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2025
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| Online Access: | https://doi.org/10.5281/zenodo.17944203 |
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| author | Cabrera Vera, Kittim Lorena |
| author_facet | Cabrera Vera, Kittim Lorena |
| contents | <p>This paper develops an interpretive framework for time, measurement, and probability within the Kittim Projection. Building on the geometric and thermodynamic foundations established in the companion foundational paper, the present work focuses on the structural consequences of a non-invertible projection from a depth-indexed coherence structure to observable three-dimensional space.</p> <p>A distinction is introduced between coordinate time, which parametrizes dynamical descriptions on observable space, and projection time, which encodes irreversible ordering of coherence propagation across depth layers. Within this framework, quantum measurement is interpreted as a structural consequence of non-invertibility: observable outcomes correspond to equivalence classes of depth pathways, and collapse arises as information loss under projection rather than as an additional dynamical postulate.</p> <p>A probability weighting scheme is constructed from depth-dependent visibility factors. Under equilibrium conditions, this scheme yields a quadratic weighting structurally analogous to the Born rule, without assuming wavefunctions or Hilbert spaces as primitive elements. Interference phenomena are likewise described as arising from indistinguishability of depth pathways under projection, rather than from wave evolution.</p> <p>The paper is explicitly interpretive and foundational in scope. It does not attempt to reconstruct the full formalism of quantum mechanics or to make new experimental predictions. Instead, it provides a geometric and structural perspective on time, measurement, and probability, suitable for foundations-of-physics and philosophy-of-physics contexts.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_17944203 |
| institution | Zenodo |
| language | |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Time, Projection, and Measurement in the Kittim Projection Framework. Paper II Cabrera Vera, Kittim Lorena <p>This paper develops an interpretive framework for time, measurement, and probability within the Kittim Projection. Building on the geometric and thermodynamic foundations established in the companion foundational paper, the present work focuses on the structural consequences of a non-invertible projection from a depth-indexed coherence structure to observable three-dimensional space.</p> <p>A distinction is introduced between coordinate time, which parametrizes dynamical descriptions on observable space, and projection time, which encodes irreversible ordering of coherence propagation across depth layers. Within this framework, quantum measurement is interpreted as a structural consequence of non-invertibility: observable outcomes correspond to equivalence classes of depth pathways, and collapse arises as information loss under projection rather than as an additional dynamical postulate.</p> <p>A probability weighting scheme is constructed from depth-dependent visibility factors. Under equilibrium conditions, this scheme yields a quadratic weighting structurally analogous to the Born rule, without assuming wavefunctions or Hilbert spaces as primitive elements. Interference phenomena are likewise described as arising from indistinguishability of depth pathways under projection, rather than from wave evolution.</p> <p>The paper is explicitly interpretive and foundational in scope. It does not attempt to reconstruct the full formalism of quantum mechanics or to make new experimental predictions. Instead, it provides a geometric and structural perspective on time, measurement, and probability, suitable for foundations-of-physics and philosophy-of-physics contexts.</p> |
| title | Time, Projection, and Measurement in the Kittim Projection Framework. Paper II |
| url | https://doi.org/10.5281/zenodo.17944203 |