IndisputableMonolith.Cosmology.ThermodynamicSelectionCert
The Cosmology.ThermodynamicSelectionCert module certifies thermodynamic selection by establishing non-negativity of J-cost as an entropy floor. Researchers modeling selection on the phi-ladder in Recognition Science cosmology would cite it. The module aggregates imported results from Cost and Constants to structure the floor argument.
claimThe central claim is that the J-cost function satisfies $J(x) \geq 0$ for all $x > 0$, providing the entropy floor for thermodynamic selection certification.
background
The module sits in the cosmology domain. It imports the RS time quantum $ au_0 = 1$ tick from Constants. The Cost module supplies the J-cost definition $J(x) = (x + x^{-1})/2 - 1$ that obeys the Recognition Composition Law.
Sibling declarations establish the entropy floor together with ground-state and unboundedness properties of the same function.
proof idea
This is a definition module, no proofs.
why it matters in Recognition Science
The module supplies the entropy floor that supports thermodynamic selection certification in cosmology. It fills the J-cost non-negativity step tied to T5 J-uniqueness in the forcing chain. No downstream theorems are listed.
scope and limits
- Does not derive explicit mass values on the phi-ladder.
- Does not address the eight-tick octave or spatial dimension count.
- Does not incorporate the Berry creation threshold or dream fraction.
- Does not model specific expansion histories or alpha-band numerics.