GR--CS III: Finite Curvature and the Stopped--Clock Horizon
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| Natura: | Recurso digital |
| Lingua: | inglese |
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Zenodo
2025
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| _version_ | 1866901167510913024 |
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| author | Wolford, Charles |
| author_facet | Wolford, Charles |
| contents | <p>This paper extends the General Relativity–Clock Shift (GR-CS) framework to the domain of gravitational collapse and black-hole interiors. It introduces the concept of a finite-curvature “stopped-clock horizon,” where the scalar time field N(x) asymptotically approaches zero, halting local time progression without producing infinite curvature.</p> <p> </p> <p>In this formulation, gravitational collapse is governed by temporal compression rather than geometric singularity, preserving full consistency with Einstein’s field equations while eliminating divergence at the core. The horizon represents a limit surface of finite energy density and vanishing clock rate, yielding the same external observables as classical general relativity.</p> <p> </p> <p>This conceptual development marks the third stage of the GR-CS series, following Clock Differential Formulation of GR-CS and Clock Gradient Gravitational. It emphasizes the physical interpretation of gravity as modulation of time flow, offering a pathway to bridge classical GR with quantum information and thermodynamic boundary models.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_17504177 |
| institution | Zenodo |
| language | eng |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | GR--CS III: Finite Curvature and the Stopped--Clock Horizon Wolford, Charles General Relativity, GR-CS, scalar time field, clock shift, black holes, finite curvature, horizon physics, singularity resolution, time compression, gravitational collapse, temporal field dynamics, quantum gravity correspondence, spacetime geometry <p>This paper extends the General Relativity–Clock Shift (GR-CS) framework to the domain of gravitational collapse and black-hole interiors. It introduces the concept of a finite-curvature “stopped-clock horizon,” where the scalar time field N(x) asymptotically approaches zero, halting local time progression without producing infinite curvature.</p> <p> </p> <p>In this formulation, gravitational collapse is governed by temporal compression rather than geometric singularity, preserving full consistency with Einstein’s field equations while eliminating divergence at the core. The horizon represents a limit surface of finite energy density and vanishing clock rate, yielding the same external observables as classical general relativity.</p> <p> </p> <p>This conceptual development marks the third stage of the GR-CS series, following Clock Differential Formulation of GR-CS and Clock Gradient Gravitational. It emphasizes the physical interpretation of gravity as modulation of time flow, offering a pathway to bridge classical GR with quantum information and thermodynamic boundary models.</p> |
| title | GR--CS III: Finite Curvature and the Stopped--Clock Horizon |
| topic | General Relativity, GR-CS, scalar time field, clock shift, black holes, finite curvature, horizon physics, singularity resolution, time compression, gravitational collapse, temporal field dynamics, quantum gravity correspondence, spacetime geometry |
| url | https://doi.org/10.5281/zenodo.17504177 |