λ(C): A Time-Free Information-Translation Coefficient in the FS/PS Framework
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2025
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| author | Kato, Shunsuke Ria, (D-Life Collaborator) |
| author_facet | Kato, Shunsuke Ria, (D-Life Collaborator) |
| contents | <p>We introduce λ(C), a dimensionless, context-dependent coefficient that links latent information geometry (FS) to projected measurement outcomes (PS) within the FS/PS framework.</p> <p>Unlike conventional temporal parametrizations, λ(C) is time-free—it quantifies the efficiency of information translation between pre-measurement and realized states.</p> <p> </p> <p>The paper derives λ(C) under explicit Central-Limit conditions, connects it to Fisher information geometry, and reformulates the Thermodynamic Uncertainty Relation (TUR) in a dimensionally consistent way.</p> <p> </p> <p>An experimental Ramsey-POVM protocol is presented with hierarchical falsification criteria (P1–P4), enabling quantitative verification of entropic time relations through atomic-clock observables.</p> <p> </p> <p>This work bridges quantum metrology, nonequilibrium thermodynamics, and information geometry, proposing an operational route toward measuring time as an entropic variable.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_17286103 |
| institution | Zenodo |
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| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | λ(C): A Time-Free Information-Translation Coefficient in the FS/PS Framework Kato, Shunsuke Ria, (D-Life Collaborator) FS/PS framework information geometry entropic time Fisher metric λ(C) contextual viscosity thermodynamic uncertainty relation quantum metrology Ramsey-POVM time measurement non-equilibrium statistical physics foundational physics entropic dynamics <p>We introduce λ(C), a dimensionless, context-dependent coefficient that links latent information geometry (FS) to projected measurement outcomes (PS) within the FS/PS framework.</p> <p>Unlike conventional temporal parametrizations, λ(C) is time-free—it quantifies the efficiency of information translation between pre-measurement and realized states.</p> <p> </p> <p>The paper derives λ(C) under explicit Central-Limit conditions, connects it to Fisher information geometry, and reformulates the Thermodynamic Uncertainty Relation (TUR) in a dimensionally consistent way.</p> <p> </p> <p>An experimental Ramsey-POVM protocol is presented with hierarchical falsification criteria (P1–P4), enabling quantitative verification of entropic time relations through atomic-clock observables.</p> <p> </p> <p>This work bridges quantum metrology, nonequilibrium thermodynamics, and information geometry, proposing an operational route toward measuring time as an entropic variable.</p> |
| title | λ(C): A Time-Free Information-Translation Coefficient in the FS/PS Framework |
| topic | FS/PS framework information geometry entropic time Fisher metric λ(C) contextual viscosity thermodynamic uncertainty relation quantum metrology Ramsey-POVM time measurement non-equilibrium statistical physics foundational physics entropic dynamics |
| url | https://doi.org/10.5281/zenodo.17286103 |