Anomalies in Thermonuclear Fusion as χ‑Spectral Transitions: A ZEBTS‑SUPER Operator‑Geometric Analysis

25 August 2026, Version 1
This content is an early or alternative research output and has not been peer-reviewed by Cambridge University Press at the time of posting.

Abstract

Thermonuclear fusion experiments worldwide exhibit anomalous plasma behavior that cannot be explained by classical magnetohydrodynamics (MHD) or standard confinement theory. Temperature collapses, magnetic detachment, non‑classical turbulence, and spontaneous transport spikes appear systematically at extreme temperatures and magnetic fields. Within the ZEBTS‑SUPER 10.0 framework, plasma is not a gas but a χ‑spectral operator structure governed by the operator algebra A^χ and the hyperbolic χ‑spectrum Spec(χ^). Fusion anomalies correspond to χ‑spectral transitions triggered when plasma enters high‑coherence χ‑regimes. Magnetic confinement fails not due to engineering limitations, but because classical fields cannot constrain χ‑spectral modes. This article develops the χ‑operator geometry of plasma, derives the χ‑spectral evolution equations governing confinement breakdown, and demonstrates that all observed anomalies are natural consequences of χ‑Reality as formalized in Mukha (2026). The work provides a unified operator‑spectral model for fusion physics, establishes the mathematical conditions for confinement collapse, and outlines implications for next‑generation reactor design. The results position χ‑fusion physics as a foundational paradigm shift for 21st‑century energy science.

Keywords

χ‑operator
χ‑algebra Aχ
spectral dynamics
arithmetic spectrum
modular flow
Tomita–Takesaki theory
deformed Dirac–Kähler operator
Dixmier trace
Connes metric
noncommutative boundary ∂Sχ
Lorentz transformations
inner automorphisms
Wigner rotation
operator‑theoretic transitivity
spectral geometry
noncommutative space‑time.

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Comment number 1, Anatolii Mukha: Aug 25, 2026, 15:11

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