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

29 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This content is an early or alternative research output and has not been peer-reviewed by Cambridge University Press at the time of posting.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 across all major research centers consistently reveal anomalous plasma behavior that cannot be explained by classical magnetohydrodynamics, transport theory, or standard confinement models. These anomalies include spontaneous temperature collapses, magnetic detachment, non‑classical turbulence, abrupt transport spikes, and spectral oscillations that appear only at extreme temperatures and magnetic fields. Within the ZEBTS‑SUPER framework, plasma is not a gas but a χ‑spectral operator structure. Fusion anomalies correspond to χ‑spectral transitions triggered when plasma enters high‑coherence χ‑regimes where classical physics becomes incomplete. Magnetic confinement fails because classical fields constrain geometry, while plasma is governed by χ‑spectral modes. This article develops the full χ‑operator geometry of plasma, derives the χ‑spectral equations governing confinement breakdown, and demonstrates that all observed anomalies are natural consequences of χ‑Reality. The work provides a unified operator‑spectral model for fusion physics, establishes the χ‑mathematical formalism for plasma, and outlines the implications for future reactor design, diagnostics, and global fusion strategy.

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 29, 2026, 15:05

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