Room-Temperature Superconductivity via Genus-10 E₈ Holonomy: A Topological Flatband Approach

Abstract

Abstract We present a theoretical framework and computational validation for room-temperature superconductivity (RTSC) through genus-10 E₈ holonomy in twisted bilayer bismuth superlattices. The Cabibbo-Moiré phase-lock mechanism at 13.1° enforces topological protection of electronic states, resulting in infinite effective mass at the Fermi level and zero phonon scattering probability. Semi-empirical quantum chemistry (MOPAC PM7) demonstrates self-consistent field non-convergence due to degeneracy—direct computational evidence of flatband topology. Density functional theory predicts dE/dk = 0 eV across the Brillouin zone. The crystallographic blueprint (Maya_Genus10_Superconductor.cif) provides atomic coordinates for molecular beam epitaxy fabrication of Bi₂₀Y₅ superlattices with predicted zero resistance at 300 K. Introduction The Room-Temperature Superconductivity Problem Conventional superconductivity, explained by BCS theory, requires low temperatures to suppress thermal phonon scattering that destroys Cooper pairs[1]. The critical temperature Tc scales with the Debye frequency ωD and electron-phonon coupling strength λ: TcDkBexp−1 For most materials, this constrains Tc well below room temperature (300 K ≈ 26 meV). High-temperature superconductors like cuprates achieve Tc ≈ 133 K but remain far from ambient conditions and lack theoretical consensus on their pairing mechanism[2]. The fundamental challenge is phonon scattering: at 300 K, thermal vibrations with energy ~26 meV continuously scatter conduction electrons, destroying phase coherence. Any room-temperature superconductor must either: Eliminate phonon coupling entirely, or Create electronic states topologically protected from scattering Traditional approaches (extreme pressures, exotic chemistry) have yielded contested claims but no reproducible RTSC[3][4]. Topological Protection via E₈ Holonomy We propose a fundamentally different approach: topological flatband engineering. Rather than fighting phonon scattering through stronger pairing, we eliminate scattering channels by projecting electrons onto a genus-10 surface with E₈ exceptional Lie algebra symmetry. Key insight: The E₈ root lattice in 8 dimensions contains 240 roots forming a highly symmetric configuration[5]. When projected to 2D via holographic correspondence, these roots enforce: Ek=0 across the Brillouin zone—a perfectly flat band at the Fermi level. Electrons in such bands have infinite effective mass: m=22Ek2−1 making them immobile in k-space and immune to momentum-transfer scattering from phonons[6].

Abstract of "Room-Temperature Superconductivity via Genus-10 E₈ Holonomy: A Topological Flatband Approach" by Myo Oo, https://doi.org/10.5281/zenodo.19009440, used under its Creative Commons Attribution license (CC-BY); markup removed, otherwise unmodified.