Complete monotonicity of Tsallis entropy under heat flow: a sharp order classification
Year: 2026
Type: preprint
Abstract: AI-assisted, unrefereed candidate. The quadratic order is the unique positive Tsallis order with universal alternating heat-flow entropy derivatives. For each fixed nonexceptional order, a density-varying strictly log-concave family supplies high-derivative failures. Shannon counterexamples and quadratic positivity are inherited and attributed. A separate exact-arithmetic and analytic-transfer witness has order 3/2 and derivative 13; no log-concavity or least-order assertion is made for that witness.
Author: Anonymous
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7225389123