Intrinsic Geometry of Operational Contexts: Toward an N–Q–S Analog of Riemannian Geometry
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| Format: | Recurso digital |
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2025
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| _version_ | 1866902267772272640 |
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| author | Yoshida, Kazuyuki |
| author_facet | Yoshida, Kazuyuki |
| contents | <p>We propose an intrinsic geometric framework on the space of operational contexts, specified by channels, stationary states, and self-preservation functionals. Each context C carries a pointer algebra, internal charges, and a self-consistent configuration minimizing a self-preservation functional. The Hessian of this functional yields an intrinsic metric on charge space, while non-commutative questioning loops dN → dΦ → dρ◦ define a notion of curvature. In suitable regimes, this N–Q–S geometry reduces to familiar Fisher-type information metrics and admits charts that resemble Riemannian or Lorentzian space–times. We outline how gauge symmetries and gravitational dynamics can be interpreted as holonomies and consistency conditions in this context geometry.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_17920367 |
| institution | Zenodo |
| language | |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Intrinsic Geometry of Operational Contexts: Toward an N–Q–S Analog of Riemannian Geometry Yoshida, Kazuyuki context geometry intrinsic geometry operational quantum theory information geometry emergent gravity <p>We propose an intrinsic geometric framework on the space of operational contexts, specified by channels, stationary states, and self-preservation functionals. Each context C carries a pointer algebra, internal charges, and a self-consistent configuration minimizing a self-preservation functional. The Hessian of this functional yields an intrinsic metric on charge space, while non-commutative questioning loops dN → dΦ → dρ◦ define a notion of curvature. In suitable regimes, this N–Q–S geometry reduces to familiar Fisher-type information metrics and admits charts that resemble Riemannian or Lorentzian space–times. We outline how gauge symmetries and gravitational dynamics can be interpreted as holonomies and consistency conditions in this context geometry.</p> |
| title | Intrinsic Geometry of Operational Contexts: Toward an N–Q–S Analog of Riemannian Geometry |
| topic | context geometry intrinsic geometry operational quantum theory information geometry emergent gravity |
| url | https://doi.org/10.5281/zenodo.17920367 |