χ‑Unification: The Unified Spectral–Topological Foundation of Physics
- 1Independent Researcher , retired person Kharkiv , Ukraine
Abstract
ZEBTS‑SUPER 9.0 introduces a unified operator‑spectral framework in which spacetime, matter, fields, forces, information, entropy, causality, computation, biology, and cosmology emerge as macroscopic projections of a single non‑Hermitian χ‑operator Dχ with eigenvalues λ_n = 1/2 + i t_n. The χ‑Absolute A = Ker(Dχ) defines the zero‑entropy ground state, while the χ‑Boundary B = S^3 / I* arises from spectral activation t_n ≠ 0 and functions as the universal topological engine generating χ‑modular flows, χ‑prime‑mode topology, χ‑holography, and χ‑spectral protection. The pseudo‑Riemannian metric follows from the Dixmier trace invariant Trω([Dχ, Xμ] χJ [Dχ, Xν] χJ) = diag(1, −1, −1, −1), and the invariant speed of light is shown to be a topological constant of the noncommutative χ‑boundary ∂Sχ. A universal functional Uχ(Dχ, Sχ, Rχ, Jχ, Tχ) = 0 yields all known physical laws as macroscopic projections: gravity from χ‑entropy curvature, electrodynamics from χ‑information currents, Yang–Mills theory from χ‑boundary invariants, Dirac spectra from Riemann‑zero ordinates, and cosmology from χ‑entropic expansion. The theory develops χ‑thermodynamics, χ‑computing, χ‑condensed‑matter physics, χ‑quantum information, χ‑black‑hole dynamics, χ‑cosmogenesis, χ‑biology, and χ‑mathematics as operator‑spectral disciplines. ZEBTS‑SUPER is presented as a complete, closed, minimal Theory of Everything, deriving all physical and mathematical structure from χ‑spectral dynamics and establishing χ‑ontology as the foundational architecture of reality.
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BibTeX
@misc{mukha2026χunification,
title = {{χ‑Unification: The Unified Spectral–Topological Foundation of Physics}},
author = {Anatolii Mukha},
year = {2026},
month = aug,
doi = {10.33774/coe-2026-85qft},
url = {https://doi.org/10.33774/coe-2026-85qft},
note = {CC BY},
}
RIS
TY - UNPB
TI - χ‑Unification: The Unified Spectral–Topological Foundation of Physics
AU - Anatolii Mukha
PY - 2026
DA - 2026/08/16
DO - 10.33774/coe-2026-85qft
UR - https://doi.org/10.33774/coe-2026-85qft
AB - ZEBTS‑SUPER 9.0 introduces a unified operator‑spectral framework in which spacetime, matter, fields, forces, information, entropy, causality, computation, biology, and cosmology emerge as macroscopic projections of a single non‑Hermitian χ‑operator Dχ with eigenvalues λ_n = 1/2 + i t_n. The χ‑Absolute A = Ker(Dχ) defines the zero‑entropy ground state, while the χ‑Boundary B = S^3 / I* arises from spectral activation t_n ≠ 0 and functions as the universal topological engine generating χ‑modular flows, χ‑prime‑mode topology, χ‑holography, and χ‑spectral protection. The pseudo‑Riemannian metric follows from the Dixmier trace invariant Trω([Dχ, Xμ] χJ [Dχ, Xν] χJ) = diag(1, −1, −1, −1), and the invariant speed of light is shown to be a topological constant of the noncommutative χ‑boundary ∂Sχ. A universal functional Uχ(Dχ, Sχ, Rχ, Jχ, Tχ) = 0 yields all known physical laws as macroscopic projections: gravity from χ‑entropy curvature, electrodynamics from χ‑information currents, Yang–Mills theory from χ‑boundary invariants, Dirac spectra from Riemann‑zero ordinates, and cosmology from χ‑entropic expansion. The theory develops χ‑thermodynamics, χ‑computing, χ‑condensed‑matter physics, χ‑quantum information, χ‑black‑hole dynamics, χ‑cosmogenesis, χ‑biology, and χ‑mathematics as operator‑spectral disciplines. ZEBTS‑SUPER is presented as a complete, closed, minimal Theory of Everything, deriving all physical and mathematical structure from χ‑spectral dynamics and establishing χ‑ontology as the foundational architecture of reality.
ER -