Conservative Motion Theory – V III: Quantum Reflection Positivity and the Computational Spectrum

Kawasaki, Hideyo

Published Nov 19, 2025• 0 citations

Abstract

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.

DOI: 10.5281/zenodo.17644785

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