| _version_ | 1866901590095429632 |
|---|---|
| author | Al-Mayahi, Abdulsalam |
| author_facet | Al-Mayahi, Abdulsalam |
| contents | <p>This preprint reparameterizes classical mechanics using an internal time τ and a measurable clock-rate field χ = dt/dτ. It derives τ-form kinematics, τ-form Newtonian dynamics, and a variational/Hamiltonian formulation where χ acts as a lapse/rate field. The central operational claim is that when χ varies across conditions, external clock time t behaves as a shadow coordinate of progress, while τ provides the progress-invariant coordinate that collapses heterogeneous trajectories. The appendices include a complete numerical validation and reproducible Python code for the trajectory-collapse demonstration.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_17941179 |
| institution | Zenodo |
| language | |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | τ-MECHANICS: Reparameterized Dynamics with an Internal Clock-Rate Field χ = dt/dτ Al-Mayahi, Abdulsalam <p>This preprint reparameterizes classical mechanics using an internal time τ and a measurable clock-rate field χ = dt/dτ. It derives τ-form kinematics, τ-form Newtonian dynamics, and a variational/Hamiltonian formulation where χ acts as a lapse/rate field. The central operational claim is that when χ varies across conditions, external clock time t behaves as a shadow coordinate of progress, while τ provides the progress-invariant coordinate that collapses heterogeneous trajectories. The appendices include a complete numerical validation and reproducible Python code for the trajectory-collapse demonstration.</p> |
| title | τ-MECHANICS: Reparameterized Dynamics with an Internal Clock-Rate Field χ = dt/dτ |
| url | https://doi.org/10.5281/zenodo.17941179 |