Dual Asymptotic Structure in Relativistic Proper-Time Geometry: A Minimal Necessity Argument
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2026
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| _version_ | 1866901657702367232 |
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| author | Williams, Oliver Xavier |
| author_facet | Williams, Oliver Xavier |
| contents | <p>Special relativity is commonly interpreted as possessing a single asymptotic limit associated with lightlike motion. This work re-expresses that limit as a property of proper-time response rather than a kinematic boundary and examines the consequences of relational comparison between worldlines. The existence of an asymptotic suppression of proper time implies, under the assumption of relational closure, a complementary asymptotic structure when defined globally. Enforcing symmetry and consistency yields a minimal deformation of the clock law introducing a new scale βf . The resulting form χ(β) = 1 + (βf /β)2 defines a lower asymptote in proper-time response. The deformation, its uniqueness, and its empirical consequences are analyzed. The scale βf admits extraction from precision experiments, providing a direct empirical anchor.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19150685 |
| institution | Zenodo |
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| publishDate | 2026 |
| publisher | Zenodo |
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| spellingShingle | Dual Asymptotic Structure in Relativistic Proper-Time Geometry: A Minimal Necessity Argument Williams, Oliver Xavier Special Relativity Proper-Time Dual Asymptotes Temporal Geometry Chronomagnetism Remainder of Relativity Minimal Necessity Argument Physics Light Speed Barrier Clock Law Boundary Lorentz factory Worldline Comparison Inverse sensitivity Missing Link Time Dialation Foundations of Physics Theoretical Physics <p>Special relativity is commonly interpreted as possessing a single asymptotic limit associated with lightlike motion. This work re-expresses that limit as a property of proper-time response rather than a kinematic boundary and examines the consequences of relational comparison between worldlines. The existence of an asymptotic suppression of proper time implies, under the assumption of relational closure, a complementary asymptotic structure when defined globally. Enforcing symmetry and consistency yields a minimal deformation of the clock law introducing a new scale βf . The resulting form χ(β) = 1 + (βf /β)2 defines a lower asymptote in proper-time response. The deformation, its uniqueness, and its empirical consequences are analyzed. The scale βf admits extraction from precision experiments, providing a direct empirical anchor.</p> |
| title | Dual Asymptotic Structure in Relativistic Proper-Time Geometry: A Minimal Necessity Argument |
| topic | Special Relativity Proper-Time Dual Asymptotes Temporal Geometry Chronomagnetism Remainder of Relativity Minimal Necessity Argument Physics Light Speed Barrier Clock Law Boundary Lorentz factory Worldline Comparison Inverse sensitivity Missing Link Time Dialation Foundations of Physics Theoretical Physics |
| url | https://doi.org/10.5281/zenodo.19150685 |