Alphabeta MathHow statement and proof provenance work
The first chip identifies the source of the statement or construction; the second identifies the source of its local proof or verification.
- Literature-sourced: the exact statement appears in a cited source; only wording and notation differ.
- AI-adapted: a semantically identical restatement of literature-sourced material, modulo indexing, notation, and boundary cases adopted by the library.
- AI-generated: a genuinely novel statement formulated by AI, with no source for the claim itself.
These labels describe origin, not correctness: citations and verification chips remain separate evidence.
Local entropy-current admissibility in a separately defined model
Given defined smooth current and material model,∇S≥0; not a geometry theorem, globalGSL or statistical/horizon identification.
Postulate
On an open region of the smooth spacetime of Thermodynamics-GR fields, currents, reference normalization and units, take a separately specified material/current model in its declared smooth regime. Its entropy current is a supplied vector field of the type and units in Rest fluid state, frame and geometric current definitions. Adopt the local admissibility condition
throughout that region. This inequality is a physical restriction on the chosen model and current; it is not a construction of an undefined constitutive current. Each application must state its current, regime, boundary/exchange data, and any source or sink terms it includes.
The inequality is not deduced from Lorentzian geometry, the local state function, or finite data. It does not assert statistical thermalization, a universal microscopic -theorem, entropy-area identification, or a generalized second law. Romatschke's cited calculation is restricted to a specified conformal-fluid model and itself records the absence of experimental verification known to that author; that source limitation does not turn this postulate into an observed law. No experimental observation or uncertainty is supplied by this item.