Paper T27: Statistical Modeling and Ensemble Behavior in Angular Coherence Measurement
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| Natura: | Recurso digital |
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2026
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| _version_ | 1866902092067635200 |
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| author | Sarnowski, Michael |
| author_facet | Sarnowski, Michael |
| contents | <p>This paper develops the statistical modeling layer of Holosphere Theory by showing how deterministic angular coherence structure gives rise to ensemble-level measurement statistics. Individual measurement trials follow a fixed geometric projection rule, while observable variability arises from controlled structural differences across repeated preparations rather than intrinsic randomness.</p> <p>The paper introduces probability distributions over effective projection signals, formalizes threshold-based dropout as a structural measurement effect, and derives practical functional forms for dropout rates, correlation decay, and variance inflation under decreasing coherence. Synthetic ensemble simulations are used to illustrate three diagnostic signatures: projection histograms across coherence regimes, dropout probability as a function of detection threshold, and correlation profiles exhibiting a cutoff near a coherence angle threshold.</p> <p>These diagnostics provide a concrete inference framework for estimating structural parameters such as coherence visibility, detection threshold, coherence angle cutoff, ensemble variance, and coherence rank directly from observable statistics. The results establish a reproducible interface between deterministic coherence models and experimental observables, clarifying how quantum-like statistics can emerge from structured variability without postulating intrinsic probabilistic collapse.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18533493 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Paper T27: Statistical Modeling and Ensemble Behavior in Angular Coherence Measurement Sarnowski, Michael Holosphere Theory; angular coherence; ensemble statistics; measurement dropout; threshold effects; correlation decay; coherence visibility; structural variability; projection models; reproducibility <p>This paper develops the statistical modeling layer of Holosphere Theory by showing how deterministic angular coherence structure gives rise to ensemble-level measurement statistics. Individual measurement trials follow a fixed geometric projection rule, while observable variability arises from controlled structural differences across repeated preparations rather than intrinsic randomness.</p> <p>The paper introduces probability distributions over effective projection signals, formalizes threshold-based dropout as a structural measurement effect, and derives practical functional forms for dropout rates, correlation decay, and variance inflation under decreasing coherence. Synthetic ensemble simulations are used to illustrate three diagnostic signatures: projection histograms across coherence regimes, dropout probability as a function of detection threshold, and correlation profiles exhibiting a cutoff near a coherence angle threshold.</p> <p>These diagnostics provide a concrete inference framework for estimating structural parameters such as coherence visibility, detection threshold, coherence angle cutoff, ensemble variance, and coherence rank directly from observable statistics. The results establish a reproducible interface between deterministic coherence models and experimental observables, clarifying how quantum-like statistics can emerge from structured variability without postulating intrinsic probabilistic collapse.</p> |
| title | Paper T27: Statistical Modeling and Ensemble Behavior in Angular Coherence Measurement |
| topic | Holosphere Theory; angular coherence; ensemble statistics; measurement dropout; threshold effects; correlation decay; coherence visibility; structural variability; projection models; reproducibility |
| url | https://doi.org/10.5281/zenodo.18533493 |