Lakhovsky George: Physicist review (Step 2)

Reviewer: PhD physicist. Date: 2026-10-08. Project folder: Researchers/Lakhovsky George (read only). Tags: [read] project document or Investigator file (location given), [web] with URL, [calc] my own arithmetic (inputs stated; Python/numpy), [memory] with confidence.

Source note carried forward: all six project documents have readable text, but none is a primary laboratory record. The cited primary papers (Roffo, Metalnikoff, Nodon, Gurwitsch, d'Arsonval, de Cigna, Rigaux, the 1924 Societe de Biologie note) were not in the folder; what they found is Lakhovsky's report, except where the Investigator fetched a quotation. The Secret of Life copy has no figures and carries editorial layers ("Hatonn", "E.Y.") that are not Lakhovsky. The Investigator's downloads (1929 La Sante par les ondes, Kotzareff 1931, Nature 1940, L'Universion 1927, Contributo 1927, Pour rester jeune 1939, Brown 1994) were used only through the Investigator's notes plus three passages I re-read myself (Kotzareff p.40 W line, Kotzareff 200-300 W line, Nature 1940 Corynactis passage). I did not read L'Universion, Contributo or Pour rester jeune; verdicts on claims 5 and 6 rest on the 1941 book, The Secret of Life and the Investigator's description of those books.

How to read this (reader profile)

Lakhovsky's physics is the physics of 1920s radio: an LC circuit (inductor L, capacitor C) rings at f = 1/(2 pi sqrt(LC)) and radiates a wavelength lambda = c/f, where c = 3.0e8 m/s is the speed of light. He proposes that every cell nucleus is such a circuit, that disease is a "wrong frequency", and that a spark-gap device emitting many wavelengths at once cures it. Everything below checks that chain link by link: the circuit, the energy supply, the apparatus, the evidence for cures, and the cosmic-radiation add-ons.

Mainstream view, stated fairly

• Cells are electrically active: a resting membrane potential of about -70 mV across a membrane about 7 nm thick is a field of about 1e7 V/m [memory, high]. Ion channels, nerve impulses and cardiac rhythms are real electrical oscillations, at Hz to kHz.
• Tissue is an electrolyte. Intracellular and extracellular fluid conducts like dilute sea water (conductivity sigma about 0.5 to 5 S/m) [memory, high]. Charge in such a medium relaxes in tau = epsilon/sigma, about 1.4e-10 s for sigma = 5 S/m and relative permittivity 80 [calc], so above roughly 1 GHz tissue is dominated by dielectric loss and absorption, and electric fields are heavily damped.
• Radio-frequency (RF) fields interact with tissue mainly by heating (dielectric and ohmic loss, quantified by SAR, specific absorption rate in W/kg). Controlled heating to 41-43 C is an established adjunct to radiotherapy [memory, high]. Whether sub-heating RF has specific biological effects is a real, contested research question; the thermal side has the better experimental record.
• Certain non-thermal electric-field therapies do have trial evidence, with a different mechanism. Tumor Treating Fields (TTFields): 200 kHz alternating fields on the scalp added to temozolomide, in the EF-14 phase III trial of newly diagnosed glioblastoma: median overall survival 20.9 vs 16.0 months, HR 0.63, p<0.001 [web: https://pmc.ncbi.nlm.nih.gov/articles/PMC6009218 and https://ascopost.com/issues/july-25-2015/new-concept-for-brain-tumors-tumor-treating-fields/ , from a search summary; I did not open the trial paper]. Proposed mechanism: interference with mitosis (dividing cells have a strongly non-uniform field at the cleavage furrow) [memory, medium]. This is evidence that a frequency-specific, non-thermal field can act on dividing cells. It is not evidence for resonant circuits in the nucleus, and the frequency (hundreds of kHz) is far below Lakhovsky's infrared cell frequencies.
• Cancer is mainly understood as accumulated somatic mutation (multi-stage; incidence rises roughly as a power of age, Armitage-Doll) [memory, high]. UV causes skin cancer by DNA photodamage (pyrimidine dimers) [memory, high].
• Radioactive decay constants of alpha, beta-minus and beta-plus emitters are independent of external conditions; alpha decay is quantum tunnelling (Gamow 1928) [memory, high].

Claim 1. Every cell is an electrical oscillating circuit (chromosomes as insulated conducting filaments, resonating in the infrared, powered by cosmic radiation)

a. Mathematics. The text has no equations (Secret of Life deep read: "no formulas on these pages"). The Corynactis viridis "calculation" gives no length, L, C or wavelength; only "infra-red". Two stated recipes: (i) half-wave rule lambda = 2 x filament length; (ii) lumped LC. The deep reader's reconstruction (assumed inputs, not Lakhovsky's) gives 2-20 micrometre wavelength (1.5e13-1.5e14 Hz), consistent with "infra-red" [read: deep/The-Secret-of-Life, section 3.4]. I re-derived it [calc]: straight filament, length 10 um, radius 0.1 um: L = (mu0 l / 2 pi)(ln(2l/a) - 1) = 8.6e-12 H; C = 2 pi eps0 l / ln(l/a) = 1.2e-16 F; f = 4.9e12 Hz, lambda = 61 um. Internally the arithmetic is fine. Two internal tensions: the cell wavelengths are micrometres but the cosmic-wave reply to the lead objection invokes "several thousand metres" (7 m lead reply, Secret of Life p.25), and the 1925/29 text objects at 7 m of lead while the 1941 book says "11 meters of lead" (Radiations and Waves p.59): the figure moved upward between books with no source. So the model is not self-consistent, but each calculation is arithmetically possible.

