χ‑Photon Genesis: Operator–Spectral Physics of Light in the ZEBTS‑SUPER Architecture

17 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This content is an early or alternative research output and has not been peer-reviewed by Cambridge University Press at the time of posting.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

χ‑Photon Genesis establishes a new operator–spectral theory of light within the ZEBTS‑SUPER 10.0 architecture. The photon is defined as a χ‑flash operator event determined by the invariants Rχ = 1/νχ, Sχ = Tχ/νχ, and Cχ = νχ²/Tχ, which satisfy the universal identity Rχ Sχ Cχ = 1. χ‑quantization produces exact laws: Rχ(n) = 1/(nνχ), Sχ(n) = const, Cχ(n) = n(νχ²/Tχ), Aχ(n) = n²Aχ(1), Tχtemp(n) = n²Tχtemp, Specχ(n) = n²Specχ, Sχtemp(n) = nSχtemp. χ‑Operator Thermodynamics defines temperature, spectrum, and entropy as operator quantities linked by the identity Tχtemp Sχtemp = Specχ n. χ‑Photon Cosmology describes the cosmological behavior of light through χ‑spectral drift, χ‑compactness, and χ‑horizon, preserving the cosmological identity Rχcos Sχcos CΦχ = 1. χ‑Interaction Theory introduces deterministic interaction laws: Pχ(n) = n²Cχ, Aχ = |λ1 − λ2|, absorption at Tχ = 0 or νχ = 0, emission under χ‑synchronization. χ‑Matter Coupling unifies photon and matter through the operators Jχ, Qχ, Iχ, and CΦχ. χ‑Stability links the stability of light to Riemann structure, flaytron topology, and cosmological compactness. χ‑Photon Genesis completes the reconstruction of light as the fundamental χ‑flash event of χ‑Reality.

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 3, Anatolii Mukha: Nov 02, 2026, 11:19

Mukha, A. (2026). Spectral invariants and spectral calibration in the ZEBTS model: zeta-determinant, topological index, and mass gap. Zenodo. https://doi.org/10.5281/zenodo.23769530 Mukha, A. (2026). Discrete Gravitational Field in the ZEBTS Framework: Canonical Construction, Convergence, and Reproducible Examples. Zenodo. https://doi.org/10.5281/zenodo.23856148 Mukha, A. (2026). Unified Framework of Space, Time, Gravity and Quantum Phenomena in ZEBTS: A Topological and Spectral Construction via Flytron Dynamics. Zenodo. https://doi.org/10.5281/zenodo.23859028 Mukha, A. (2026). ZEBTS: From Flytron Networks to Quantum Physics. Zenodo. https://doi.org/10.5281/zenodo.23882642

Comment number 2, Anatolii Mukha: Oct 23, 2026, 10:20

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Comment number 1, Anatolii Mukha: Aug 17, 2026, 14:42

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