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Conservative Motion Theory – Q II: Entanglement and Fredholm Correlation Continuity

Kawasaki, Hideyo

Published Nov 19, 2025• 0 citations
Publisher

Abstract

Within the quantum–informational extension of the Conservative Motion Theory (CMT),we describe entanglement as the analytic continuity of Fredholm correlations between spatiallyseparated reflection–positive kernels. Entangled states are shown to correspond to nonlocal yetconservative analytic couplings preserving the total Fredholm determinant. This continuityexplains the apparent “instantaneous” correlation as the persistence of global reflectionpositivity across disjoint Hilbert sectors.

DOI
10.5281/zenodo.17648034

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This paper develops the quantum extension of Conservative Motion Theory (CMT) by introducing the notion of quantum reflection positivity for computational Hilbert kernels. We identify the quantum computational spectrum as a Fredholm-analytic invariant that governs reversibility, decoherence, and complexity growth in quantum processes. The spectral deformations of the determinant encode the transition from classical deterministic computation to quantum entanglement-driven evolution. This work forms the third component of the CMT V-series, establishing the analytic foundations for the quantum–computational sector of conservation.
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