The decisive check is one Lakhovsky never made: damping. Same filament, filled with sea-water-like fluid as he says ("filled with a conducting fluid containing all the mineral salts found in sea water", Waves That Heal p.13-14): R = l/(sigma pi a^2) = 3.2e8 ohm (sigma = 1 S/m) to 6.4e7 ohm (sigma = 5 S/m). The critical resistance for oscillation is 2 sqrt(L/C) = 530 ohm. The filament's resistance is about 1e5 to 6e5 times too large, giving a quality factor Q = omega L / R of about 1e-6 [calc]. A Q far below 1 means there is no ringing at all; the "circuit" is a lossy resistor-capacitor, and the answer is nowhere near infrared radiation. Also, an electrolyte carries current by ion drift, which has no meaningful inductance at these frequencies; the L in the formula is a metallic-wire concept [memory, high]. Water absorbs strongly in the mid-infrared (absorption length of order 10 micrometres) [memory, medium], so a 10 um IR wave would not propagate over a cell anyway.

b. Experiments. No measurement of a cellular radiation spectrum, resonance or emission at these wavelengths is cited. Related real findings: ultra-weak photon emission from cells (biophotons, optical, from oxidative metabolism) exists [memory, medium]; Gurwitsch's "mitogenetic rays" (cited by Lakhovsky, Secret of Life p.25, no reference) were not reproduced in the 1930s [memory, medium; not web-checked]. Nodon's electrometer results (plants discharging an electrometer in 25-500 s, 3-15 times uranium, Secret of Life p.24) are second-hand, single-source, with no controls described; I give them as the claim of one cited observer, not dismissed, but ionisation of air by plant volatiles, humidity and contact potentials are untested alternatives. Biology: the Nature reviewer (James Ritchie, 26 Oct 1940) identified the Corynactis "oscillating circuits" as "the thread of the cnidocyst", part of a stinging cell "the primary purpose of which has certainly nothing to do with emitting radiations" [read: research/pages/nature-vol146_djvu.txt line ~15520; Investigator found it]. I re-read that passage: it is a contemporaneous specialist identification of the very figure Lakhovsky used as his model. The 48-chromosome count in the 1941 book was the accepted figure then; 46 was established in 1956 [memory, high].

c. Tested? Not by anyone I can find. The cell-oscillation theory was reviewed, not tested: Nature 1940 called it unsubstantiated "tenuous speculations" while allowing that "cells may emit and receive radiations". Roffo is quoted as finding in-vitro results "compatible with" cellular oscillation (1941 book, p.56, Lakhovsky's translation), a weak statement with no data given. No replication found. PubMed search by the Investigator found no experiment on it.

d. If true: electrolyte physics would need an unknown low-loss conduction channel inside cells; the cell would need to be a thermal-noise-beating resonator. [calc] At 1e13 Hz one photon h f = 6.6e-21 J, about 1.5 kT at body temperature (kT = 4.3e-21 J), and the body itself radiates thermal infrared at those wavelengths. Any infrared "cell frequency" is swamped by the cell's own and the environment's 310 K thermal radiation, which is millions of times stronger than any cosmic infrared. Energy source: see claim 5.

Verdict: Refuted by calculation (strong form: a metallic-style LC resonator at micrometre scale in electrolyte, damped by roughly 5 orders of magnitude). The softer form, that cells emit or respond to weak EM fields, is Plausible, untested in the sense the books mean it, and is a live research area (Frohlich-type coherence hypotheses, TTFields), but the books give no evidence for it.

Claim 2. Disease and cancer are oscillatory disequilibrium: a "war of radiations" between the cell and a microbe, a "radio-active" hydrocarbon (irradiated cholesterol, per Roffo), or altered cell constants

a. Mathematics. Verbal only. The "mineral ratio 40 instead of 29" worked example (Secret of Life p.65) is a supposition with no frequency computed from it; no equation ties composition to frequency. The heterodyne analogy (microbe as local oscillator mixing with cell signal) is a radio metaphor with no frequencies or coupling. Internal inconsistency in the cancer mechanism: radiation of "very high frequency" reinforces the mitochondria (chondromes) and interferes with chromosomes of "much lower" frequency (1941 book p.56), yet the remedy is waves "higher than the destructive radiations" for the chromosomes. The book's own table (Rivera, p.54) lists hertzian waves as "stimulative" and says nothing about "cancerogenic"; the "malevolent and cancerogenic above yellow" rule is Lakhovsky's gloss (deep read section 3). The Rivera table is internally inconsistent: hertzian band 0.25 mm to 30,000 m is 26.8 octaves, not 22 [read: deep section 3; checked].

