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| Hovedforfatter: | |
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| Format: | Recurso digital |
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| Udgivet: |
Zenodo
2026
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| Online adgang: | https://doi.org/10.5281/zenodo.19345850 |
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Indholdsfortegnelse:
- <p>We derive predictions for Lorentz invariance violation from the discrete spacetime structure of Ontological Resolution Theory. The Face-Centered Cubic lattice underlying the theory possesses the crystallographic point group O<sub>h</sub> (order 48) rather than the continuous rotation group SO(3). This symmetry reduction implies that Lorentz violation at the Planck scale is anisotropic, with the anisotropy coefficient η(n̂) transforming under O<sub>h</sub>.</p> <p>We show that η(n̂) admits an expansion in cubic harmonics with only even multipoles (l = 0, 4, 6, …), the dominant anisotropic contribution being the hexadecapole (l = 4). This signature distinguishes ORT from isotropic Lorentz violation models and from other anisotropic theories with different symmetry groups.</p> <p>We provide order-of-magnitude estimates for observable time delays in gamma-ray burst photons and outline falsifiability conditions.</p> <p><strong>Key Results:</strong></p> <ul> <li>Symmetry reduction: SO(3) → O<sub>h</sub> at Planck scale</li> <li>Modified dispersion: E² = p²c² + m²c⁴ + η(n̂) p⁴c⁴/E<sub>P</sub>²</li> <li>Cubic harmonic expansion with forbidden odd multipoles</li> <li>Predicted time delay ~70 ms for 10 TeV photons from GRB at z ~ 1</li> <li>Falsifiable: detection of l = 1, 3, 5 would rule out FCC lattice</li> </ul> <p><strong>Paper VSA — Ontological Resolution Theory</strong></p>