sparking at 1-10 Hz. A = 0.5 C V^2, P = A f = 0.1 W, input "3 watts DC (0.1 A and 30 V)", so output is "about 3%" of input; "this small power is free since it is not connected with conduction current in source circuit." Second experiment, from Avramenko: 60 mA at 50 V, 100 kHz, "load power ... is equal to 3 Watts."

a. Mathematics. The spark arithmetic is right. The inference is not. (i) Output 0.1 W is well below input 3 W, so his own numbers do not show gain; "free" here only means the 0.1 W is not proven to be drawn from the source, but he reports no measurement of that. (ii) "Wattless" in engineering means reactive current, 90 degrees out of phase with voltage, which transfers no net power. If the current in the load really delivers power (a spark does), it is not wattless. A current cannot be "wattless" in the single wire and "wattful" in the load without a source supplying that power, since the real power at the load must equal the real power supplied at the generator, to within losses. (iii) The Avramenko-test figure "60 mA x 50 V = 3 W" multiplies two numbers on a pulsed, rectified waveform. Real power is the time average of v(t) i(t); unless both are measured as waveforms the product is not power. The article gives none. Internally, the number is not a measurement of power.

b. Experiments. The effect itself is conventional. A single wire plus the capacitance of the load to its surroundings gives a closed path through displacement current (the ground or air acts as the return, so "single wire" does not mean "no return"). A transformer secondary at kV, two diodes and a capacitor is a half-wave or voltage-doubler rectifier charging a capacitor, which discharges through the spark gap. This is textbook behaviour and quantitatively explains a 0.1 W output without new physics: the generator and transformer draw 3 W at 30 V whether or not the small load is present, because a 10 kHz inverter-transformer has magnetizing and ohmic losses of that order. Tesla's 1892 single-terminal lamps ran on the same capacitive-return principle [web: teslauniverse link above].

c. Tests. Frolov's own home test, with no control. The decisive control is missing: generator input power measured with the load connected and with it disconnected (and the diodes shorted). If input does not fall when the load is removed, the 3 W is idle losses and the 0.1 W is simply extra drawn power, a small increment on top. Further tests: VIESH single-wire systems up to 20 kW were built by Avramenko, Nekrasov, Strebkov and colleagues [web: viesh.ru above, search summary], and Frolov says 20-100 kW lines were "tested". I found no neutral, independently documented input-versus-output power balance for any of these. No replication of a gain is on record that I can cite.

d. If true. Real power would flow at a load with no corresponding drop in source power: violating energy conservation and the Poynting theorem (power flux S = E x B / mu0 into the load must equal what the source emits).

Verdict (split): - The effect as engineering (high-voltage single-wire capacitive coupling and rectification into a capacitor): Established. - "Free" power from displacement current: Never properly tested (no load/no-load input control; not dismissed without testing, since Strebkov's group did build systems, but no neutral power balance is on record). On the evidence in the folder, his own numbers show output at 3% of input, so the experiment does not support over-unity. A related claim, that "wattless" can become "wattful" without source cost, is Refuted by calculation (real power at the load = real power from the source minus losses).

Single settling measurement: input and output waveforms on a scope (true power = mean of v times i) with and without the load.

Claim 3: Resonance (Tesla transformers, standing waves, quarter-wave lines) can raise output until efficiency exceeds 100%

What Frolov writes [read, 2003 p.15]: Tesla "put the question on transformation of power in resonance transformer and by this way the efficiency can be more than 100%"; "Resonance mode of the free vibrations can be the real way to excess power output." In 1994: "It is possible to create high values of amplitude ... in a resonance mode"; "output power of the generator is not important."