b. Experiments. Real, established: UV and sunlight cause skin cancer (Roffo reported it in mice/rats, "corroborated by other authors" per a 1939 Nature abstract [web: https://www.nature.com/articles/144246a0 , as relayed in a search summary]); the mechanism is DNA damage, not cholesterol radioactivity. Roffo's further claim, tumours in 55% of animals fed irradiated cholesterol with none in controls (reported as mice in one book, rats in the other, Radiations and Waves p.53-54 vs Secret of Life), is a single reported result: no direct replication found. A 1948 British Journal of Cancer paper (Kirby) reports that Roffo's related 1938-41 claims of stomach tumours in rats fed heated fats or cholesterol "have not been confirmed" (Beck and Peacock 1941, Morris et al. 1943, Kirby 1943-45) [web: search results via https://www.ncbi.nlm.nih.gov/pmc/articles/PMC2008681/ ; that is a heated-fat test, not irradiation, so not a direct test]. The same Nature note judged Roffo's chemical evidence "not convincing" because no reaction product had been isolated. "Radio-active" appears only in Lakhovsky's paraphrase; Roffo's own quoted letter says "photo-active and luminescent agent" (deep read 2a.6). The formula C21H36O8 printed for "irradiated cholesterol" is not a plausible photo-oxidation of C27H46O [read: deep section 2a.5; memory, medium]. UV irradiation does not make nuclei radioactive [memory, high]. Metalnikoff's radon-and-Sarcina result (22 May 1939) is a radiation-induced morphological-variation finding; the quoted conclusion mentions nothing about oscillation (deep section 4). Roussy et al.'s thorotrast rats (11/17 and 4/5 sarcomas) are consistent with later-established carcinogenicity of thorium dioxide, which is an alpha-emitter [memory, high]; it confirms radiation carcinogenesis, not oscillation. The typhoid/coli experiment (opposite poles in a DC field) is ordinary electrophoresis; the jump to "different frequency" is Lakhovsky's inference. The bacteria-in-culture-unaffected observation (cultures grew normally under the transmitter, Secret of Life p.28) is his own, unquantified.

c. Tested? The oscillation form: never tested. The cholesterol/Roffo form: partly tested by others (heated fat negative), irradiated form not replicated by anyone I found; the Investigator's PubMed and Google queries on Roffo returned nothing usable.

d. If true: carcinogenesis would be a resonance phenomenon and not a mutation-selection process; the somatic mutation theory, the age-incidence curve and DNA repair deficiencies (xeroderma pigmentosum) would need a different explanation.

Verdict: split. (i) "Cancer cells oscillate at a different frequency / interference of radiations is the cause": Not testable as stated (no frequency, amplitude or coupling is given; nothing measurable follows). (ii) "Irradiated cholesterol is a radioactive carcinogen": Never properly tested for the irradiated form (Roffo single-source, heated-fat variant not confirmed); the radioactivity part is Refuted by calculation/accepted nuclear physics (UV cannot induce radioactivity). (iii) UV skin carcinogenesis itself is Established, by a different mechanism.

Claim 3. Restoring cell oscillation cures: the 2 m (150 MHz) Radio-cellulo-oscillator and an open copper spiral necrosed crown-gall tumours on geraniums in about 16 days, and worn open circuits (collars, belts) relieved illness in practitioners' letters of 1928-29

a. Mathematics. 2 m is 150 MHz (c/lambda = 3.0e8/2 = 1.5e8 Hz) [calc; matches book]. 2-10 m is 30-150 MHz, not the unattributed bracket "100-200 million cycles" in the Secret of Life copy (deep section 7; my check agrees). The open circuit "patent" (CH 135072/FR 657295, filed 26 Oct 1927) states a plant spiral wavelength "a peu pres 2 m" and no energy source of its own [read: Investigator, sites.md; web https://patents.google.com/patent/CH135072A/fr ]. A passive open loop only re-radiates ambient fields. [calc] Maximum capture of a resonant antenna of effective area about lambda^2/4pi = 0.3 m^2 (150 MHz) in a strong ambient field of 1 V/m (power density 2.7 mW/m^2) is about 0.8 mW; in a typical urban 0.01 V/m field it is of order 1e-7 W [assumed fields]. A human body dissipates about 100 W. So the energy delivered by a collar or belt is about a million to a trillion times less than metabolism; no physics mechanism there.

