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Study verifies Standard-Model vacuum properties in Type IIB string theory, suggesting viable theoretical framework.
v2 (May 2026, typo correction): the locked Kähler moduli vector printed in v1 §3 Result was an outdated draft value. The verification bundle's inputs.json always carried the correct Mori-cone-interior value t* ≈ [6.72, 5.87, 14.41, 19.73, 7.58, 15.92, 3.24, 11.81] produced by the Mori-cone-constrained SLSQP run; v2 paper text now matches the bundle. All numerical claims (gauge log-dev 0.075, V_star 1.9×10⁻¹⁷, gradient norm 4.2×10⁻⁶, Hessian eigenvalue 0.048, Bayesian log10(BF) 28.34, Merkle root, tarball SHA-256) are unchanged from v1. Bundle and OTS proof are byte-identical to v1. --- We present POLYID=724, GEOMN=2, TRIANGN=1 from Altman's toric Calabi-Yau database as a candidate realistic Standard-Model vacuum in Type IIB orientifold string theory with intersecting D7-branes on a Madrid (3,2,1,1) quiver. The threefold has Hodge numbers (h^1,1, h^2,1) = (4, 70), Euler characteristic chi = -132, and admits an orientifold involution sigma: D2 <-> D3, D6 <-> D7 with volume-form parity -1 and a smooth fixed locus. For a specific integer spin-c flux configuration we verify Standard-Model chirality (Q_L, u_R, d_R, L, e_R) = (3,3,3,3,3) by three independent algorithms, exactly massless hypercharge V_Y = 0 at integer precision, three nonvanishing tree-level Yukawa triangles with topological pattern kappa = (1, -4, -4) reproducing log(m_t/m_b) at the measured value, and tree-level gauge-coupling ratios matching observed Standard Model at M_Z within log-deviation 0.075. K-theory Sp-probe anomaly cancellation passes with zero failures across all valid sigma-invariant probes, bare and Whitney-class. Swampland consistency is established (no global symmetries, WGC, Distance Conjecture). An eighteen-test reproducible consistency battery, organised into ten stars with pre-registered thresholds and positive/negative controls, is passed in full. Bayesian log10(BF) = 28.34, Jeffreys DECISIVE for H1. A standalone numpy+sympy verification script reproduces all 18 tests offline; the bundle SHA-256 is timestamped via OpenTimestamps and Bitcoin-anchored. An interactive 3D landscape visualization is included. This is a candidate, not an experimentally-confirmed result. Open questions (per-generation disk-instanton Yukawa masses, full KKLT moduli stabilization with complex-structure moduli, exhaustive scans at higher h^1,1) are discussed. Independent reproduction is invited.
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Steven Callioux (2026) studied this question.
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