| _version_ | 1866901567747129344 |
|---|---|
| author | Valeri Vukolov |
| author_facet | Valeri Vukolov |
| contents | <p>This paper establishes a rigorous framework for quantum superpositions of topological phases within the geometric model of elementary particles. We define Hilbert spaces for spherical (S2), toroidal (T 2), and gravitonic (half-torus) configurations, with transition operators governed by Hodge theory. The model predicts measurable Berry phase accumulation during topological transitions and anomalous scattering cross-sections. Experimental verification protocols for quantum processors<br>and colliders are proposed, unifying particle physics with quantum gravity through topological superposition.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_15741528 |
| institution | Zenodo |
| language | |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Quantum Superposition of Topological Phases: A Unified Framework for Particle Geometry Valeri Vukolov Quantum superposition, Topological phases, Berry phase, Hodge theory, Clifford algebra, Geometric quantization, Ricci flow, Graviton topology, Topological transitions, Quantum gravity, Particle geometry, Scattering anomalies, Quantum simulation, Collider signatures, Unified field theory <p>This paper establishes a rigorous framework for quantum superpositions of topological phases within the geometric model of elementary particles. We define Hilbert spaces for spherical (S2), toroidal (T 2), and gravitonic (half-torus) configurations, with transition operators governed by Hodge theory. The model predicts measurable Berry phase accumulation during topological transitions and anomalous scattering cross-sections. Experimental verification protocols for quantum processors<br>and colliders are proposed, unifying particle physics with quantum gravity through topological superposition.</p> |
| title | Quantum Superposition of Topological Phases: A Unified Framework for Particle Geometry |
| topic | Quantum superposition, Topological phases, Berry phase, Hodge theory, Clifford algebra, Geometric quantization, Ricci flow, Graviton topology, Topological transitions, Quantum gravity, Particle geometry, Scattering anomalies, Quantum simulation, Collider signatures, Unified field theory |
| url | https://doi.org/10.5281/zenodo.15741528 |