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2026
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| Accesso online: | https://doi.org/10.5281/zenodo.19447465 |
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| _version_ | 1866901947928281088 |
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| author | Baran, Abdullah |
| author_facet | Baran, Abdullah |
| contents | <p>This paper presents the Baran Multi-Time Metric Framework, an original theoretical contribution first proposed by Abdullah Baran in 2025. All theoretical constructions in this work — the sector decomposition, the inter-sector interaction structure, the coupled-time ansatz, the effective light speed formula, and the quaternion time encoding — are original contributions of the author.</p> <p>The framework introduces the metric ds² = −Σ cₙ² dtₙ² + dx² + dy² + dz², generalizing Minkowski spacetime to an (N+3)-dimensional manifold M^{N,3} with N independent time axes sharing a common three-dimensional spatial manifold. Each time axis defines a sector with its own characteristic speed cₙ. Three cases are developed: N=1 (standard Minkowski, recovered as a limiting case), N=2 (the author's earlier two-time proposal), and general N.</p> <p>Mass in any sector curves the shared spatial geometry, producing gravitational effects in all sectors while remaining electromagnetically undetectable — reproducing the observational signatures of dark matter without additional assumptions. For N=3, Hamilton's quaternions provide a natural algebraic encoding of the three time axes via Im(H), yielding a compact isotropic metric ds² = −c²|dt|² + |dx|² with SO(3) rotational symmetry in time-space. The Hurwitz division algebra hierarchy (R, C, H, O) identifies N ∈ {1, 3, 7} as the algebraically privileged cases. Seven open problems are stated for future investigation.</p> <p>Written in Kurmanji Kurdish, Turkish and English.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19447465 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Baran Multi-Time Metric Framework: Generalized (N+3)-Dimensional Spacetime, Quaternion Time Representation, and Dark Matter Analogy Baran, Abdullah Multi-time metric Spacetime <p>This paper presents the Baran Multi-Time Metric Framework, an original theoretical contribution first proposed by Abdullah Baran in 2025. All theoretical constructions in this work — the sector decomposition, the inter-sector interaction structure, the coupled-time ansatz, the effective light speed formula, and the quaternion time encoding — are original contributions of the author.</p> <p>The framework introduces the metric ds² = −Σ cₙ² dtₙ² + dx² + dy² + dz², generalizing Minkowski spacetime to an (N+3)-dimensional manifold M^{N,3} with N independent time axes sharing a common three-dimensional spatial manifold. Each time axis defines a sector with its own characteristic speed cₙ. Three cases are developed: N=1 (standard Minkowski, recovered as a limiting case), N=2 (the author's earlier two-time proposal), and general N.</p> <p>Mass in any sector curves the shared spatial geometry, producing gravitational effects in all sectors while remaining electromagnetically undetectable — reproducing the observational signatures of dark matter without additional assumptions. For N=3, Hamilton's quaternions provide a natural algebraic encoding of the three time axes via Im(H), yielding a compact isotropic metric ds² = −c²|dt|² + |dx|² with SO(3) rotational symmetry in time-space. The Hurwitz division algebra hierarchy (R, C, H, O) identifies N ∈ {1, 3, 7} as the algebraically privileged cases. Seven open problems are stated for future investigation.</p> <p>Written in Kurmanji Kurdish, Turkish and English.</p> |
| title | Baran Multi-Time Metric Framework: Generalized (N+3)-Dimensional Spacetime, Quaternion Time Representation, and Dark Matter Analogy |
| topic | Multi-time metric Spacetime |
| url | https://doi.org/10.5281/zenodo.19447465 |