A Universal State-Space Paradigm for History-Dependent Relaxation

Abstract

Building on our state-space paradigm for history-dependent relaxation, we establish its universality by extending the [configuration, efficiency]^T structure into quantum and fundamental physics. Analysis of global quench experiments and dissipative qubit dynamics reveals that entanglement propagation is governed by a quantum efficiency ueffQ, a state variable set by the initial state's history. Supported by thermomajorization-based mathematical analysis and Liouvillian dynamics of open quantum systems, this confirms ueff as a generalized relaxation efficiency beyond thermodynamics. We apply the paradigm to cosmic inflation, positing that primordial quantum fluctuations are shaped by a cosmological efficiency ueffCosmo. Ultimately, embedding this framework into Yang-Mills theory reveals a profound mathematical isomorphism: the role of ueff is precisely mirrored by the Higgs field in symmetry breaking, unveiling it as the pervasive "ghost imprint" of history that guides relaxation from quantum matter to the primordial universe.

Keywords