b. Experiments. The one hard datum is the 1924 note (C. R. Soc. Biol. 91, 626-628, 26 July 1924; Gosset, Gutmann, Lakhovsky, Magrou; fourth author J. Magrou of the Pasteur Institute made the Bacterium tumefaciens tumours on Pelargonium zonatum). As quoted in a 1925 press article on the seller's site: 3 treated plants (2x3 h, 11x3 h, 3x3 h) all began to necrose about 16 days after the first session; 16 untreated controls all kept growing tumours; apparatus about 2 m, 150 MHz [read: Investigator research/2026-10-08-colysa.md; colysa.ch is a Lakhovsky-device seller with a stake; the same citation is independently given by Roussakow 2013 and Kotzareff 1931]. Weighing this: it is a real, co-signed communication by a Paris surgeon (Gosset) and a Pasteur Institute plant pathologist, reported without prior ridicule; Kotzareff, a physician with a rival method, calls it "seule et unique au point de vue experimental" (research note). But I note: (1) n = 3 treated against 16 controls; if allocation were random an exact 3-of-3 vs 0-of-16 split has one-sided probability 1/969, about 0.001 [calc], but nothing says plants were randomised, matched for tumour age or inoculation batch, or that the observer was blind. (2) The dose does not scale: 6 h, 33 h and 9 h total exposure all give necrosis starting at about 16 days, which is odd for a dose-driven effect and fits a threshold, a timescale set by the tumour or by something unrelated to dose. (3) Crown-gall galls are known to die from poor vascular connection ("the galls often die from poor nutrition and lack of water", Erwin Smith, relayed through a search summary [web: https://archive.org/download/biostor-212203/biostor-212203.pdf ; I did not open it]); I could not find a source on how often Pelargonium galls necrose spontaneously, so this is an open control question, not a finding. (4) Exposure details are missing: no field strength, distance, plant temperature or thermometry. The Investigator found one power figure: Lakhovsky told Kotzareff the transmitter drew 40 W absorbed (input) power [read: Kotzareff 1931, line 3741, "quarante watts de puissance absorbee"]. I add the passage the Investigator's note leaves out: Kotzareff writes that wave action is "surprenant" only if the useful power of the emitter exceeds "200 a 300 watts utiles", up to a kilowatt for human cancer (line ~4010). That is a rival worker's statement that heating-scale power is what he considered necessary, and it bears on the thermal question. (5) A thermal explanation cannot be excluded. [calc, inputs assumed] If 10 percent of 40 W is radiated, the free-space power density at 0.3 m is about 3.5 W/m^2... (40 W isotropic gives 35 W/m^2, E about 115 V/m; at 0.1 m about 346 V/m). A thin plant stem parallel to E sees roughly the external field inside. Tissue sap with sigma about 0.5 S/m heats at 1 K/min (about 63 W/kg, specific heat 3.8 kJ/kg K) when the internal rms field is about 355 V/m [calc]. So a plant within about 10-30 cm of an efficient 40 W transmitter for 3 hours could be heated by tens of degrees in the absence of cooling; actual cooling by transpiration and air and the true radiated fraction are unknown. The delayed necrosis (16 days) does not look like an acute scald, which cuts against simple burns, but sub-lethal heat damage to a poorly vascularised gall that then dies back is not excluded. Roussakow (2013) reads the note as "mainly or entirely not temperature dependent" (Investigator note); he is a historian with a position favouring non-thermal RF effects, and the quoted note contains no temperature measurement I can see.

Related, same band: Schereschewsky (US Public Health Service) 1926 and 1928, 8-135 MHz fields killing mice and destroying mouse tumour grafts (23 percent complete remission at 67 MHz per Roussakow) "without substantial heating", then in 1933 accepting the thermal interpretation after criticism [read: Investigator research/2026-10-08-wiley-roussakow.md; primary in Public Health Reports 41 no.37 and 43, not read]. This is the closest mainstream parallel and shows the issue was open in the 1920s-30s and settled toward heat. Farrell 1982 files Lakhovsky inside hyperthermia history (Adv Exp Med Biol 157:9-10; not read). The 1950 Le Haut-Parleur list of about 30 workers after Lakhovsky (Rivera, Castaldi, Metalnikoff, Roffo, Postma etc.) shows a field of short-wave bio studies; it gives no data (Investigator note); I record it as context, not as replication, since none of those works was opened. The Investigator also found a Cabinet magazine essay and the seller material; not opened.

Collars and belts (1928-29): practitioners' testimonials (Perineau, Sister Marie de l'Annonciation, Vaccaro, Cincin, Prof. Remond letters in the 1929 COLYSA booklet), published in Lakhovsky's or his company's own booklets (Waves That Heal section 8; La Sante par les ondes). They report symptom relief (rheumatism, phlebitis, back pain) and recurrence when a collar broke. These are uncontrolled, subjective-endpoint reports from users of a product sold by the author's company, a classic setting for placebo and regression to the mean. The "relief returned when the collar broke" observation is anecdote that a controlled design could test (sham collar); none was done. Prof. Attilj's reported report to the 1928 Florence radiology congress is a named, checkable lead not obtained.

c. Tested by whom? Gosset/Gutmann/Magrou with Lakhovsky (1924, n=3 plus 16 controls); no independent replication of the geranium result found by me or the Investigator. Clinical use of collars: no controlled trial.

d. If true: non-thermal RF at 30-150 MHz and mW-level exposure would need a selective effect on tumour tissue; a passive wire loop would need to supply detectable bioeffect from microwatts, contradicting dose-response in every other RF study.

Verdicts (split): (i) 1924 geranium result: Never properly tested (one small, uncontrolled-for-heat experiment; not replicated; dismissed without testing by neutrality; the thermal alternative is not excluded). (ii) Mechanism of the passive collar/belt: Refuted by calculation (available power 1e-7 to 1e-3 W, against about 100 W metabolism and 1 W/kg SAR for any RF effect). (iii) Clinical relief from collars: Never properly tested.

Claim 4. The Multiple Wave Oscillator (MWO), US 1,962,565 and US 2,351,055: spark-gap-excited concentric split rings emit 10 cm to 400 m with harmonics to the infrared, "since 1931" cured cancer and other conditions with no contra-indication ever reported

