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| Médium: | Recurso digital |
| Jazyk: | angličtina |
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Zenodo
2025
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| Témata: | |
| On-line přístup: | https://doi.org/10.5281/zenodo.15632507 |
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- <div> <div dir="auto"> <div> <div> <div> <div> <div> <div dir="auto"> <div> <div> <p><strong>v3.0 Release Description</strong></p> <p>This major update (v3.0) introduces several foundational advances to the Blacklight–Topologion (BT) framework:</p> <ul> <li> <p><strong>Blacklight Field Formation</strong><br>Added a detailed dynamical model for the emergence of the Blacklight field (BF) from a “sea” of disordered Topologion excitations. We derive the critical symmetry-breaking conditions, the effective Lagrangian coupling, and demonstrate the gyroscope-like stability of the resulting BF ground state via holonomy invariants.</p> </li> <li> <p><strong>Topological Mode Group & Photon Identity</strong><br>Formalized the finite set of fundamental Topologion modes as a mathematical group <span><span>GG</span><span><span><span>G</span></span></span></span>, with the photon identified as the identity element. This structure underpins all particle fusion rules, inverse-mode annihilation (<span><span>ωi⋅ωi−1=ω0\omega_i\cdot\omega_i^{-1}=\omega_0</span><span><span><span><span>ω</span><span><span><span><span><span><span>i</span></span></span><span></span></span></span></span></span><span>⋅</span></span><span><span><span>ω</span><span><span><span><span><span><span>i</span></span><span><span>−1</span></span></span><span></span></span></span></span></span><span>=</span></span><span><span><span>ω</span><span><span><span><span><span><span>0</span></span></span><span></span></span></span></span></span></span></span></span>), and encodes neutrinos and prospective hidden modes within a unified algebraic framework.</p> </li> <li> <p><strong>Semi-Knotted Neutrino States</strong><br>Introduced the concept of semi-knotted Topologion loops to explain neutrino near-masslessness and weak coupling. We quantify how topological imperfection <span><span>δq\delta q</span><span><span><span>δ</span><span>q</span></span></span></span> suppresses interaction matrix elements and leads to exponentially prolonged lifetimes.</p> </li> <li> <p><strong>E- vs T-Type Singularity Classification</strong><br>Proposed a novel black-hole endpoint taxonomy in which energy conservation and topological-charge conservation cannot both hold at the singularity. “E-Type” singularities preserve energy at the cost of topology, while “T-Type” preserve topology into a pre-universe phase, suggesting a cyclic cosmology.</p> </li> <li> <p><strong>Redefining Gravity Without the Equivalence Principle</strong><br>Developed a topological reinterpretation of gravity as emergent from BF knot dynamics, decoupling it from the Equivalence Principle. We map internal knot frequency and charge into spacetime metric perturbations, recovering static attraction, gravitational wave emission, and geodesic motion from first principles.</p> </li> <li> <p><strong>Extended-Object Duality with String Theory</strong><br>Added a discussion of parallels between Topologion worldloops and string worldsheets, defect–brane correspondences, and duality structures. This suggests pathways for embedding BT theory within—or alongside—higher-dimensional string frameworks.</p> </li> </ul> <p>Together, these enhancements deepen the mathematical rigor, broaden the phenomenological predictions, and strengthen the cosmological implications of the BT theory. v3.0 brings us closer to a unified description of energy, phase information, and geometry in fundamental physics.</p> </div> </div> </div> </div> <div> <div> </div> </div> <div> <div> </div> </div> </div> <div> <div> </div> </div> </div> </div> </div> <div> </div> </div> </div> <div> </div>