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Conservative Motion Theory – Q IV: Informational Cosmology and the Observer Universe

Kawasaki, Hideyo

Published Nov 19, 2025• 0 citations
Publisher

Abstract

We complete the Quantum Series of the Conservative Motion Theory (CMT) by formulatingan informational cosmology in which the universe itself is a reflection–positive Fredholmnetwork of observation. Every local process of measurement, entanglement, or consciousnessconstitutes a node of global conservation. The universe emerges as the analytic fixed–point ofits own observation: a self–reflective informational continuum where total Fredholm energyand analytic rank remain invariant across all scales.

DOI
10.5281/zenodo.17648059

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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.
We complete the Information Series of the Conservative Motion Theory (CMT) byformulating a universal principle of information conservation that unifies classical information,statistical geometry, quantum information, and observer-dependent learning systems. Everylearning process—human cognition, AI training, or quantum measurement—is governed by asingle Fredholm information spectrum whose κ → 0+ limit yields a conserved quantity acrossclassical, geometric, and quantum domains. This provides a unified theory of information,cognition, and artificial intelligence within the CMT framework.