2007.12854
GENERAL THEORY OF NON-REVERSIBLE LOCAL DYNAMICS
Ricardo Gallego Torromé
incompletemedium confidence
- Category
- Not specified
- Journal tier
- Specialist/Solid
- Processed
- Sep 28, 2025, 12:55 AM
- arXiv Links
- Abstract ↗PDF ↗
Audit review
Both the paper and the candidate solution assert local coincidence of arrows by positing the key correspondence d/dt|_{t=0} Λ(t,u) = Ξ_Ω(E(u)) and then reading off signs; neither derives this identity in general nor fully states the regularity and ordering assumptions required. The model adds mild differentiability assumptions, but it still rests on the same unproven correspondence.
Referee report (LaTeX)
\textbf{Recommendation:} major revisions
\textbf{Journal Tier:} specialist/solid
\textbf{Justification:}
The conceptual framework is interesting and the proposition is plausible, but the key step—identifying entropy production with the non-reversibility functional—is asserted rather than established. Important technical hypotheses (ordered field, differentiability, continuity) are not explicitly stated at theorem level. Addressing these would meaningfully improve correctness and clarity.