Chronogroup via Quantum Field Theory G: Quantum Gravity and Gauge Fields: A Non-Perturbative Framework
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2025
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| author | ZHOU, ziqing zhou, Changzheng |
| author_facet | ZHOU, ziqing zhou, Changzheng |
| contents | <p>This paper constructs a spatiotemporal algebraic-topological unified paradigm<br> through the core concepts of Chronogroup and Spectral Temporal Coho<br>mology, providing a non-perturbative mathematical framework for gauge theory,<br> quantum gravity, and geometric flows. Key breakthroughs include:<br> 1. Unification of Gauge Theory: Proof that the first-order temporal coho<br>mology group H1t of SU(N) gauge group is isomorphic to the Chern number,<br> with the mass gap ∆ > 0 equivalent to the triviality of H1t at energy scales<br> E <∆. Confinement phase transition is interpreted as topological obstruc<br>tion at scales ΛQCD < E < ∆.<br> 2. Gravitational Singularity Diagnosis: Construction of gravitational chronogroup<br> GGR, where spacetime singularities correspond to non-trivial spectral coho<br>mology, providing topological criteria for cosmic censorship.<br> 3. Ricci Flow Surgery Control: Association of Ricci flow singularity forma<br>tion with H1t phase transitions, guided by cohomology generators.<br> 4. Holographic Duality Algebraization: Establishment of bulk-boundary<br> chronogroup homomorphism Φ, realizing algebraic formulation of AdS/CFT<br> and deriving the equivalence SBH = logdimH0t between black hole entropy<br> and boundary entanglement entropy</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_16979567 |
| institution | Zenodo |
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| publishDate | 2025 |
| publisher | Zenodo |
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| spellingShingle | Chronogroup via Quantum Field Theory G: Quantum Gravity and Gauge Fields: A Non-Perturbative Framework ZHOU, ziqing zhou, Changzheng Chronogroup; Spectral Cohomology; Non-Perturbative Quantum Field The ory; Quantum Gravity; Geometric Flows; Holographic Duality; Topological Surgery; Ad S/CFT <p>This paper constructs a spatiotemporal algebraic-topological unified paradigm<br> through the core concepts of Chronogroup and Spectral Temporal Coho<br>mology, providing a non-perturbative mathematical framework for gauge theory,<br> quantum gravity, and geometric flows. Key breakthroughs include:<br> 1. Unification of Gauge Theory: Proof that the first-order temporal coho<br>mology group H1t of SU(N) gauge group is isomorphic to the Chern number,<br> with the mass gap ∆ > 0 equivalent to the triviality of H1t at energy scales<br> E <∆. Confinement phase transition is interpreted as topological obstruc<br>tion at scales ΛQCD < E < ∆.<br> 2. Gravitational Singularity Diagnosis: Construction of gravitational chronogroup<br> GGR, where spacetime singularities correspond to non-trivial spectral coho<br>mology, providing topological criteria for cosmic censorship.<br> 3. Ricci Flow Surgery Control: Association of Ricci flow singularity forma<br>tion with H1t phase transitions, guided by cohomology generators.<br> 4. Holographic Duality Algebraization: Establishment of bulk-boundary<br> chronogroup homomorphism Φ, realizing algebraic formulation of AdS/CFT<br> and deriving the equivalence SBH = logdimH0t between black hole entropy<br> and boundary entanglement entropy</p> |
| title | Chronogroup via Quantum Field Theory G: Quantum Gravity and Gauge Fields: A Non-Perturbative Framework |
| topic | Chronogroup; Spectral Cohomology; Non-Perturbative Quantum Field The ory; Quantum Gravity; Geometric Flows; Holographic Duality; Topological Surgery; Ad S/CFT |
| url | https://doi.org/10.5281/zenodo.16979567 |