Spectral Closure Classification of Universality in Relational Transport Field Theories

Philip Lilien

Published May 12, 2026• 0 citations

Abstract

Two Papers on Spectral Closure address the Classification of Closure Spectral Universality Classes in Relational Transport Field Theories We investigate classification structure of closure spectral stability classes in closure-consistent relational transport field theories. Building on closure spectral stability, renormalization persistence, functional renormalization stability, and topological protection structure, we propose a framework for classifying closure spectral operator families into universality classescharacterized by spectral gap structure, topological index invariants, and configuration space topology. Using toy spectral topology models and spectral flow classification constructions, we demonstrate how closure spectral universality classes may be defined independently of detailed microscopic field dynamics. While not providing a complete classification theorem, the first paper establishes a mathematical framework for closure spectral universality classification and provides a basis for investigating universality structure of closure spectral stability across interacting field theory models.

DOI: 10.5281/zenodo.20129285

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