Quantum optimal transport on Bost-Connes systems: the twist is harmful, the generator has a sign error, and the transition is invisible to local inequalities
Year: 2026
Type: preprint
Abstract: Quantum optimal transport is set up on localized Bost-Connes systems. The GKLS generator must be taken in symmetrized form, the proposed twisted transport metric is shown to be harmful (cross-prime cancellation makes the twisted couplings degenerate), and tensorisation reduces modified log-Sobolev constants to an infimum over primes controlled by the single-prime gap, with the weight dichotomy showing that the phase transition is invisible to every local functional inequality.
Author: Chen, Ruqing
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7208817607
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