Conservative Motion Theory – P I: Quantum–Gauge Fredholm Equivalence and the Law of Physical Conservation

Kawasaki, Hideyo

Published Nov 19, 2025• 0 citations

Abstract

We establish the quantum–gauge correspondence within the Conservative Motion Theory (CMT) framework. Quantum fields and gauge fields are shown to share an identical Fredholm reflection structure, leading to the Law of Physical Conservation: every interaction is a reflection-positive Fredholm motion preserving total physical energy, charge, and information. This result unifies quantum and classical dynamics as two limits of the same conservative operator flow, realizing a mathematically exact equivalence between quantum superposition and gauge symmetry.

DOI: 10.5281/zenodo.17644839

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