a. Mathematics. The patent US 1,962,565 (filed 13 Nov 1931, French priority 2 May 1931, granted 12 June 1934) gives no wavelength, voltage, ring size or medical use [read: deep/US1962565]. Its stated theory is only: open rings with their own self-inductance and capacity oscillate on their own wavelength when shocked by a discharge; therefore a set of rings gives many wavelengths and one will fit. That is correct elementary radio engineering: a trembler/spark source is a damped, broadband driver [memory, high]. The numbers come from the books: fundamentals "from 10 cms. to 400 metres, corresponding to frequencies of 750,000 to 3 milliards per second", harmonics to the infrared (1-300 trillion Hz); in the same paragraph the field is said to run from "3 metres to the infra-red" [read: Waves That Heal p.30]. Arithmetic: 400 m is 0.75 MHz and 10 cm is 3 GHz, correct conversions. Contradictions: "3 metres" vs "10 cm" fundamentals in one paragraph; Rigaux's report gives "10 to 400 metres", which would be 30 MHz to 0.75 MHz not 3 GHz (1941 book p.52 vs p.35); "electrostatic" (p.30, 33) vs "electro-magnetic" (p.31) with a visible brush discharge (Fig. 3, p.32). Physical plausibility [calc, my assumed ring sizes]: a single-turn ring of diameter 0.5 m, wire radius 5 mm has L = mu0 R (ln(8R/a) - 2) = 2.9e-6 H; with a gap capacity of 10 pF, f = 29 MHz, lambda 10 m. To ring at 400 m (0.75 MHz) the same ring needs C about 15 nF, impossible with the small spheres of the patent claims; a 400 m half-wave dipole is 200 m long. So concentric rings of ordinary size cannot give a 400 m fundamental; shorter limits (about 10 cm) need rings a few centimetres across. The range is plausible only if the 400 m end comes from the primary L1-C-spark circuit, which the books do not say. Harmonics "as far as the infra-red": a spark gap does produce wideband noise and corona and UV and light from the discharge itself; calling the radiation of 1e14 Hz "harmonics of the rings" is not a statement with a calculation behind it.

Power and exposure [calc, assumed]: a transmitter radiating 1 W isotropically gives 0.08 W/m^2 at 1 m (E about 5.5 V/m), SAR of order 1e-4 W/kg, far below metabolic 1 W/kg. So far-field RF from a small spark coil does not heat tissue, consistent with the "does not heat" claim, and by the same arithmetic delivers energy far below known thresholds for biological effect from far-field RF. What the patient sits in (Waves That Heal: patient between two ring sets 4-5 feet apart, 15 minutes, with visible corona) is a strongly non-uniform near field, plus corona discharge producing ozone, nitrogen oxides, ions and light; those, and high-voltage skin effects, are plausible non-"frequency" agents. Historical context: high-frequency spark "fulguration" (de Keating-Hart, d'Arsonval's high-frequency currents) was used by surgeons on skin tumours in the early 20th century [memory, medium; not web-checked]. The Swiss family member CH 164027 (1933) adds therapy and "artificial sun" gas-filled tubes [Investigator; web https://patents.google.com/patent/CH164027A/fr ]; the US 2,351,055 tube patent (filed 21 Nov 1941, granted 13 June 1944 posthumously, assigned to Henry S. Blum, Chicago) gives no wavelength, voltage or medical claim either [read: deep/2351055].

b. Experiments and clinical evidence. Cases in Waves That Heal and the 1941 book: Mme C. 68, rodent ulcer at inner eye angle (biopsy-confirmed in the booklet), MWO from 8 Sept 1931, gone 19 Nov 1931; M.M. 80, naevo-carcinoma of the arm, 7 sessions, "six months" to resolution, seen alive at 90 in 1941; Mme S. 82, epithelioma of the cheek, previously operated and radiumised 1929-30, treated 26 Apr-12 May 1932 and declared well 28 May; J.S. 61, basal-cell carcinoma, 13 Oct-29 Dec 1931; a woman with exophthalmic goitre (11 Jan-4 Mar 1938, 7 weeks, no thyroid tests reported); three prostate cases (de Cigna, Rigaux; Dr. H. in Brussels, five prostatitis cases); duodenal ulcers radiologically controlled by de Cigna (hundreds of patients since 1934, reported to the Genoa Royal Academy of Medicine and the Vienna short-wave congress, July 1937) [read: deep/Waves-That-Heal]. Strengths: named hospitals (Saint-Louis, Calvary), dates, photographs, some biopsy confirmation, follow-up of years in some, independent clinicians (Rigaux, de Cigna, Gentile, Henry) named as users, a 1933 Rigaux report that admits "a few negative results" in advanced disease, and Lakhovsky's own 1941 admission of "some failures". The Nature reviewer (Ritchie, 1940) concedes the apparatus "may work and apparently has worked marvellous cures in cases of cancer, goitre and enlarged prostate" while saying that "does not prove that its electric radiations acted upon hypothetical cell-oscillations" [read: Investigator note, archive.org Nature 146]; that is the contemporary scientific press separating the clinical reports from the theory. I keep both parts on the record.

