Room-Temperature Superconductivity as Recursive Phase-Locking: Eliminating Electrical Resistance via p-adic Resonance in Quasicrystals
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2025
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| author | @pm14552 |
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| contents | <p>The emergence of superconductivity in Twisted Bilayer Graphene (TBG) at the "Magic Angle" <span><span><span><span><span>θ</span><span>≈</span></span><span><span>1.</span><span>1<span><span><span><span><span><span><span>∘</span></span></span></span></span></span></span></span></span></span></span></span> is conventionally attributed to the flattening of electronic bands. In this work, we provide a fundamental topological derivation of this angle based on the <strong>Static-Dynamic Recursive Information Space (SDRIS)</strong> framework. We model electrical resistance not as particle scattering, but as the commutator norm of the recursive operators acting on the charge carrier and the lattice background. We prove that superconductivity arises when the Moiré superlattice period becomes commensurable with the underlying p-adic metric of the carbon information graph. Specifically, we derive the angle analytically from the resonance condition of the second recursive shell (<span><span><span><span><span>k</span><span>=</span></span><span><span>2</span></span></span></span></span>) in a <span><span><span><span><span>p</span><span>=</span></span><span><span>3</span></span></span></span></span> (hexagonal) ultrametric space, yielding <span><span><span><span><span>θ</span><span>≈</span></span><span><span>1.0</span><span>8<span><span><span><span><span><span><span>∘</span></span></span></span></span></span></span></span><span>−</span></span><span><span>1.1</span><span>2<span><span><span><span><span><span><span>∘</span></span></span></span></span></span></span></span></span></span></span></span>. This suggests that high-<span><span><span><span><span><span>T</span><span><span><span><span><span><span><span>c</span></span></span></span><span></span></span></span></span></span></span></span></span></span> superconductivity can be engineered in non-Archimedean quasicrystals by tuning geometric parameters to satisfy recursive phase-locking conditions.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_17764992 |
| institution | Zenodo |
| language | |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Room-Temperature Superconductivity as Recursive Phase-Locking: Eliminating Electrical Resistance via p-adic Resonance in Quasicrystals @pm14552 SDRIS Room-Temperature Superconductivity Recursive Phase-Locking p-adic Resonance Quasicrystals Electrical Resistance Metric Impedance Quantum Synchronization Cooper Pairs Alternative Topological Protection Zero Resistance State LK-99 Theory <p>The emergence of superconductivity in Twisted Bilayer Graphene (TBG) at the "Magic Angle" <span><span><span><span><span>θ</span><span>≈</span></span><span><span>1.</span><span>1<span><span><span><span><span><span><span>∘</span></span></span></span></span></span></span></span></span></span></span></span> is conventionally attributed to the flattening of electronic bands. In this work, we provide a fundamental topological derivation of this angle based on the <strong>Static-Dynamic Recursive Information Space (SDRIS)</strong> framework. We model electrical resistance not as particle scattering, but as the commutator norm of the recursive operators acting on the charge carrier and the lattice background. We prove that superconductivity arises when the Moiré superlattice period becomes commensurable with the underlying p-adic metric of the carbon information graph. Specifically, we derive the angle analytically from the resonance condition of the second recursive shell (<span><span><span><span><span>k</span><span>=</span></span><span><span>2</span></span></span></span></span>) in a <span><span><span><span><span>p</span><span>=</span></span><span><span>3</span></span></span></span></span> (hexagonal) ultrametric space, yielding <span><span><span><span><span>θ</span><span>≈</span></span><span><span>1.0</span><span>8<span><span><span><span><span><span><span>∘</span></span></span></span></span></span></span></span><span>−</span></span><span><span>1.1</span><span>2<span><span><span><span><span><span><span>∘</span></span></span></span></span></span></span></span></span></span></span></span>. This suggests that high-<span><span><span><span><span><span>T</span><span><span><span><span><span><span><span>c</span></span></span></span><span></span></span></span></span></span></span></span></span></span> superconductivity can be engineered in non-Archimedean quasicrystals by tuning geometric parameters to satisfy recursive phase-locking conditions.</p> |
| title | Room-Temperature Superconductivity as Recursive Phase-Locking: Eliminating Electrical Resistance via p-adic Resonance in Quasicrystals |
| topic | SDRIS Room-Temperature Superconductivity Recursive Phase-Locking p-adic Resonance Quasicrystals Electrical Resistance Metric Impedance Quantum Synchronization Cooper Pairs Alternative Topological Protection Zero Resistance State LK-99 Theory |
| url | https://doi.org/10.5281/zenodo.17764992 |