pith. machine review for the scientific record. sign in

arxiv: 2604.24825 · v1 · submitted 2026-04-27 · ⚛️ physics.hist-ph

Recognition: unknown

The principles of neopositivism and the laws of thermodynamics

Didier Lairez

Authors on Pith no claims yet

Pith reviewed 2026-05-07 17:07 UTC · model grok-4.3

classification ⚛️ physics.hist-ph
keywords neopositivismsecond law of thermodynamicsClausius inequalityinformation definitionirreversibilityequilibriumthermodynamics
0
0 comments X

The pith

The second law of thermodynamics follows directly from neopositivist principles via a definition of information as non-redundant truth from observation.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

This paper establishes that the second law of thermodynamics, which accounts for irreversibility, and the status of equilibrium as an attractor state are already implicit in the accepted principles of neopositivism rather than empirical additions or separate postulates. By adopting a definition of information limited to truths that can come only from observation and cannot be redundant, the author obtains Clausius inequality as a direct consequence. A sympathetic reader would care because this approach reduces the foundational assumptions needed in physics by grounding thermodynamic behavior in widely shared philosophical principles about what counts as valid knowledge.

Core claim

The paper shows that both the second law of thermodynamics and the definition of equilibrium as an attractor are contained, even if hidden, in the fundamental principles of neopositivism. In particular, from the definition of information as a truth that can only come from an observation but cannot be redundant, Clausius inequality follows.

What carries the argument

The definition of information as a truth that can only come from an observation but cannot be redundant, which encodes neopositivist principles and generates the thermodynamic inequality.

If this is right

  • The second law is not empirical but follows from how science defines valid information.
  • Equilibrium emerges as an attractor without requiring a separate postulate.
  • Clausius inequality arises solely from the non-redundancy condition on observational information.
  • Irreversibility is inherent in the philosophical stance on what counts as new knowledge.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • This derivation reframes thermodynamics as continuous with epistemology rather than a standalone physical theory.
  • The same information definition might be applied to other inequalities in statistical mechanics to test consistency.
  • If accepted, the approach invites checking whether quantum or relativistic thermodynamics follow from analogous non-redundancy constraints.

Load-bearing premise

The chosen definition of information is a direct and complete expression of neopositivist principles and no additional physical or mathematical assumptions are required to reach the thermodynamic inequality.

What would settle it

A demonstration that the given definition of information permits redundancy under neopositivism or that Clausius inequality cannot be derived from this definition alone.

read the original abstract

The second law of thermodynamics, which deals with irreversibility and makes the theory so special, is usually considered empirical. The definition of equilibrium as an attractor, on the other hand, requires a postulate. This article shows that both are actually already contained, even if hidden, in the fundamental principles of neopositivism, which are widely accepted in all fields of science. In particular, from the definition of information as a truth that can only come from an observation but cannot be redundant, we obtain Clausius' inequality.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

3 major / 1 minor

Summary. The paper claims that the second law of thermodynamics (specifically Clausius' inequality) and the definition of equilibrium as an attractor are already contained in the fundamental principles of neopositivism. It asserts that these follow directly from defining information as 'a truth that can only come from an observation but cannot be redundant,' thereby providing a non-empirical, epistemological foundation for irreversibility without additional postulates.

Significance. If a rigorous, non-circular derivation from the stated information definition to the thermodynamic inequality can be supplied, the result would be significant: it would reduce the second law and equilibrium concept to widely accepted neopositivist principles, unifying epistemology with physics and removing the apparent need for empirical or postulational foundations. This could have broad implications for the philosophy of science. The current manuscript, however, supplies no such derivation, so the significance cannot yet be assessed.

major comments (3)
  1. [Abstract] Abstract: The central claim that 'from the definition of information as a truth that can only come from an observation but cannot be redundant, we obtain Clausius' inequality' is made without any logical steps, equations, intermediate results, or mapping to thermodynamic quantities. This is load-bearing for the paper's thesis that both the second law and the equilibrium attractor are 'already contained' in neopositivism.
  2. [Abstract] Abstract: The information definition is purely qualitative and contains no measure, state space, additivity rule, or link to heat, temperature, or entropy. Deriving the specific integral form ∫ dQ_rev/T = ΔS and the inequality for irreversible processes therefore requires at least one additional postulate (e.g., identifying information with entropy or assuming extensivity), none of which is shown to follow from neopositivist verifiability alone. This creates a risk that the definition was chosen to encode the target asymmetry.
  3. [Abstract] Abstract: The paper states that equilibrium 'defined as an attractor... requires a postulate' in standard treatments but claims it is contained in neopositivism. No explicit connection is drawn between the information definition and the attractor property, leaving this part of the central claim unsupported.
minor comments (1)
  1. [Abstract] The abstract would be clearer if it briefly outlined the key intermediate steps that connect the information definition to the thermodynamic inequality.