Weaknesses a physicist or trialist must state: there is no denominator (how many patients were treated and failed); these are the best cases reported by the device's maker and his practitioners; basal-cell carcinoma and rodent ulcers are slow, often respond to many local irritants, and lesions previously radiated can ulcerate and heal; two of the cases had prior X-ray or radium; the tumour for Mme S. was 6 cm with nodes and oedema, an unusually fast response in 16-35 days for either hypothesis, and the retellings differ (treatment count "two" vs "four", "three weeks" vs 35 days, the date of the operation "1939" sic in the 1941 text, and a retelling that adds anecdotes about Queen Amelie and the Duchess d'Uzes with no independent record) [read: deep Waves That Heal section 9]; goitre and prostate conditions fluctuate and respond to nonspecific measures; "no contra-indication has ever been reported" is absence of reports, not a safety study, and the booklet's "without exception ... no recurrence" is stronger than the 1941 text supports (discrepancy 14). The 1941 New York hospital trial table and the 1945 George Lakhovsky Institute of Multiple Waves (ncip.by, a state patent office's unsigned biography) have no outcome record found (Investigator: records to pull are death certificate, 1945 incorporation, Blum). That is an anomaly in the record: a device said to have cured cancer since 1931 left no trial report in indexed literature, no regulatory (FDA, Post Office) file found, and only seller-linked material after 1945. Competing explanations the record could settle: commercial failure and disappearance of the company; the war (Lakhovsky left France in 1941); the death of the inventor in 1942 (struck by a limousine, per ncip.by); lack of institutional interest. I cannot choose among these from the sources. Investigator's gap: Gallica, BHL, SUDOC blocked; CR Soc Biol 91 and CRAS 188 p.657-659 (d'Arsonval's remarks) not read.

c. Tested? Clinical case series by interested and by independent clinicians in the 1930s; no randomised, blinded or sham-controlled trial; no replication under controlled conditions that I or the Investigator can find. PubMed (Investigator): two hits only, Farrell 1982 and Reid 1989, the latter a hypothesis naming "Lakhovsky's non-linear oscillators" among destabilisers of growth filaments. A later patent (EP 2862596 A1) says MWO "used cw systems with some (though limited) success" (applicant's characterisation; not opened). Seller sites and Brown's 1994 handbook (Borderland Sciences; publisher with a market for MWO material [memory, medium]) are interested parties.

d. If true: if a broadband spark-gap field cured cancers, both RF dosimetry (far-field microwatt exposures producing tumour necrosis) and oncology (tumour response to nonionising fields) would need rewriting; more simply, the effect would be explained by corona byproducts, nonspecific heating or local irritation, which mainstream physics already contains.

Verdicts (split): (i) The apparatus emits many wavelengths from a spark-excited ring set: Plausible, untested in the specific wavelength range claimed (a spark coil is broadband, but the 10 cm-400 m rings cannot all be fundamentals of the rings; see numbers). (ii) The specific wavelength specification: Internally inconsistent (3 m vs 10 cm; electrostatic vs electromagnetic; unit slip in Rigaux). (iii) Cures of cancer and other disease: Never properly tested (case reports only; not dismissed without testing in the sense of an outright trial refusal, but no neutral controlled test is on record). (iv) "No contra-indication ever reported": Not testable as stated (absence of reports; no surveillance).

Claim 5. Radioactivity and the supposed carcinogenic radiation are driven by cosmic "universion" waves: a 25 m lead sphere would stop radium's radioactivity, young skin screens such radiation until about 40-45, and the oscillator restores the skin's screen; cosmic radiation also sets species, heredity and the geography of cancer

a. Mathematics. The lead-sphere thought experiment (1941 book p.59): "25 meters in diameter" then "25 meters thick"; cosmic rays "can traverse a maximum thickness of 11 meters of lead"; hydrocarbon radiation needs only "a fraction of a millimetre". Inconsistent in the passage (diameter vs thickness; lead as shield against incoming cosmic rays vs as shield against the hydrocarbon's own emission) and across books (7 m in the Secret of Life reply, 11 m here). Mass of such a sphere: 4/3 pi (12.5 m)^3 x 11,340 kg/m^3 = 9.3e7 kg [calc]. The skin argument uses 45 (heading), "about 40" (p.59) and 50 (p.61); the Secret of Life uses a different age-40 mechanism (globulin excess) [read: deep section 6]. The argument needs the skin to screen outside radiation while the hydrocarbons sit inside the body from food, which it does not reconcile.

b. Experiments. Radioactive decay constants do not depend on cosmic-ray flux. The fixed relation N = N0 exp(-lambda t) has been verified with the same sources at the surface and in deep underground laboratories where muon flux is cut by about 10^6 (Gran Sasso) [web: https://arxiv.org/pdf/1311.7043 , summary of the search; underground labs reduce cosmic-ray background and are used to look for tiny decay modulations, they do not find radium stopped]. Curie and Kamerlingh Onnes (1913) found a radium preparation's decay constant unchanged within 0.1 percent at 20 K [web: via search summary, source paper arXiv 0910.4338 context; I did not open the 1913 paper]. The exceptions are small chemical-environment effects on electron-capture decays such as Be-7 [web: same searches]; they are not alpha-decay shielding effects. Alpha decay of radium is explained by tunnelling through the Coulomb barrier (Gamow, Condon and Gurney, 1928) without any external driver, before Lakhovsky's 1941 book [memory, high]. Cosmic muons were detected under hundreds of metres of water by the 1930s [memory, medium; not web-checked], so "11 m of lead maximum" was not the state of knowledge in 1941. The energetic claim in the 1941 book that body temperature comes from Joule heating of cells by cosmic waves is easily checked: ionising natural background of about 2.4 mSv/yr in a 70 kg body deposits 0.17 J per year; basal metabolism of 100 W deposits 3.2e9 J per year; ratio 5e-11 [calc; background dose 2.4 mSv/yr is UNSCEAR world average, memory, high]. The only way cosmic radiation could supply body heat is if "universion" is not conventional cosmic rays; but then it has no detectable signature. The skin-screen theory contradicts the measured mechanism of UV carcinogenesis (UV is absorbed in the outer skin layers at all ages; the lifetime accumulation of DNA damage and the multistage mutation process explain the age rise) and does not address cancers of internal organs and childhood leukaemia.

