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| Format: | Recurso digital |
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Zenodo
2026
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| Online Access: | https://doi.org/10.5281/zenodo.19157404 |
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Table of Contents:
- <p><strong>Abstract</strong></p> <p>We propose that spacetime itself is a quasicrystal — an ordered but non-periodic structure — emerging from the phase-synchronized network of topological knots in the primordial mass-torsion field \(\hat{M}_\mu\) within the Generalized Mass as Twisted Time (G-MaTT) framework. Unlike periodic crystals, quasicrystals exhibit long-range order without translational symmetry, often displaying “forbidden” rotational symmetries (e.g., 5-fold). In G-MaTT, spacetime inherits its structure from the exceptional Lie group G₂, whose root system and octonionic structure project naturally onto the icosahedral group (via known embeddings in E₈). The Twist-Untwist Threshold (TUT), \(|\Delta\phi| < \sqrt{\alpha}\) (\(\alpha^{-1} \approx 137.036\)), acts as a physical “cut-and-project” mechanism: only phase configurations below this threshold contribute to coherent spacetime geometry. This explains why spacetime appears smooth at macroscopic scales yet discrete at the Planck scale, and predicts observable signatures: tentative icosahedral anomalies in the cosmic microwave background (CMB), intriguing numerical coincidences in particle masses, and Bragg-like diffraction in high-energy scattering. G-MaTT thus unifies quantum gravity, condensed matter physics, and cosmology under one geometric principle: spacetime is not a manifold — it is a torsional quasicrystal.</p>