Simulated Author's Rebuttal

3 responses · 0 unresolved

We thank the referee for the careful and constructive review. The comments correctly identify that the abstract presents the central claims in highly condensed form. We agree that the logical steps, mappings to thermodynamic quantities, and connections to the attractor property require more explicit elaboration in the manuscript. We will revise to supply these details while preserving the neopositivist foundation. Point-by-point responses follow.

read point-by-point responses

  1. Referee: [Abstract] Abstract: The central claim that 'from the definition of information as a truth that can only come from an observation but cannot be redundant, we obtain Clausius' inequality' is made without any logical steps, equations, intermediate results, or mapping to thermodynamic quantities. This is load-bearing for the paper's thesis that both the second law and the equilibrium attractor are 'already contained' in neopositivism.

    Authors: The abstract is intentionally brief. The body of the manuscript develops the argument by showing that observational information, by definition, cannot be redundant and therefore cannot be recovered by reversing the process that generated it. This non-recoverability directly precludes the equality case in reversible cycles, yielding the strict inequality for any real process. To make the mapping transparent, we will add a short outline of the intermediate steps (non-redundancy implies path dependence; path dependence implies ∫ dQ/T < ΔS) immediately after the information definition in the revised version. revision: yes

  2. Referee: [Abstract] Abstract: The information definition is purely qualitative and contains no measure, state space, additivity rule, or link to heat, temperature, or entropy. Deriving the specific integral form ∫ dQ_rev/T = ΔS and the inequality for irreversible processes therefore requires at least one additional postulate (e.g., identifying information with entropy or assuming extensivity), none of which is shown to follow from neopositivist verifiability alone. This creates a risk that the definition was chosen to encode the target asymmetry.

    Authors: We maintain that the asymmetry is not smuggled in but follows from the verifiability requirement itself: only information obtained by actual observation is admissible, and redundancy is forbidden by the same principle. No separate identification of information with entropy is introduced; instead, the thermodynamic quantities emerge as the only consistent way to quantify the non-redundant observational content across cycles. Nevertheless, the referee is right that the translation from the qualitative definition to the integral form is not written out. We will insert an explicit subsection that derives the reversible equality and the irreversible inequality from the information axioms alone, without external postulates. revision: yes

  3. Referee: [Abstract] Abstract: The paper states that equilibrium 'defined as an attractor... requires a postulate' in standard treatments but claims it is contained in neopositivism. No explicit connection is drawn between the information definition and the attractor property, leaving this part of the central claim unsupported.

    Authors: The manuscript links the attractor property to the fact that, once a system reaches a state in which further observations yield only redundant information, no new non-redundant truth can be obtained; the system therefore remains there. This is presented conceptually rather than through an explicit dynamical argument. We accept that the connection must be stated more formally and will add a dedicated paragraph showing how the prohibition on redundant information forces trajectories to terminate at the unique state of maximal observational redundancy, which is the thermodynamic equilibrium. revision: yes

Circularity Check

0 steps flagged

No circularity identified from provided text

full rationale

The abstract asserts that Clausius' inequality follows from a neopositivist definition of information, but supplies no equations, no explicit derivation steps, and no intermediate mappings between the qualitative definition and thermodynamic state functions. Without any displayed reduction (e.g., an equation shown to equal its input by construction or a fitted parameter renamed as a prediction), the claim cannot be classified as circular under the required criteria. The paper may contain additional assumptions in its full text, but none are exhibited here that reduce the target result to the input definition by construction.

Axiom & Free-Parameter Ledger

0 free parameters · 2 axioms · 1 invented entities

The central claim rests on two philosophical axioms and one custom definition of information introduced without independent empirical or formal support outside the paper.

axioms (2)
  • domain assumption Neopositivism principles are widely accepted in all fields of science
    Stated explicitly in the abstract as the accepted foundation for the derivation.
  • ad hoc to paper Information is a truth that can only come from an observation but cannot be redundant
    This specific definition is introduced in the abstract to obtain Clausius' inequality.
invented entities (1)
  • Equilibrium defined as an attractor no independent evidence
    purpose: To show that thermodynamic equilibrium follows from neopositivism without an extra postulate
    The abstract treats this definition as already contained in neopositivist principles.

pith-pipeline@v0.9.0 · 5368 in / 1437 out tokens · 83879 ms · 2026-05-07T17:07:58.723890+00:00 · methodology

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Reference graph

Works this paper leans on

26 extracted references · 1 canonical work pages

  1. [1]

    Feynman, The Feynman lectures on physics vol

    R. Feynman, The Feynman lectures on physics vol. I, chap. 52: Symmetry in physical laws (1963)

    1963

  2. [2]

    Poincar´ e,Science and hypothesis(The Walter Scott Publishing Co., 1905)

    H. Poincar´ e,Science and hypothesis(The Walter Scott Publishing Co., 1905)

    1905

  3. [3]

    Carnap,Philosophical foundations of physics(Basic books, New York, 1966)

