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| Main Author: | |
|---|---|
| Format: | Recurso digital |
| Language: | English |
| Published: |
Zenodo
2026
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| Online Access: | https://doi.org/10.5281/zenodo.20159702 |
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Table of Contents:
- <p>We investigate a geometric framework in which effective acceleration<br> laws are associated with a curvature parametrization defined on<br> tangent-direction space. Within this approach, particle motion is<br> described through local geometric quantities involving a<br> projective-curvature invariant and characteristic dynamical scales.<br> In regimes of slowly varying curvature, the resulting acceleration laws<br> recover the structure of standard inverse-square behaviour while<br> providing an alternative geometric parametrization in which acceleration<br> is associated with variations of tangent-direction geometry.<br> Illustrative applications to spherically symmetric configurations and<br> orbital motion are discussed. In particular, inverse-square scaling may<br> be recovered for suitable curvature profiles, while circular motion<br> admits a natural representation in terms of a characteristic evolution<br> timescale.<br> These results suggest that certain acceleration phenomena may admit an<br> effective geometric description based on projective curvature in<br> tangent-direction space.<br>Keywords : geometric methods in physics --projective geometry --tangent-direction curvature --effective acceleration laws --orbital dynamics --scale-invariant dynamics}</p>