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Mathematical Foundations of Modular Regime Classification

Oleg Nesen

Published Apr 8, 2026• 0 citations
Publisher

Abstract

We develop a rigorous mathematical framework for modular regime classification in quantum state spaces. By introducing a spectral measure formulation, functional stability structure, and closure theorems with explicit bounds, we establish a complete classification of dynamical regimes. The theory is shown to be well-posed, stable, and extensible to large-N and continuum limits, with direct connections to renormalization group flows and quantum statistical systems.

DOI
10.24108/preprints-3114868

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