REVIEW 1 major objections 5 minor 91 references
Tachyons Before Tachyons: Lev Strum (1890-1936) and Superluminal Velocities
T0 review · 1 major / 5 minor · reviewed 2026-08-16 · deepseek-v4-flash
Pith's one-line read In a 1923 paper, Lev Strum argued that faster-than-light signals do not break special relativity because the direction of time is itself relative.
desk verdict A careful, well-sourced rescue of a forgotten minor figure; the anticipation claim is modest and already hedged, so the main interpretive worry is smaller than it looks. read the letter →
The pith
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
The reading
What carries the argument
The load-bearing device is Strum's space-time diagram of two inertial frames: a superluminal event lies outside the light cone, and in a moving frame $S'$ its time coordinate changes sign, reversing the apparent direction of time. This sign flip converts the causality objection from a contradiction into a frame-dependent description: what looks like an effect before its cause in one frame can be re-described as an ordinary cause-before-effect process in another. The same geometric fact, the non-invariance of temporal order outside the light cone, is what the paper uses to connect Strum to the later reinterpretation principle.
What would settle it
Read Strum's 1923 article in full and re-derive his two-frame argument: if it stops at showing that different observers assign opposite time coordinates to a superluminal event, without the further step of re-describing a backward-in-time signal as a forward-in-time one, then the claim that he anticipated the reinterpretation principle is refuted.
Extended reading notes
Core claim
Strum's 1923 analysis considered two inertial systems $S$ and $S'$, with $S'$ moving at a subluminal velocity relative to $S$, and a superluminal signal leaving the common origin in both directions. He found that the signal's time coordinate is negative in $S'$ while positive in $S$, and he drew two conclusions: the hypothesis of superluminal velocities does not contradict the special theory of relativity, and the direction of time is itself relative, since what is before a later event in one system may be after that event in another. In a 1926 follow-up he added that effect always follows cause within a given frame, but which event counts as cause and which as effect can differ between frames; a superluminal signal sent 'back in time' can therefore be reinterpreted as a signal moving forward in time. The paper identifies this as a version of the reinterpretation principle of tachyon physics and is explicit that Strum did not claim tachyons exist: he never considered massive superluminal particles, imaginary mass, detection, or crossing the light barrier, and his faster-than-light signals belonged to a world causally disconnected from the ordinary one.
Load-bearing premise
The case depends on reading Strum's 1923 argument that the direction of time is relative as the same intellectual move as the later reinterpretation principle; if he meant only that different observers order events differently, and not that a backward-in-time signal can be re-described as a forward-in-time signal, the historical claim loses its basis.
Editorial extensions
If this is right
- If the paper is right, the reinterpretation principle, usually dated to tachyon physics of the 1960s, has a documented 1923 predecessor, so the conceptual history of faster-than-light motion must be rewritten.
- Strum's published conclusion that superluminal signals are compatible with special relativity shows that at least some physicists in the 1920s did not regard Einstein's and Tolman's causality argument as decisive.
- Strum's explicit refusal to assert the existence of such signals, and his silence on detection and on imaginary-mass particles, means the tachyon searches of the 1960s-1980s cannot claim him as a proponent of physical tachyons.
- Because Strum's relativity papers appeared in mainstream German journals, their neglect cannot be explained by Soviet censorship alone; the paper's account points to simple lack of scientific interest.
Reading between the lines
- Because Strum and Robert Bass reached similar conclusions independently in the 1920s, a systematic census of other early relativity papers might find further independent versions of the time-reversal move, which would turn a single anticipation into a broader forgotten strand of interpretation.
- The same logical objections that later physicists and philosophers raised against the tachyon reinterpretation principle apply retroactively to Strum's 1923 formulation; testing his argument against a closed-causal-loop scenario would show whether his anticipation was robust or only apparent.
- A full-text search of Soviet and Ukrainian physics journals from 1921 to 1940 could test the paper's claim of total oblivion, since standard citation databases omit local-language publications and the paper notes that its usual sources show little or no trace of Strum's work.
Signed reviews
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. This manuscript reconstructs the pre-history of tachyon physics, with special attention to the Kyiv physicist Lev Strum. It reviews pre-relativistic and Einstein-era discussions of superluminal velocities, Tolman's causality paradox, the 1960s-1980s tachyon episode, and then presents a biographical and conceptual account of Strum's 1923 Zeitschrift für Physik paper and related articles from 1926 and 1930, in which Strum argued that superluminal signals do not contradict special relativity and that time order and cause-effect relations are frame-dependent. The paper also covers Strum's execution during Stalin's terror, his posthumous rehabilitation, and his alleged literary afterlife as Viktor Strum in Grossman's Life and Fate. The author explicitly denies that Strum proposed physical tachyons or considered massive superluminal particles.
