Operator–Spectral Revolution: Global Advantages of ZEBTS‑SUPER Over All Existing Physical Theories
Abstract
ZEBTS‑SUPER establishes a unified operator–spectral ontology in which all physical, geometric, informational, cosmological, and cognitive phenomena arise as projections of a single self‑adjoint elliptic operator Tχ:H2(Sχ2)→L2(Sχ2). Its spectral invariants — eigenvalues λn, eigenfunctions ψn, boundary operators Sχ and Bχ, curvature Kχ, spectral order Ordχ, and global spectral function Lχ(s) — form a complete, computable, and experimentally falsifiable architecture of reality. The χ‑ontology replaces global analytic assumptions with strictly local operator–spectral structures: geometry is reconstructed from spectral data, dynamics arise from χ‑flow e−tTχ, boundary stability determines collapse, and hyperbolic curvature Kχ<0 generates nonlocal correlations across quantum, geometric, cosmological, informational, and cognitive domains. Quantum and gravitational evolution emerge from the same operator, resolving the discontinuity between Hilbert‑space quantum mechanics and geometric gravitation. Collapse is a boundary‑spectral instability ∥Sχ∥>Sχ,crit; nonlocality is a consequence of negative curvature; information corresponds to spectral order; entropy corresponds to Lχ(s); cosmology corresponds to spectral expansion λn(t); and consciousness corresponds to boundary‑stable spectral modes under ∥Bχ∥<ε. Each phenomenon admits explicit numerical reconstruction, stability criteria, and falsification rules. ZEBTS‑SUPER provides operator–spectral formulations of mass without Higgs, baryon stability, photon internal geometry, ER=EPR, spectral curvature correspondence, and χ‑Ricci evolution. All χ‑objects admit finite‑mode approximations Tχ(N), Kχ(N), Ricχ(N), Lχ(N)(s), Ordχ(N) with controlled convergence. The theory is fully falsifiable: violation of spectral convergence, boundary neutrality, hyperbolicity, χ‑Trinity, or dynamical consistency disproves the χ‑structure. ZEBTS‑SUPER thus forms a complete, computable, experimentally testable operator–spectral architecture of reality, unifying physics, geometry, information, cosmology, and cognition within a single mathematically rigorous framework.
Related
- Entropy, Expansion, and χ‑Spectral Structuring: Operator‑Geometric Resolution of the Cosmological Order‑from‑Chaos Paradox
- Spectral Reconstruction of Lorentz Structure from the χ‑Operator An Operator‑Theoretic Resolution of Non‑Transitivity in Special Relativity
- The χ‑Discretisation Principle: A Unified Operator–Spectral Framework Surpassing Rational Quantum Mechanics
- χ‑Spectral Geometry of Cosmological Mass Renormalization: Operator‑Topological Reconstruction of the Perimeter Institute "Dark Force" Effect
- Monograph The Absolute and the SIP: Operator–Spectral Reconstruction of Religious Dualism in the ZEBTS‑SUPER Ontology
BibTeX
@misc{mukha2026operatorspectral,
title = {{Operator–Spectral Revolution: Global Advantages of ZEBTS‑SUPER Over All Existing Physical Theories}},
author = {Anatolii Mukha},
howpublished = {Zenodo (CERN European Organization for Nuclear Research)},
year = {2026},
month = sep,
doi = {10.5281/zenodo.22548037},
url = {https://doi.org/10.5281/zenodo.22548037},
note = {CC BY},
}
RIS
TY - UNPB
TI - Operator–Spectral Revolution: Global Advantages of ZEBTS‑SUPER Over All Existing Physical Theories
AU - Anatolii Mukha
PY - 2026
DA - 2026/09/06
PB - Zenodo (CERN European Organization for Nuclear Research)
DO - 10.5281/zenodo.22548037
UR - https://doi.org/10.5281/zenodo.22548037
AB - ZEBTS‑SUPER establishes a unified operator–spectral ontology in which all physical, geometric, informational, cosmological, and cognitive phenomena arise as projections of a single self‑adjoint elliptic operator Tχ:H2(Sχ2)→L2(Sχ2). Its spectral invariants — eigenvalues λn, eigenfunctions ψn, boundary operators Sχ and Bχ, curvature Kχ, spectral order Ordχ, and global spectral function Lχ(s) — form a complete, computable, and experimentally falsifiable architecture of reality. The χ‑ontology replaces global analytic assumptions with strictly local operator–spectral structures: geometry is reconstructed from spectral data, dynamics arise from χ‑flow e−tTχ, boundary stability determines collapse, and hyperbolic curvature Kχ<0 generates nonlocal correlations across quantum, geometric, cosmological, informational, and cognitive domains. Quantum and gravitational evolution emerge from the same operator, resolving the discontinuity between Hilbert‑space quantum mechanics and geometric gravitation. Collapse is a boundary‑spectral instability ∥Sχ∥>Sχ,crit; nonlocality is a consequence of negative curvature; information corresponds to spectral order; entropy corresponds to Lχ(s); cosmology corresponds to spectral expansion λn(t); and consciousness corresponds to boundary‑stable spectral modes under ∥Bχ∥<ε. Each phenomenon admits explicit numerical reconstruction, stability criteria, and falsification rules. ZEBTS‑SUPER provides operator–spectral formulations of mass without Higgs, baryon stability, photon internal geometry, ER=EPR, spectral curvature correspondence, and χ‑Ricci evolution. All χ‑objects admit finite‑mode approximations Tχ(N), Kχ(N), Ricχ(N), Lχ(N)(s), Ordχ(N) with controlled convergence. The theory is fully falsifiable: violation of spectral convergence, boundary neutrality, hyperbolicity, χ‑Trinity, or dynamical consistency disproves the χ‑structure. ZEBTS‑SUPER thus forms a complete, computable, experimentally testable operator–spectral architecture of reality, unifying physics, geometry, information, cosmology, and cognition within a single mathematically rigorous framework.
ER -