a. Mathematics. Resonance in a driven series circuit raises amplitude: at resonance the voltage across the capacitor is Q times the drive voltage, with Q = (1/R) sqrt(L/C). Power is something else. Worked example: L = 1 mH, C = 1 nF gives f0 = 1/(2 pi sqrt(LC)) = 159 kHz; with R = 10 ohm, Q = (1/10) sqrt(1e-3/1e-9) = 100. A 10 V drive gives 1000 V across C. Input average power is V^2/(2R) = 5 W (peak amplitude 10 V); output into a load can be at most this. Efficiency = P_out / P_in cannot exceed 1 in a linear passive circuit, because energy stored in L and C grows only from the input over about Q cycles, and the average input power equals the dissipation. So the "high amplitude" is built from stored energy, not created.

b. Experiments. Every measured resonant transformer and RF system has efficiency under 100%. [memory, high]. No exception is known.

c. Tests. None offered. "Tesla ... efficiency more than 100%" is attributed without a source.

d. If true. Power balance (input minus loss) in linear circuits would fail; impedance matching theory would have to give gain from passive networks.

Verdict: Refuted by calculation for efficiency above 100% in a passive resonant network (the Q-factor example above). The weaker statement that resonance can raise voltage and output amplitude: Established. (Note a subtlety: "efficiency above 100%" appears only as an assertion; a system that appears so is usually measured wrongly, e.g. power factor ignored.)

Claim 4: Energy conservation is "generalized" to a 4-dimensional balance (load heat paired with an anti-entropy process in reversed time; the vacuum/aether is an unlimited source whose density sets the rate of time, per Kozyrev)

What Frolov writes [read, 2003 pp.11-13, 18]: "the entropy process in direct time (heat dissipation in load) should be balanced with equal anti-entropy process in reversed time"; "the total energy of four dimensional system is amount of energy of processes in time and energy of processes in reversed time, it is constant and it is equal to zero"; the vacuum is "unlimited energy source"; "this aether density determines the time rate"; seasonal and daily variation of aether density explains variations in Sweet's output.

a. Mathematics. Not a derivation, a verbal assertion. Points of internal tension: (i) he says total energy is zero as a sum of positive (forward) and negative (reversed) parts, but no equation defines the reversed-time energy, so nothing can be summed. (ii) "A + B = 0" and "0 = A + B" are written as if the second were a way to create A and B from nothing [read, p.14]; that is just the same equation read backwards, with no mechanism. (iii) He says the vacuum is an unlimited source, yet that in each Tesla receiver "the power can't be more than power of this generator" [read, p.15], and that generator power "is not important" in 1994. These two are not consistent with each other. (iv) The Naan quote concerns a hypothetical anti-world.

b. Experiments. No measured "density of time" or aether density exists. In the standard theory, the zero-point energy of the vacuum is not extractable as work from a ground state (a ground state is by definition the lowest energy state), so "vacuum as fuel" needs a non-ground-state reservoir. [memory, high] Kozyrev's torsion-balance and "density of time" experiments are not accepted as replicated by mainstream physics [memory, medium; not web-checked].

c. Tests. No test of the 4D balance is proposed. The seasonal-variation claim for Sweet's output is testable but rests on Frolov's remark ("It is known that VTA power output also was variable") with no data.

d. If true. Time-translation symmetry and the second law, causality (reversed-time processes acting on the present), and general relativity (aether density defining local clock rate, in conflict with clock tests) would all have to change.

Verdict (split): - The "generalized conservation" statement: Not testable as stated (no definition of reversed-time energy, no measurable difference from ordinary accounting). To the extent it implies energy output without compensation in ordinary measurements, it is contradicted by Claim 1 and Claim 3 calculations. - The aether-density sets-time-rate / seasonal-output claim: Never properly tested (testable in principle with a logged output-versus-time record; none provided). - The "unlimited receiver power" vs "can't exceed generator" contradiction: Internally inconsistent.

