Paper CLXIV: One-Octonion Superconductivity as Coherent Brane-Bulk Transit: Magic-Angle Twisted Trilayer Graphene Nematicity, Strange Metallicity, and the Paradox of
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Zhang et al. (2026, Nature Physics, DOI: 10.1038/s41567-026-03202-w) report an angular interplay among nematicity, superconductivity (SC), and strange metallicity in magic-angle twisted trilayer graphene (MATTG). The central experimental paradox: the preferred superconducting transport direction aligns with the metallic axis of maximum resistivity. Standard BCS theory has no explanation for this alignment. The One-Octonion Brane-Bulk Framework (Paper XLIV, Jagadeesan 2026), which established superconductivity as the macroscopic T2 coherence state of the brane, provides a natural resolution. Superconductivity arises when electrons form phase-locked pairs that transit coherently through the interference-free AdS₅ bulk, returning to the brane as standing waves — the Cooper pairs. The maximum- resistivity direction is precisely the direction of maximum brane-to-bulk coupling in the metallic state: electrons scatter most strongly into the bulk at these angles, producing high resistivity through incoherent individual transits. At T < T_c, this same directional bulk coupling becomes coherent, supporting the SC condensate. Strange metallicity (T-linear resistivity) is incoherent bulk transit at Planckian rate: τ_scatter = ħ/kT, already established in Papers I, XII, and XXV. Nematicity (C₆ → C₂ rotational symmetry breaking) is the selection of the Le₇ preferred bulk-entry axis by the G₂ = Aut( ) automorphism acting on the moiré- 𝕀 reconstructed Brillouin zone. The magic angle ~1.1° corresponds to the moiré resonance condition: d_moiré × k_brane ≈ 2π, producing a flat band at exactly the scale where the brane-bulk coupling becomes macroscopic. The coherence length ξ ≈ d_moiré = 12.8 nm at the magic angle, consistent with the observed T_c ≈ 1–3 K. Pauli limit violation (SC survives B > B_Pauli) follows because spin is a brane-surface label: in-plane Zeeman fields do not affect the bulk transit coherence. Four predictions are stated with corrected precision after full math verification. The nematic-angle-equals-G₂-twist-angle claim (τ = 67.79°) is explicitly retracted as it conflates a 3D bulk geometry angle with a 2D transport measurement.
Part of the One-Octonion Brane-Bulk Framework series. Anchor DOI: 10.5281/zenodo.19120873. Community: one-octonion-brane-bulk. Author: Bharathi Dasan Jagadeesan, M.D., University of Minnesota. ORCID: 0000-0002-1143-941X.
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