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This content is an early or alternative research output and has not been peer-reviewed by Cambridge University Press at the time of posting.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

Comments

Comments are not moderated before they are posted, but they can be removed by the site moderators if they are found to be in contravention of our Commenting and Discussion Policy [opens in a new tab] - please read this policy before you post. Comments should be used for scholarly discussion of the content in question. You can find more information about how to use the commenting feature here [opens in a new tab] .
This site is protected by reCAPTCHA and the Google Privacy Policy [opens in a new tab] and Terms of Service [opens in a new tab] apply.
Comment number 1, Anatolii Mukha: Aug 17, 2026, 14:42

A. Core χ‑Spectral / χ‑Operator Foundations Mukha, A. (2026). χ‑Spectral Reality: Foundations of the Operator‑Geometric Universe. Zenodo. https://doi.org/10.5281/zenodo.21937654 (doi.org in Bing) Mukha, A. (2026). χ‑Unification: The Unified Spectral–Topological Foundation of Physics. Zenodo. https://doi.org/10.5281/zenodo.21778657 Mukha, A. (2026). χ‑Operator Geometry: Новый Фундамент Единой Физики. Zenodo. https://doi.org/10.5281/zenodo.21805326 Mukha, A. (2026). χ‑Spectral Geometry of Reality: Operator‑Geometric Origin of Spacetime, Curvature, and Gravity. Zenodo. https://doi.org/10.5281/zenodo.21744122 (doi.org in Bing) Mukha, A. (2026). Operator–Spectral Hyperbolic Reconstruction: Spectral Curvature, su(1,1) Representations, and Poincaré Geometry. Zenodo. https://doi.org/10.5281/zenodo.21820949 (doi.org in Bing) B. ZEBTS‑SUPER: The Theory of Everything (All Versions) Mukha, A. (2026). ZEBTS — Zero‑Entropy Topological Background: χ‑Reality. The Theory of Everything — SUPER 10 plus Version. Zenodo. https://doi.org/10.5281/zenodo.21921468 Mukha, A. (2026). ZEBTS — Zero‑Entropy Topological Background: χ‑Reality. The Theory of Everything — SUPER 10 Version. Zenodo. https://doi.org/10.5281/zenodo.21893842 Mukha, A. (2026). ZEBTS — Zero‑Entropy Topological Background: χ‑Reality. The Theory of Everything — SUPER 9.0 Version. Zenodo. https://doi.org/10.5281/zenodo.21771468 Mukha, A. (2026). ZEBTS — Zero‑Entropy Topological Background: χ‑Reality. The Theory of Everything — SUPER 8.0 Version. Zenodo. https://doi.org/10.5281/zenodo.21680872 Mukha, A. (2026). ZEBTS — Zero‑Entropy Topological Background: χ‑Reality. The Theory of Everything — SUPER 7.0 Version. Zenodo. https://doi.org/10.5281/zenodo.21629584 (doi.org in Bing) Mukha, A. (2026). ZEBTS — Zero‑Entropy Topological Background: χ‑Reality. The Theory of Everything — SUPER 5.0 Version. Zenodo. https://doi.org/10.5281/zenodo.21602520 Mukha, A. (2026). ZEBTS — Zero‑Entropy Topological Background: χ‑Reality. The Theory of Everything — SUPER 4.0 Version. Zenodo. https://doi.org/10.5281/zenodo.21512677 Mukha, A. (2026). ZEBTS — Zero‑Entropy Topological Background: χ‑Reality. The Theory of Everything — SUPER 3.0 Version. Zenodo. https://doi.org/10.5281/zenodo.21427452 Mukha, A. (2026). ZEBTS — Zero‑Entropy Topological Background: χ‑Reality. The Theory of Everything — SUPER 2.0 Version. Zenodo. https://doi.org/10.5281/zenodo.21322844 (doi.org in Bing) Mukha, A. (2026). ZEBTS — Zero‑Entropy Topological Background: χ‑Reality. The Theory of Everything — Final Version. Zenodo. https://doi.org/10.5281/zenodo.21098523 (doi.org in Bing)