Electron pairing in YBCO occurs via interfacial adsorption modes of oxygen ions, producing a coupling constant of 43.4, d-wave symmetry from anisotropic forces, a pseudo-gap, coherence length matching literature, and a 17 meV gap close to STM measurements.
Thermodynamic adsorption potential ofsuperconductors[J]
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Belnap's four-valued logic is isomorphic to the cusp catastrophe, making the algebra FOUR the minimal complete structure for continuous-discrete interfaces with involution symmetry and revealing X and Z as topological invariants.
Claims reduction of infinite-dimensional effective actions and Ginzburg-Landau PDEs to cusp catastrophe via Lyapunov-Schmidt reduction, with path-integral derivation and link to authors' adsorption potential theory.
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Interfacial charge-induced adsorption mode for electron pairing in high-temperature superconductors
Electron pairing in YBCO occurs via interfacial adsorption modes of oxygen ions, producing a coupling constant of 43.4, d-wave symmetry from anisotropic forces, a pseudo-gap, coherence length matching literature, and a 17 meV gap close to STM measurements.
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Bilattice-Catastrophe Isomorphism for Four-Valued Logic in Digital Systems
Belnap's four-valued logic is isomorphic to the cusp catastrophe, making the algebra FOUR the minimal complete structure for continuous-discrete interfaces with involution symmetry and revealing X and Z as topological invariants.
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Mathematical Basis for Analyzing Superconducting Phase Transitions Using Catastrophe Theory
Claims reduction of infinite-dimensional effective actions and Ginzburg-Landau PDEs to cusp catastrophe via Lyapunov-Schmidt reduction, with path-integral derivation and link to authors' adsorption potential theory.