The Poole Manifold Derivation of the Emergent Wave-Packets
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2026
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| _version_ | 1866901898382016512 |
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| author | Rooke Poole |
| author_facet | Rooke Poole |
| contents | <p>To understand how fundamental particles emerge in the Poole Manifold, we examine the<br>complex-valued extension of the lattice. In this regime, the state of a voxel is represented<br>as a wave-function f (x, t) = R(x, t)eiθ(x,t), where R is the magnitude (kinetic mass density)<br>and θ is the phase. However, because the canonical B5-7/S5-9 update rule operates strictly<br>on the absolute magnitude of the local neighborhood, the phase θ is causally decoupled from<br>immediate spatial updates. A Standard Model-like particle in this manifold is therefore not<br>driven by continuous probability flux, but by discrete geometric asymmetry, with the phase<br>acting as an emergent historical record of momentum.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_20077718 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | The Poole Manifold Derivation of the Emergent Wave-Packets Rooke Poole <p>To understand how fundamental particles emerge in the Poole Manifold, we examine the<br>complex-valued extension of the lattice. In this regime, the state of a voxel is represented<br>as a wave-function f (x, t) = R(x, t)eiθ(x,t), where R is the magnitude (kinetic mass density)<br>and θ is the phase. However, because the canonical B5-7/S5-9 update rule operates strictly<br>on the absolute magnitude of the local neighborhood, the phase θ is causally decoupled from<br>immediate spatial updates. A Standard Model-like particle in this manifold is therefore not<br>driven by continuous probability flux, but by discrete geometric asymmetry, with the phase<br>acting as an emergent historical record of momentum.</p> |
| title | The Poole Manifold Derivation of the Emergent Wave-Packets |
| url | https://doi.org/10.5281/zenodo.20077718 |