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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.18930186 |
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Table of Contents:
- <p>This pre-print, Paper 8 in the SORT Substrate series, extends the Isotropic Vector Matrix (IVM) framework to its most extreme gravitational and topological limits. It mathematically abolishes the non-physical singularities of General Relativity and the ad-hoc postulates of relativistic quantum mechanics, replacing them with the strict structural mechanics of the discrete 3D vacuum.</p> <p>The paper derives four landmark results entirely from first principles:</p> <ol> <li> <p><strong>The Dirac Equation as Lattice Topology:</strong> Relativistic quantum spin is stripped of its abstract mysticism. The Dirac equation is derived directly from the spinor-valued torsional field on the IVM cuboctahedral lattice. The two chirality sectors (winding directions <span>$+w$</span> and <span>$-w$</span>) of an IVM phase loop defect are identified exactly as the right- and left-handed Weyl spinors. Mass emerges not as a kinematic parameter, but as the literal inter-chirality coupling strength of the substrate. Lorentz invariance is not postulated; it is a downstream consequence of this lattice geometry.</p> </li> <li> <p><strong>The Black Hole Interior (The Fracture Core):</strong> The Schwarzschild metric is re-derived as the macroscopic torsional stress field of a massive IVM defect. The event horizon is formally identified as the Shearline surface, where structural stress reaches the ultimate tensile strength of the vacuum (<span>$\sigma = \Upsilon_{vac}$</span>). The interior is a region of Strand inversion, where spatial torsional coherence collapses into a maximally-packed crystalline phase.</p> </li> <li> <p><strong>Singularity Resolution:</strong> The coordinate singularity at <span>$r=0$</span> is strictly forbidden by the discrete Planck-scale lattice integer floor. The core of a black hole is not a dimensionless point of infinite density, but a maximally-wound, structurally-saturated topological defect cluster.</p> </li> <li> <p><strong>Hawking Radiation & ER Bridges:</strong> Hawking radiation is re-derived without invoking quantum "virtual particles," emerging instead as real classical phonon emission (acoustic stress relief) at the phase boundary. Furthermore, Einstein-Rosen bridges (wormholes) are modeled as exact torsional topological tethers within the contiguous solid-state substrate.</p> </li> </ol> <p>This manuscript completes the Hydrotorsional Dynamics (HTD) unification program. It establishes that from the lowest-energy quantum spin state to the highest-energy gravitational collapse, the universe executes only one fundamental operation: integer-valued constraint satisfaction on a discrete geometry.</p>