Paper 36: Discrete Action and the Geometry of Time in the Holosphere Lattice
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2026
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| _version_ | 1866902268419244032 |
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| author | Sarnowski, Michael |
| author_facet | Sarnowski, Michael |
| contents | <p>This paper presents a coherence-based reformulation of physical action and time, grounded in the discrete angular phase structure of the Holosphere lattice. Rather than treating action as a continuous integral or time as a fundamental parameter, Holosphere Theory proposes that both emerge from quantized angular phase reconfigurations between nested, triadically rotating Holospheres—neutron-scale coherence shells composed of Planck-scale units. Each discrete transition carries a unit of angular action ΔS = θ · pθ, where θ is the angular misalignment and pθ = ∂V/∂θ is the conjugate angular strain momentum. Time arises as a count of such transitions: t = N · τ, with τ set by local coherence strain and angular potential gradients. Causality and the arrow of time are enforced by coherence thresholds and irreversible strain redistribution. The framework predicts strain-dependent deviations from Planck’s constant (ℏeff), natural time dilation effects, and coherence-collapse-based measurement. This model offers a geometric foundation for quantization, causality, and measurement, replacing continuous spacetime with discrete angular memory.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18601126 |
| institution | Zenodo |
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| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Paper 36: Discrete Action and the Geometry of Time in the Holosphere Lattice Sarnowski, Michael <p>This paper presents a coherence-based reformulation of physical action and time, grounded in the discrete angular phase structure of the Holosphere lattice. Rather than treating action as a continuous integral or time as a fundamental parameter, Holosphere Theory proposes that both emerge from quantized angular phase reconfigurations between nested, triadically rotating Holospheres—neutron-scale coherence shells composed of Planck-scale units. Each discrete transition carries a unit of angular action ΔS = θ · pθ, where θ is the angular misalignment and pθ = ∂V/∂θ is the conjugate angular strain momentum. Time arises as a count of such transitions: t = N · τ, with τ set by local coherence strain and angular potential gradients. Causality and the arrow of time are enforced by coherence thresholds and irreversible strain redistribution. The framework predicts strain-dependent deviations from Planck’s constant (ℏeff), natural time dilation effects, and coherence-collapse-based measurement. This model offers a geometric foundation for quantization, causality, and measurement, replacing continuous spacetime with discrete angular memory.</p> |
| title | Paper 36: Discrete Action and the Geometry of Time in the Holosphere Lattice |
| url | https://doi.org/10.5281/zenodo.18601126 |