Soil and the geography of cancer: Lakhovsky's Contributo and Revue generale des Sciences article (not read by me). Real geographic cancer variation does exist (radon from some geologies, arsenic in water, UV latitude, diet) [memory, high]; his mechanism (electrical constants of soil and cosmic fields) is untested and untestable as described in the books I read.

c. Tested? "Universion" is Lakhovsky's term for what he equates with cosmic waves, "infinitely elastic forces" (1941 book p.59); no experiment tests it. The lead-sphere experiment was not performed. Decay-rate tests contradict it. The oscillator-rejuvenates-skin claim rests on physicians seeing "younger texture and more colour" after weeks, no histology (deep section 6). Photo evidence for Mme S. exists as figures in the books, but I could not examine them independently.

d. If true: nuclear decay would no longer be spontaneous tunnelling with fixed lambda; the decay law, geochronology, nuclear-waste half-lives and the cosmic-ray shielding in every deep laboratory would be affected.

Verdicts: lead-sphere/radium-decay claim: Refuted by calculation and by experiment (decay-constant independence). Skin-screen-until-45 claim: Tested, not supported in the sense that the mechanism of skin carcinogenesis is known and contradicts it; the age-45 figure is internally inconsistent (40/45/50). Cosmic radiation as source of body heat: Refuted by calculation (ratio 5e-11). Geography of cancer via soil conductivity: Never properly tested (partial, other mechanisms real).

Claim 6. The method works on heredity and the next generation: treating prospective mothers (three cases, "the Child of the Waves") produces healthier children; municipal pre-marital treatment proposed

a. Mathematics. Heredity placed in nuclear resonance: "the specific differentiation of the nucleus is due to its power of vibrating in accordance with a wavelength determined by the diameter of the circuits" (Secret of Life p.62); dominant gametes are those whose wavelength is closest to the sex standard. No mechanism for copying or mutation; no numbers. 48 chromosomes (p.62), the accepted count in 1941, corrected in 1956 [memory, high].

b. Experiments. Three cases of mothers treated in pregnancy (e.g. a tubercular woman of 24 treated in 1932, 1941 book p.62) are anecdotes; I did not read the end of that account in the deep reads. The heredity mechanism was settled elsewhere: Avery-MacLeod-McCarty 1944 (DNA), Watson-Crick 1953 [memory, high]. The claim that disturbed oscillation is "inevitably inherited" has no data.

c. Tested? No; three cases, no controls, and the method (maternal treatment) would be confounded by prenatal care, social class and chance. The earlier Pour rester jeune (1939; not read beyond its opening, Investigator) is directed to biologists and concerns spermatotherapy, i.e. a different line.

d. If true: heredity would be carried partly by an EM property of the nucleus; contradicts the whole of molecular genetics.

Verdict: split. Heredity-by-nuclear-vibration: Historically superseded but instructive (a coherent early-20th-century alternative to the chromosome theory, with no mechanism of its own, replaced by DNA). Benefit to offspring of treating mothers: Never properly tested.

Claim 7. Later citation: Lakhovsky "treated and cured cancer patients until 1942" and a precursor of Rife and Priore; MWO supplies missing frequencies of a "polychromatic" healthy spectrum (Winey, US 2007/0258329)

a. Mathematics. None; a rationale chain: Lakhovsky, Rife, Priore reported to help cancer by correcting oscillations; dissipative structures (Prigogine); Mae-Wan Ho's "polychromatic" healthy spectrum; missing/excess frequencies; treatments that "supply frequencies" include multiwave oscillators beside sunlight, music, prayer, essential oils, flower essences [read: deep/piezo, [0109]-[0118]]. The application is for golf-shaft / putter technology using phi ratios; the applicant (Winey) has a commercial and legal stake; the Lakhovsky passage is background, not an experiment [read: deep/piezo].

b. Experiments. None by the applicant. The citation "until his death in 1942 he treated and cured a number of cancer patients (Lakhovsky, 1939)": a 1939 source cannot document 1939-42; Lakhovsky emigrated to the USA in 1941 and died 31 Aug 1942 (ncip.by) [Investigator]. Rife and Priore are described as inventors of other equipment (cited to Bearden 1988, itself a secondary and committed source), not as MWO users, though the sentence's wording invites that reading. The frequency "holes" claim (the healthy forest, heart-rate variability list) is the applicant's, unsourced beyond Ho.

c. Tested? No. d. If true, no particular physics would change: it is an interpretive framework.

Verdict: Not testable as stated (as a polychromatic-frequency framework); the specific citation overstates its source (cure "until 1942" not documented). I keep it in the record as an interested party's characterisation, with the Hatonn/Crile/Rife/Priore editorial statements (Secret of Life p.67: "Lakhovsky's theories have been proven beyond any shadow of doubt") classified the same way: the editor sells related products ("Drias", "Gaialyte", "OxySol", per deep section I), and no Crile publication is cited. That text is not Lakhovsky and not evidence.

