Paper 168: Holosphere Theory as an Admissibility-Constrained Phase-Space Dynamics
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| Format: | Recurso digital |
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2026
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| _version_ | 1866902333264232448 |
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| author | Sarnowski, Michael |
| author_facet | Sarnowski, Michael |
| contents | <p>Paper 168 presents Holosphere Theory as an admissibility-constrained phase-space dynamics. The paper argues that recent Holosphere results share one common architecture: local states are not free to evolve through all possible configurations, but are filtered by admissibility rules, organized by topology into scaffolds, evolved through scaffold-supported transport, filtered by transfer operators, and finally read out through finite-context observable projections.</p> <p>The paper defines the Holosphere phase space as an extended constrained state space rather than a canonical symplectic phase space. The local state manifold is treated as SU(2), equivalent to S3, while admissibility rules determine which links, updates, scaffolds, transport fields, and readout transitions are physically accessible. This framing unifies prior results on state and mode switching, topology-limited access, scaffold-first transport, spectral filtering, BAO residual morphology, and measurement as basin capture.</p> <p>The main claim is structural, not empirical. Paper 168 does not introduce a new simulation, a new cosmological fit, or a completed analytic proof of all Holosphere mechanisms. Instead, it provides a common formal language for the existing corpus: admissibility defines the accessible state space, topology controls macroscopic access, scaffolds support transport, transfer operators determine visibility, finite recognition context controls morphology classification, and measurement records many-to-one readout from constrained phase space. The paper also states clear falsifiability conditions and separates imported foundations, prior numerical results, definitions, mechanisms, and future work.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19969112 |
| institution | Zenodo |
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| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Paper 168: Holosphere Theory as an Admissibility-Constrained Phase-Space Dynamics Sarnowski, Michael Holosphere Theory; admissibility; constrained state space; phase space; SU(2); S3; scaffold; transport; transfer operator; topology-limited access; finite recognition context; observable projection; basin capture; measurement; constrained dynamics. <p>Paper 168 presents Holosphere Theory as an admissibility-constrained phase-space dynamics. The paper argues that recent Holosphere results share one common architecture: local states are not free to evolve through all possible configurations, but are filtered by admissibility rules, organized by topology into scaffolds, evolved through scaffold-supported transport, filtered by transfer operators, and finally read out through finite-context observable projections.</p> <p>The paper defines the Holosphere phase space as an extended constrained state space rather than a canonical symplectic phase space. The local state manifold is treated as SU(2), equivalent to S3, while admissibility rules determine which links, updates, scaffolds, transport fields, and readout transitions are physically accessible. This framing unifies prior results on state and mode switching, topology-limited access, scaffold-first transport, spectral filtering, BAO residual morphology, and measurement as basin capture.</p> <p>The main claim is structural, not empirical. Paper 168 does not introduce a new simulation, a new cosmological fit, or a completed analytic proof of all Holosphere mechanisms. Instead, it provides a common formal language for the existing corpus: admissibility defines the accessible state space, topology controls macroscopic access, scaffolds support transport, transfer operators determine visibility, finite recognition context controls morphology classification, and measurement records many-to-one readout from constrained phase space. The paper also states clear falsifiability conditions and separates imported foundations, prior numerical results, definitions, mechanisms, and future work.</p> |
| title | Paper 168: Holosphere Theory as an Admissibility-Constrained Phase-Space Dynamics |
| topic | Holosphere Theory; admissibility; constrained state space; phase space; SU(2); S3; scaffold; transport; transfer operator; topology-limited access; finite recognition context; observable projection; basin capture; measurement; constrained dynamics. |
| url | https://doi.org/10.5281/zenodo.19969112 |