Claim 5: Others' anomalous devices (T. T. Brown, Sweet, Searle, Cooper, Hubbard, unbalanced wheels) are real examples of this effect, including reactionless thrust and gravity reduction

What Frolov writes [read, 2003 pp.15-19]: Brown's capacitors give a propulsion force and "the efficiency of electric system can be million to one"; Sweet's VTA showed weight decrease with output and 20 degrees self-cooling; Searle and Godin-Roshin (7 kW, 100 kg axial force) and others; unbalanced wheels run permanently if "two different physical systems"; Zaev's dielectric cooling gives electricity from heat.

a. Mathematics. Few equations. One correct and interesting point: a capacitor with unequal plates has a non-uniform field, and a neutral dielectric ball is pulled toward stronger field (force proportional to grad of E squared). That is standard dielectrophoresis. It is correct [memory, high] but the force on a ball in a fixed field gives no perpetual work: moving it needs the ball to leave the field, and the energy comes from the charged plates' source. Unbalanced wheels: for a conservative gravitational field, work around a closed cycle is zero; torque on a wheel with movable weights balances at equilibrium; "variable topology" restates the cycle but does not break the energy balance (lifting costs what falling gives).

b. Experiments. Brown-type force: an effect exists in air [web: Bahder and Fazi above], mechanism unsettled; but a force from a high-voltage supply that draws leakage current is not shown to be "without power input" (power in = V x I of the supply; I is the leakage/ion current). Frolov gives no thrust-per-watt measurement. "Million to one" is unsupported. Perpetual-motion wheels: no one has ever demonstrated one in a controlled test [memory, high]. Worcester 1620 is anecdote [read: Frolov cites archives, no data]. Sweet's VTA: the device was never certified by independent testing, and Sweet kept his conditioning procedure secret [web: search summary of https://www.rexresearch.com/sweet/1nothing.htm and cheniere.org Bearden page; these are advocate sites, so the independent-testing point is the reliable part: an absence]. Self-cooling magnets giving electricity would need a heat sink colder than the magnets, which is a thermodynamic problem (Kelvin-Planck): extracting work from one heat reservoir cycle-wise is impossible. The electrocaloric effect itself (dielectric cooling when field changes) is real [memory, high], but it is a heat-pump effect that needs a field source, not a heat-to-work gain. Searle effect: a real rotating-magnet/charge-separation phenomenon in principle; the claims of free energy and anti-gravity are unverified [memory, low]. Weight loss "proportional to output power": no balance data given; a 7 kW output at 100 kg axial force claims are only Frolov's report.

c. Tests. Brown: ARL preliminary tests (force found) [web]. Sweet: none independent [web]. Unbalanced wheels: the historical record contains many builds, all stopping; no source in the folder. Godin-Roshin: no independent test cited.

d. If true. Conservation of energy and momentum (reactionless thrust needs momentum going somewhere: into air, field or ions, otherwise Newton's third law fails), the second law, and the equivalence of inertial and gravitational mass.

Verdict (split by device): - Force on high-voltage asymmetric capacitors in air: Established as a phenomenon (mechanism open) [web]. - Brown "free power / million-to-one / reactionless thrust": Never properly tested (no power-in measurement given; in air momentum goes to air). - Sweet VTA: Never properly tested (no independent certification [web]); the self-cooling and weight-loss claims additionally conflict with thermodynamics if taken as reported. - Unbalanced wheels and Archimedes-screw loops: Refuted by calculation (conservative field, closed cycle zero net work); the historical ones are Historically superseded but instructive. - Searle, Godin-Roshin, Cooper, Hubbard, Hendershot: Never properly tested (only Frolov's second-hand reports; confidence in this assessment low-medium, no primary sources available). - Zaev dielectric cooling to electricity: Never properly tested; as a single-reservoir work extractor it would be Refuted by calculation (second law); as ordinary electrocaloric cycling, Established but not a power source.

Overall

Frolov's contribution consists of one conventional experiment (single-wire capacitive coupling into a rectifier) and a theoretical frame (potential field as free fuel, time-reversed balance) that does not connect to the experiment. His own measured numbers show 3% of input at the load and no control for what the source does with and without the load. The most useful thing for a learner is the Claim 1 and Claim 3 contrast: a static field cannot give net work around a loop; a resonance gives amplitude, not power.