A Geometric Framework for a Universal Scalar Field in 10 Dimensions
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| Formato: | Recurso digital |
| Lenguaje: | inglés |
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2025
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| _version_ | 1866901744036872192 |
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| author | riviere, christophe |
| author_facet | riviere, christophe |
| contents | <p>This work proposes a new way to understand the fundamental laws of physics by describing the Universe as a richer geometric structure than ordinary space-time. Instead of the usual four dimensions (three of space and one of time), the model introduces a six-dimensional compact internal geometry, which together with our observable space forms a <strong>10-dimensional framework</strong>.</p> <p>At the heart of this approach lies the <strong>Planck Field (Champ P)</strong>, a universal scalar field defined on the compact manifold<br>Σ=(S3×S3)/Z3<br>This field, together with the internal geometry, provides a common foundation for describing gravitation, quantum phenomena, decoherence, and even certain thermodynamic properties.</p> <p>In this picture, particles of the Standard Model are no longer seen as “fundamental” objects but as topological manifestations of the structure of Σ. The three fermionic generations emerge naturally from the topology of the vacuum, while the internal dynamics—especially the time evolution of the internal radius RΣ(t)R_\Sigma(t)RΣ(t)—influence gravity, vacuum energy, and several cosmological effects.</p> <p>By combining ideas from the Caldeira–Leggett formalism, Lindblad dynamics, and the Wheeler–DeWitt equation, the Planck Field offers a unified description of interactions between matter, energy, and geometry.<br>This framework opens new perspectives on dark matter, vacuum fluctuations, the origin of time, and the deep structure of the Universe, while being governed by a <strong>single fundamental constant</strong>, at the next update, a length scale L0from which all physical scales originate.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_17659117 |
| institution | Zenodo |
| language | eng |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | A Geometric Framework for a Universal Scalar Field in 10 Dimensions riviere, christophe Quantum Theory Topology Physics Mathematical physics Particle physics Atomic physics Quantum computers Physical cosmology <p>This work proposes a new way to understand the fundamental laws of physics by describing the Universe as a richer geometric structure than ordinary space-time. Instead of the usual four dimensions (three of space and one of time), the model introduces a six-dimensional compact internal geometry, which together with our observable space forms a <strong>10-dimensional framework</strong>.</p> <p>At the heart of this approach lies the <strong>Planck Field (Champ P)</strong>, a universal scalar field defined on the compact manifold<br>Σ=(S3×S3)/Z3<br>This field, together with the internal geometry, provides a common foundation for describing gravitation, quantum phenomena, decoherence, and even certain thermodynamic properties.</p> <p>In this picture, particles of the Standard Model are no longer seen as “fundamental” objects but as topological manifestations of the structure of Σ. The three fermionic generations emerge naturally from the topology of the vacuum, while the internal dynamics—especially the time evolution of the internal radius RΣ(t)R_\Sigma(t)RΣ(t)—influence gravity, vacuum energy, and several cosmological effects.</p> <p>By combining ideas from the Caldeira–Leggett formalism, Lindblad dynamics, and the Wheeler–DeWitt equation, the Planck Field offers a unified description of interactions between matter, energy, and geometry.<br>This framework opens new perspectives on dark matter, vacuum fluctuations, the origin of time, and the deep structure of the Universe, while being governed by a <strong>single fundamental constant</strong>, at the next update, a length scale L0from which all physical scales originate.</p> |
| title | A Geometric Framework for a Universal Scalar Field in 10 Dimensions |
| topic | Quantum Theory Topology Physics Mathematical physics Particle physics Atomic physics Quantum computers Physical cosmology |
| url | https://doi.org/10.5281/zenodo.17659117 |