Significance. If accurate, the paper gives a valuable corrective to the standard claim that superluminal-velocity questions were largely abandoned between about 1905 and 1960. It brings to light an obscure but real figure and separates the documented physics from doubtful biographical anecdotes; the footnotes carefully flag unreliable sources, including the Einstein-meeting story and the Grossman identification. The paper is strongest where it stays close to published sources and is appropriately cautious about retrospective labels. The main risk is that the 'reinterpretation principle' attribution in Section 7 goes beyond what the quoted Strum texts demonstrate, but this is a fixable issue rather than a fatal flaw.
major comments (1)
- [Section 7 (Strum 1923/1926, refs. [79] and [81])] The paper's attribution of a 'version of the reinterpretation principle' to Strum is not fully supported by the quoted material. In Section 2 the reinterpretation principle is defined as the reinterpretation of negative-energy emission as positive-energy absorption, but all quoted Strum passages concern the relativity of time order and of cause-effect labels; no passage in which Strum discusses energy is reproduced. Because the title and the announcement of the paper's novelty depend on this attribution, please either reproduce the relevant original text (with translation) showing that Strum's argument goes beyond coordinate time reversal, or explicitly characterize it as a kinematic precursor and adjust the wording in Section 7 and the abstract accordingly.
minor comments (5)
- [Section 5, paragraph on Strum's publications] The word 'Uspkekhi' in the sentence about Strum's contribution to Uspekhi Fizicheskikh Nauk is a typo and should read 'Uspekhi.'
- [Section 8, opening paragraph] The statement that Grossman 'published in 1960 the novel Life and Fate' is inaccurate; the novel was completed in 1960 but first published much later, in the West in 1980 and in the Soviet Union in 1988, so the text should say 'completed in 1960' or equivalent.
- [Reference [69]] The title of Strum's 1928 paper contains the misspelling 'charachterische' and should read 'charakteristische.'
- [Section 8, paragraph on Brecht] The name 'Bertold Brecht' should be 'Bertolt Brecht.'
- [Section 7, paragraph on citation records] The statement that Google Scholar reports no citations to Strum's 1923 paper in 1923-1940 could usefully be qualified, since Google Scholar's coverage of that period is incomplete and the claim may be read as stronger than the data support.
Circularity Check
No circularity: the historical claim is reconstructed from external primary and secondary sources and does not reduce to its own inputs.
full rationale
This is a history-of-physics paper, not a derivation. The central claim is that Strum's 1923 Zeitschrift für Physik article argued superluminal signals do not contradict special relativity and that the causality objection can be answered by the relativity of time order. That claim is supported by direct quotations from Strum's papers [79], [81], [82] and by the independent secondary literature [3], [80]. The asserted connection to the later tachyon reinterpretation principle is explicitly hedged as 'This has been seen as a version of the reinterpretation principle' and is attributed to Malykin et al., not to the author's own prior work. The paper also resists the stronger anticipation thesis, stating that 'the claim that Strum "suggested the existence of tachyons" lacks justification.' The author's self-citations (Kragh 2011, 2019, 2022, and others) appear only as contextual references or as earlier mentions of Strum; none of them supplies a premise that forces the paper's conclusion. No fitted parameter is relabeled as a prediction, and no uniqueness theorem or ansatz is imported from the author's previous publications. The main interpretive risk, namely that Strum's coordinate-time reversal may not be identical to the modern negative-energy reinterpretation principle, is a question of historical evidence, not circularity, and the paper's own cautious wording anticipates it. The verdict is therefore no significant circularity.
Assumptions & free parameters
assumptions (3)
- standard math Special relativity kinematics, including the Lorentz transformation and light-cone structure, correctly describes Strum's 1923 analysis.
- domain assumption The secondary sources Malykin et al. 2012 and Koltachikhina 2008 accurately represent Strum's biography and papers.
- domain assumption Grossman's novel can be used as evidence for Strum's afterlife, even though the identification of Viktor Strum with Lev Strum is contested.
Cite this review
Pith. "Pith review of Tachyons Before Tachyons: Lev Strum (1890-1936) and Superluminal Velocities." pith.science (2026). https://pith.science/paper/DM6KDHIQ
@misc{pith2026250418347,
author = {Pith},
title = {Pith review of: Tachyons Before Tachyons: Lev Strum (1890-1936) and Superluminal Velocities},
year = {2026},
howpublished = {\url{https://pith.science/paper/DM6KDHIQ}},
note = {Machine review of arXiv:2504.18347}
}
read the original abstract
No particle or signal carrying information can travel at a speed exceeding that of light in vacuum. Although this has for a long time been accepted as a law of nature, prior to Einstein's 1905 theory of special relativity the possibility of superluminal motion of electrons was widely discussed by Arnold Sommerfeld and other physicists. Besides, it is not obvious that special relativity rules out such motion under all circumstances. From approximately 1965 to 1985 the hypothesis of tachyons moving faster than light was seriously entertained by a minority of physicists. This paper reviews the early history concerning superluminal signals and pays particular attention to the ideas proposed in the 1920s by the little known Ukrainian physicist Lev Strum (Shtrum). As he pointed out in a paper of 1923, within the framework of relativity it is possible for a signal to move superluminally without violating the law of causality. Part of this article is devoted to the personal and scientific biography of the undeservedly neglected Strum, whose career was heavily and eventually fatally influenced by the political situation in Stalin's Russia. Remarkably, to the limited extent that Strum is known today, it is as a literary figure in a novel and not as a real person.
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