| _version_ | 1866901253063180288 |
|---|---|
| author | Hamadé, Melhem S. |
| author_facet | Hamadé, Melhem S. |
| contents | <p>We derive a parameter-free, falsifiable inequality linking entropy production, Fisher information, and spatial dispersion for systems undergoing free diffusion.</p> <p>The result follows from the matrix Cramér–Rao bound combined with De Bruijn’s identity and holds at all times for probability densities evolving under the diffusion equation ∂ₜρ = TΔρ. Gaussian states saturate the bound, while all other initial conditions obey it strictly.</p> <p>The inequality provides a direct experimental test of the information-geometric structure underlying thermodynamic response and can be validated using reconstructed density profiles in ultracold-atom experiments.</p> <p>This preprint is deposited on Zenodo to establish priority and enable open access prior to journal submission.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18088205 |
| institution | Zenodo |
| language | |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Thermodynamic Geometry and the Cramér--Rao Bound : A Falsifiable Link Between Information and Dispersion Hamadé, Melhem S. <p>We derive a parameter-free, falsifiable inequality linking entropy production, Fisher information, and spatial dispersion for systems undergoing free diffusion.</p> <p>The result follows from the matrix Cramér–Rao bound combined with De Bruijn’s identity and holds at all times for probability densities evolving under the diffusion equation ∂ₜρ = TΔρ. Gaussian states saturate the bound, while all other initial conditions obey it strictly.</p> <p>The inequality provides a direct experimental test of the information-geometric structure underlying thermodynamic response and can be validated using reconstructed density profiles in ultracold-atom experiments.</p> <p>This preprint is deposited on Zenodo to establish priority and enable open access prior to journal submission.</p> |
| title | Thermodynamic Geometry and the Cramér--Rao Bound : A Falsifiable Link Between Information and Dispersion |
| url | https://doi.org/10.5281/zenodo.18088205 |