From Zero-Dimensional Projection to the Real World: Heterodimensional Expansion and Alignment with the Standard Model plus Cosmology Framework Collaboration (Integrated Version)
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| Formato: | Recurso digital |
| Lenguaje: | inglés |
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2026
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| _version_ | 1866901440502431744 |
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| author | Yu, Guanhua |
| author_facet | Yu, Guanhua |
| contents | <p><span>We propose a minimal mathematical framework in which structure degrees of freedom emerge dynamically from an initially structureless zero-dimensional state in a Hilbert space H, driven by two non-commuting orthogonal projection operators P and Q. The framework is organized into five rigorous layers---functional analysis → operator algebra → representation theory → Lie algebra emergence → physical interpretation and holographic alignment---naturally yielding the Standard Model gauge group SU(3)×SU(2)×U(1), a hierarchical fermion mass spectrum, and quantitative alignment with cosmological observations (dark-energy density and the holographic area law). We clarify that the pivotal “i-axis” is a purely algebraic feature of the complex structure operator J in the operator algebra; it guarantees Lie-algebra closure and, under holographic duality, corresponds to an internal phase direction in symmetry space. The holographic principle (AdS/CFT correspondence) manifests here as a bulk-boundary measure correspondence in the heterodimensional space. All checkpoints are verified by strict proofs.</span></p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19337399 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | From Zero-Dimensional Projection to the Real World: Heterodimensional Expansion and Alignment with the Standard Model plus Cosmology Framework Collaboration (Integrated Version) Yu, Guanhua zero-dimensional origin non-commuting projections Halmos decomposition emergent gauge group holographic principle heterodimensional space Theoretical Physics Mathematical Physics High Energy Physics Operator Algebras Representation Theory <p><span>We propose a minimal mathematical framework in which structure degrees of freedom emerge dynamically from an initially structureless zero-dimensional state in a Hilbert space H, driven by two non-commuting orthogonal projection operators P and Q. The framework is organized into five rigorous layers---functional analysis → operator algebra → representation theory → Lie algebra emergence → physical interpretation and holographic alignment---naturally yielding the Standard Model gauge group SU(3)×SU(2)×U(1), a hierarchical fermion mass spectrum, and quantitative alignment with cosmological observations (dark-energy density and the holographic area law). We clarify that the pivotal “i-axis” is a purely algebraic feature of the complex structure operator J in the operator algebra; it guarantees Lie-algebra closure and, under holographic duality, corresponds to an internal phase direction in symmetry space. The holographic principle (AdS/CFT correspondence) manifests here as a bulk-boundary measure correspondence in the heterodimensional space. All checkpoints are verified by strict proofs.</span></p> |
| title | From Zero-Dimensional Projection to the Real World: Heterodimensional Expansion and Alignment with the Standard Model plus Cosmology Framework Collaboration (Integrated Version) |
| topic | zero-dimensional origin non-commuting projections Halmos decomposition emergent gauge group holographic principle heterodimensional space Theoretical Physics Mathematical Physics High Energy Physics Operator Algebras Representation Theory |
| url | https://doi.org/10.5281/zenodo.19337399 |