The χ‑Discretisation Principle: A Unified Operator–Spectral Framework Surpassing Rational Quantum Mechanics
- 1Independent Researcher , retired person Kharkiv , Ukraine
Abstract
This article introduces the χ‑Spectral Architecture of ZEBTS‑SUPER 10.0, a unified operator‑geometric framework in which all physical and informational structures emerge from a single operator Aχ acting on the absolute χ‑vacuum. Spacetime, matter, fields, interactions, constants, causality, and computation arise as spectral projections constrained by Ωχ‑coherence, Sχ = min, χ‑Boundary topology, Nash embeddability, χ‑Poincaré connectivity, χ‑Lobachevsky hyperbolicity, ζχ‑invariants, and moduli Mχ. Quantization follows from spectral minimality; gravity from curvature κχ; electromagnetism from χ‑photon perturbations; weak and strong interactions from χ‑Boundary and triadic symmetry; information from coherence‑preserving spectral patterns. The χ‑chain is logically closed: no consistent extension is possible. RaQM appears as a rational projection, while standard quantum field theory and general relativity arise as weak‑gravity limits. The framework yields testable predictions, including fixed coupling constants, coherence‑bounded computation, forbidden directions, curvature‑dependent deviations from continuum physics, and number‑theoretic spectral structure. ZEBTS‑SUPER 10.0 provides a complete, non‑extendable operator‑spectral foundation of physical reality.
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BibTeX
@misc{mukha2026χdiscretisation,
title = {{The χ‑Discretisation Principle: A Unified Operator–Spectral Framework Surpassing Rational Quantum Mechanics}},
author = {Anatolii Mukha},
year = {2026},
month = aug,
doi = {10.33774/coe-2026-bnklc},
url = {https://doi.org/10.33774/coe-2026-bnklc},
note = {CC BY},
}
RIS
TY - UNPB
TI - The χ‑Discretisation Principle: A Unified Operator–Spectral Framework Surpassing Rational Quantum Mechanics
AU - Anatolii Mukha
PY - 2026
DA - 2026/08/19
DO - 10.33774/coe-2026-bnklc
UR - https://doi.org/10.33774/coe-2026-bnklc
AB - This article introduces the χ‑Spectral Architecture of ZEBTS‑SUPER 10.0, a unified operator‑geometric framework in which all physical and informational structures emerge from a single operator Aχ acting on the absolute χ‑vacuum. Spacetime, matter, fields, interactions, constants, causality, and computation arise as spectral projections constrained by Ωχ‑coherence, Sχ = min, χ‑Boundary topology, Nash embeddability, χ‑Poincaré connectivity, χ‑Lobachevsky hyperbolicity, ζχ‑invariants, and moduli Mχ. Quantization follows from spectral minimality; gravity from curvature κχ; electromagnetism from χ‑photon perturbations; weak and strong interactions from χ‑Boundary and triadic symmetry; information from coherence‑preserving spectral patterns. The χ‑chain is logically closed: no consistent extension is possible. RaQM appears as a rational projection, while standard quantum field theory and general relativity arise as weak‑gravity limits. The framework yields testable predictions, including fixed coupling constants, coherence‑bounded computation, forbidden directions, curvature‑dependent deviations from continuum physics, and number‑theoretic spectral structure. ZEBTS‑SUPER 10.0 provides a complete, non‑extendable operator‑spectral foundation of physical reality.
ER -