Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Recurso digital |
| Langue: | |
| Publié: |
Zenodo
2025
|
| Accès en ligne: | https://doi.org/10.5281/zenodo.17929973 |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
Table des matières:
- <p>This work presents a reformulation of dynamical laws based on information-geometric distance measures and retarded kernel dynamics.<br>Instead of postulating probabilistic interpretation or locality as axioms, the framework derives probability assignment, unitary evolution, and classical limits from a unified distance-based structure defined on state space.</p> <p>The proposed formalism naturally reproduces standard quantum dynamics in the appropriate limit, while providing a continuous transition to classical and relativistic regimes.<br>Connections to information geometry, continuity equations, and effective non-local dynamics are discussed, with particular emphasis on how known results emerge as limiting cases rather than independent postulates.</p> <p>This approach is intended as a complementary perspective to existing formulations, offering a unified structural viewpoint rather than introducing new empirical assumptions.<br><br>1. Introduction 2. Conceptual Motivation 3. Distance-Based State Space 4. Retarded Kernel Dynamics 5. Unitary Evolution and Continuity 6. Emergence of the Schrödinger Equation 7. Probability Density and the Born Rule 8. Information Geometry and Fisher Structure 9. Fubini–Study Distance Limit 10. Density Matrix and Mixed States 11. Classical Limit and Hamilton–Jacobi Theory 12. Relativistic Extension 13. Effective Gravitational Dynamics 14. Information-Induced Curvature 15. Cosmological Limit (FLRW Dynamics) 16. Galactic Rotation Curves 17. SPARC Relation and Acceleration Scale 18. Unified Limit Correspondence 19. Minimal Axiomatic Formulation 20. Discussion 21. Conclusion</p>