The Investigator's findings, weighed (kept whatever my verdict)

Priority 1, own work: the Swiss/French patent family (FR 732276, FR 42146E, CH 164027) is useful: the Swiss text names therapy and "veritable soleil artificiel"; the US text has no medical word. This corrects the impression, from the US patent alone, that Lakhovsky never claimed a medical use in his patents. The open-circuit patent CH 135072 with "no source of energy of its own" matches my energy calculation: Lakhovsky himself says there is none. The Kotzareff 40 W figure is the single most useful number for the heating question, together with Kotzareff's own "200-300 W useful" line (above). Own books downloaded (L'Universion, Contributo, Pour rester jeune) and the cited-not-found works (L'Oscillateur a ondes multiples, 1932; La Science et le Bonheur) still need a read for claims 5 and 6.

Priority 2, supporters: 1924 note details (n=3/16, Magrou) are kept; Kotzareff's independent endorsement of its uniqueness is kept and does not amount to a replication; Prof. Remond, Prof. Attilj letters are in a company booklet (stake). Roussakow's non-thermal reading is kept as an author's interpretation.

Priority 3, related work: Schereschewsky (mouse tumours at 8-135 MHz, 1926-28, thermal reinterpretation 1933) is the most relevant; Le Haut-Parleur 873 (1950) as a map of the field; Reid 1989; EP 2862596; MWO sellers. The TTFields precedent added by me is not in Investigator files.

Priority 4, history: Nature 146 (1940) is the key contemporary review; the Corynactis identification is verifiable. COLYSA (26 rue des Marronniers, 1929; Editions S.A.C.L. 1939) is a company record; the present-day Colysa SA (Val-de-Ruz) is not linked in the register. The US ending (death 1942, Institute 1945, Blum 1944) is an unresolved anomaly of absence of evidence; competing explanations listed under claim 4. Google's Lumen legal-removal notices on three Lakhovsky queries are recorded as a fact of the search; I make no inference from them.

Corrections to Step 1

1. claims.md claim 4 says "patent US 1,962,565, 1931". The US patent was granted 12 June 1934 (filed 13 Nov 1931; French priority 2 May 1931) [read: deep/US1962565; Investigator FR 732276 filed 2 May 1931, published 1932]. "1931" is the filing/priority year only.
2. claims.md claim 2 and facts.json describe Roffo's irradiated cholesterol as a "radio-active hydrocarbon (per Roffo)". Roffo's quoted words say "photo-active and luminescent agent", not radioactive; "radio-active" is Lakhovsky's paraphrase (deep/Radiations section 2a.6, 2b). Reword to "a photo-active hydrocarbon that Lakhovsky calls radio-active".
3. claims.md claim 3 and facts.json: add that the 1924 result is n = 3 treated plants vs 16 controls, with Magrou of the Pasteur Institute as fourth author (already noted by the Investigator); also that total exposure was 6 h, 33 h and 9 h with the same 16-day onset. "Caused ... to necrose" should read "in three treated plants".
4. The Investigator's note on Kotzareff gives only "40 W input power". Kotzareff's text also says the useful power must exceed "200 a 300 watts utiles" (up to a kilowatt) for human cancers (line ~4010 of the Kotzareff text). Add it: it is pertinent to the thermal question and cuts against reading 40 W as a reason to dismiss heating.
5. Deep read of The Secret of Life, section 9: "the Radiations and Waves text should be checked for the Corynactis numbers". Checked: Radiations and Waves p.49-62 (deep read) does not give them; the Nature 1940 review shows the figure is a cnidocyst thread. No numbers are printed in the accessible books.
6. Deep read of Radiations and Waves, section 7 and the Secret of Life section 5 do not note that the penetration limit changes from "7 meters" (1925/29 reply) to "11 meters" (1941). Add: unsourced figure revised upward between books.
7. claims.md claim 4 lists "Mme C., M.M., Mme S., J.S., goitre, prostate, duodenal ulcers, lupus" as documented cases. The duodenal ulcers and lupus are reports of de Cigna's hundreds of patients, with no individual case described (Waves That Heal section 7). Describe those as summary statements by a named clinician, not case histories.
8. claims.md claim 5: the age figure is 45 in one place and "about 40" and 50 in others in the same book; state the range.

No error found in: the 2 m = 150 MHz conversion; 400 m / 10 cm frequency conversions; the Rivera octave check; Mme S. day counts (checked against the deep reader's own calendar arithmetic).

Web checks done (6 calls)

• Roffo irradiated cholesterol replication: https://www.nature.com/articles/144246a0 ; https://www.ncbi.nlm.nih.gov/pmc/articles/PMC2008681/ (search summaries only; direct replication of the irradiated-cholesterol feeding not found; heated-fat variant not confirmed).
• Decay-constant independence and underground laboratories: https://arxiv.org/pdf/1311.7043 ; https://arxiv.org/pdf/0910.4338 (search summaries).
• TTFields EF-14: https://pmc.ncbi.nlm.nih.gov/articles/PMC6009218 (search summary).
• Crown gall regression in Pelargonium: no source found for spontaneous necrosis rates; Smith on galls dying from vascular isolation: https://archive.org/download/biostor-212203/biostor-212203.pdf (not opened). The check failed to settle the control question; stated as open.
• Local re-reads of Kotzareff (lines 3741, 4010) and Nature 146 (line ~15520). Not checked and still [memory]: Gurwitsch non-replication, fulguration history, cosmic-muon penetration in the 1930s, biophoton status; verdicts do not depend on them.

Summary table