Saved in:
| Main Author: | |
|---|---|
| Format: | Recurso digital |
| Language: | |
| Published: |
Zenodo
2026
|
| Online Access: | https://doi.org/10.5281/zenodo.19345850 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866901227538743296 |
|---|---|
| author | Kapitanov, Fedor |
| author_facet | Kapitanov, Fedor |
| contents | <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> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19345850 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Spontaneous Vacuum Anisotropy in Discrete Spacetime Kapitanov, Fedor <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> |
| title | Spontaneous Vacuum Anisotropy in Discrete Spacetime |
| url | https://doi.org/10.5281/zenodo.19345850 |