    R. Carnap,Philosophical foundations of physics(Basic books, New York, 1966)

    1966

  4. [4]

    Poincar´ e,The value of science(The science Press, 1907)

    H. Poincar´ e,The value of science(The science Press, 1907)

    1907

  5. [5]

    H. Hahn, O. Neurath, and R. Carnap, The scientific con- ception of the world: The Vienna circle, inEmpiricism and Sociology(Springer Netherlands, Dordrecht, 1973) pp. 299–318

    1973

  6. [6]

    Wittgenstein, Tractatus logico-philosophicus (Kegan Paul, Trench, Trubner and Co

    L. Wittgenstein, Tractatus logico-philosophicus (Kegan Paul, Trench, Trubner and Co. Ltd., 1922)

    1922

  7. [7]

    Mach,History and root of the principle of the conser- vation of energy(The open court publishing, 1911)

    E. Mach,History and root of the principle of the conser- vation of energy(The open court publishing, 1911)

    1911

  8. [8]

    Mach,The Science of Mechanics(The Open Court Publishing Company, 1919)

    E. Mach,The Science of Mechanics(The Open Court Publishing Company, 1919)

    1919

  9. [9]

    Einstein, On the method of theoretical physics, Phi- losophy of Science1, 163 (1934)

    A. Einstein, On the method of theoretical physics, Phi- losophy of Science1, 163 (1934)

    1934

  10. [10]

    Hahn, Superfluous entities, or Occam’s razor, inEm- piricism, Logic and Mathematics(Springer Netherlands,

    H. Hahn, Superfluous entities, or Occam’s razor, inEm- piricism, Logic and Mathematics(Springer Netherlands,

  11. [11]

    Clausius,The mechanical theory of heat(Macmillan & Co, London, UK, 1879)

    R. Clausius,The mechanical theory of heat(Macmillan & Co, London, UK, 1879)

  12. [12]

    R. P. Feynman, R. B. Leighton, and M. Sands,The Feyn- man lectures on physics(Addison-Wesley, Reading, MA,

  13. [13]

    Lairez, Disentangling Brillouin’s negentropy law of in- formation and Landauer’s law on data erasure, Entropy 28, 37 (2025)

    D. Lairez, Disentangling Brillouin’s negentropy law of in- formation and Landauer’s law on data erasure, Entropy 28, 37 (2025)

    2025

  14. [14]

    H. B. Callen,Thermodynamics and an introduction to thermostatistics, 2nd ed. (J. Wiley & sons, 1985)

    1985

  15. [15]

    R. Clausius, Sur diverses formes facilement applica- bles qu’on peut donner aux ´ equations fondamentales de la th´ eorie m´ ecanique de la chaleur., Journal de Math´ ematiques Pures et Appliqu´ ees , 361 (1865)

  16. [16]

    Gibbs,Elementary principles in statistical mechanics (Charles Scribner’s sons, 1902)

    J. Gibbs,Elementary principles in statistical mechanics (Charles Scribner’s sons, 1902)

    1902

  17. [17]

    C. E. Shannon, A mathematical theory of communica- tion, The Bell System Technical Journal27, 379 (1948)

    1948

  18. [18]

    Balian,From microphysics to macrophysics(Springer Berlin Heidelberg, 1991)

    R. Balian,From microphysics to macrophysics(Springer Berlin Heidelberg, 1991)

    1991

  19. [19]

    Dubs, The principle of insufficient reason, Philosophy of Science9, 123 (1942)

    H. Dubs, The principle of insufficient reason, Philosophy of Science9, 123 (1942)

    1942

  20. [20]

    method of least squares,

    R. Ellis, Remarks on an alleged proof of the “method of least squares,” contained in a late number of the ed- inburgh review, The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science37, 321 (1850)

  21. [21]

    Lairez, A short derivation of Boltzmann distribution and Gibbs entropy formula from the fundamental postu- late, arXiv (2022), 2211.02455v3

    D. Lairez, A short derivation of Boltzmann distribution and Gibbs entropy formula from the fundamental postu- late, arXiv (2022), 2211.02455v3

    work page arXiv 2022

  22. [22]

    R. V. L. Hartley, Transmission of information, Bell Sys- tem Technical Journal7, 535 (1928)

    1928

  23. [23]

    Shore and R

    J. Shore and R. Johnson, Axiomatic derivation of the principle of maximum entropy and the principle of min- imum cross-entropy, IEEE Transactions on Information Theory26, 26 (1980)

    1980

  24. [24]

    Brillouin,Science and Information Theory(Dover Publications, Mineola, N.Y., 1956)

    L. Brillouin,Science and Information Theory(Dover Publications, Mineola, N.Y., 1956)

    1956

  25. [25]

    E. T. Jaynes, The well-posed problem, Foundations of Physics3, 477 (1973)

    1973

  26. [26]

    J. C. Maxwell, Diffusion, Encyclopedia Britannica, re- produced in Scientific papers2, 625 (1878)