De Broglie Lattice Commensurability Hypothesis for High-Temperature Superconductivity in Cuprate Materials: Thermal Electron Wavelength Resonance in CuO2 Planes — Four System Validation, Pressure Test, and Room Temperature Extension

Abstract

This paper proposes a hypothesis for high-temperature superconductivity in cuprate materials based on De Broglie wavelength commensurability between thermally promoted conduction electrons and the CuO2 plane lattice spacing. The central proposition is that superconductivity onset occurs when electrons thermally promoted above the Fermi level achieve a De Broglie wavelength spanning an integer number of lattice spacings — producing constructive wave interference that eliminates scattering. Zero scattering equals zero resistance. One non-trivial consistency with independent experimental data is demonstrated: the effective mass required for perfect commensurability in YBCO (1.944 m0) falls within the independently published quantum oscillation measurement of 1.9 +/- 0.1 m0. The hypothesis is tested against four cuprate systems — YBCO (93K), BSCCO (110K), TBCCO (127K), and Hg-1223 under 22 GPa pressure (153K) — all producing commensurability ratios within 0.31 of a whole integer. Two falsifiable experimental predictions are made: BSCCO thermally promoted electron effective mass: 1.506 m0 TBCCO thermally promoted electron effective mass: 1.545 m0 A speculative extension identifies Hg-1223 as a candidate base material for room temperature superconductor engineering, requiring approximately 2% lattice compression toward a target of 3.745 Angstroms. All claims are clearly labeled throughout as established physics, hypothesis, confirmed consistency, or experimental prediction. 19 Wolfram Alpha-verified equations. 8 pages. Released freely to the world. No patent sought. ORCID: 0009-0001-8455-1453 Related work: Zero-Latency Quantum Communication Protocol series, same author, Zenodo 2026.

Abstract of "De Broglie Lattice Commensurability Hypothesis for High-Temperature Superconductivity in Cuprate Materials: Thermal Electron Wavelength Resonance in CuO2 Planes — Four System Validation, Pressure Test, and Room Temperature Extension" by TheZeroLatencyGuy, https://doi.org/10.5281/zenodo.19429432, used under its Creative Commons Attribution license (CC-BY); markup removed, otherwise unmodified.