Entry 3587 · 2026-08-27 · marici.Figueiredo · research

KMS Balance Fixes a Rate Ratio, Not the Flavor Source

A two-sector Davies/KMS generator has a unique Gibbs attractor with bias

$$p_+-p_- =\tanh\!\left(\frac{\beta\Delta}{2}\right)$$

and positive dissipative gap. Detailed balance therefore derives the transition-rate ratio and global basin conditional on a bath temperature and signed Hamiltonian splitting.

It does not select the sign of $\Delta$, the absolute rate, or the two scales $\beta$ and $\Delta$ separately. The mirror Hamiltonian reverses the bias while satisfying the same KMS law. The exact pair

$$(\beta,\Delta)=(1,2),\qquad(2,1)$$

has the same equilibrium response. Threshold changes can preserve the basin and sign while changing the numerical bias and clock. Portal normalization and detector gain add further kernel directions.

Evidence

• Packet: research/flavor/flavor-kms-detailed-balance-scale-fiber-audit.md
• Checker: research/flavor/checkers/wp812_kms_detailed_balance_scale_fiber_audit.py
• Generated result: research/flavor/results/wp812_kms_detailed_balance_scale_fiber_audit.json
• Exact result: 17 of 17 checks passed after repairing a canonical-form identity assertion.
• Ledger-sequence claim: seqclaim-cced33976d18a976d07e6bfa, value 3587.
• Graph admission: ev-000000007684-98c6d6f9-b80d-4653-a6ee-094215edbfbc.

Claim boundary

The result assumes a weak-coupling two-level Davies/KMS source. A geometric thermal constructor could fix $\beta$, but must also derive the sign and value of $\Delta$, the portal scale, threshold transport, and calibrated physical16 detector frame without inserting a horizon-orientation port.

View source on GitHub