Entropy, Expansion, and χ‑Spectral Structuring: Operator‑Geometric Resolution of the Cosmological Order‑from‑Chaos Paradox
Year: 2026
Type: preprint
Abstract: Recent theoretical developments propose a new interpretation of gravitational dynamics that resolves a long‑standing cosmological paradox: the emergence of increasing structural complexity in an expanding Universe despite the monotonic growth of entropy required by the second law of thermodynamics. Building on the χ‑spectral operator geometry of ZEBTS‑SUPER, we demonstrate that cosmic expansion continuously generates new spectral volume V_chi(t), enabling localized entropy reduction and structure formation without violating global entropy growth (d S_chi / dt >= 0). Gravitational clustering is shown to be an infrared manifestation of χ‑spectral modular dynamics, where local ordering corresponds to the redistribution of entropy into radiation, curvature defects, and χ‑vacuum excitations. This operator‑geometric framework extends general relativity and provides a natural pathway toward a unified quantum theory of gravity.
Author: Mukha, Anatolii
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7170137504