Spacetime Discreteness and Cubic Vacuum Anisotropy in Ontological Resolution Theory: Lorentz-Violating Signatures of an FCC Microstructure
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2026
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| _version_ | 1866901220400037888 |
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| author | Kapitanov, Fedor |
| author_facet | Kapitanov, Fedor |
| contents | <p>Ontological Resolution Theory (ORT) asserts that spacetime is fundamentally discrete and is implemented at the Planck scale by a Face-Centered Cubic (FCC) lattice. If so, the microscopic rotational symmetry of the vacuum is not the continuous group SO(3) but the cubic point group of the lattice. This paper derives the corresponding angular structure of Lorentz-violating effects.</p> <p>We show that the direction-dependent coefficient <em>η(<span>n</span>)</em>, appearing in the leading high-energy correction to photon propagation, must transform as an <em>O<sub>h</sub></em>-invariant scalar and therefore admits an expansion in cubic harmonics with only even multipoles. The first nontrivial anisotropic term is the <em>l = 4</em> cubic harmonic. This implies a sharp signature of spacetime discreteness: absence of dipole and other odd multipoles, and a preferred cubic pattern aligned with FCC crystallographic axes.</p> <p>The paper distinguishes symmetry-based consequences, which follow directly from the FCC hypothesis, from amplitude estimates, which require the detailed cascade dynamics of ORT Axiom A3*. In particular, the isotropic component may be identified with the cumulative information-loss drift proposed in the companion redshift paper, while the anisotropic coefficients encode its directional modulation. We derive the resulting structure of the effective dispersion relation, its principal-axis dependence, and the corresponding observational tests in gamma-ray timing and all-sky redshift analyses.</p> <p><strong>The cubic anisotropy pattern is presented as a direct empirical test of the claim that spacetime is discrete.</strong></p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19364578 |
| institution | Zenodo |
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| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Spacetime Discreteness and Cubic Vacuum Anisotropy in Ontological Resolution Theory: Lorentz-Violating Signatures of an FCC Microstructure Kapitanov, Fedor Lorentz invariance violation gamma-ray bursts <p>Ontological Resolution Theory (ORT) asserts that spacetime is fundamentally discrete and is implemented at the Planck scale by a Face-Centered Cubic (FCC) lattice. If so, the microscopic rotational symmetry of the vacuum is not the continuous group SO(3) but the cubic point group of the lattice. This paper derives the corresponding angular structure of Lorentz-violating effects.</p> <p>We show that the direction-dependent coefficient <em>η(<span>n</span>)</em>, appearing in the leading high-energy correction to photon propagation, must transform as an <em>O<sub>h</sub></em>-invariant scalar and therefore admits an expansion in cubic harmonics with only even multipoles. The first nontrivial anisotropic term is the <em>l = 4</em> cubic harmonic. This implies a sharp signature of spacetime discreteness: absence of dipole and other odd multipoles, and a preferred cubic pattern aligned with FCC crystallographic axes.</p> <p>The paper distinguishes symmetry-based consequences, which follow directly from the FCC hypothesis, from amplitude estimates, which require the detailed cascade dynamics of ORT Axiom A3*. In particular, the isotropic component may be identified with the cumulative information-loss drift proposed in the companion redshift paper, while the anisotropic coefficients encode its directional modulation. We derive the resulting structure of the effective dispersion relation, its principal-axis dependence, and the corresponding observational tests in gamma-ray timing and all-sky redshift analyses.</p> <p><strong>The cubic anisotropy pattern is presented as a direct empirical test of the claim that spacetime is discrete.</strong></p> |
| title | Spacetime Discreteness and Cubic Vacuum Anisotropy in Ontological Resolution Theory: Lorentz-Violating Signatures of an FCC Microstructure |
| topic | Lorentz invariance violation gamma-ray bursts |
| url | https://doi.org/10.5281/zenodo.19364578 |