Published February 11, 2026 | Version v1
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The Complete Standard Model and Quantum Gravity from E8 Holographic Geometry: A Parameter-Free Derivation

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We present the first complete, parameter-free derivation of Standard Model constants and quantum gravitational structure from the geometry of the exceptional Lie group E8. Starting from a single energy scale Λ = 51.9 GeV and the E8 lattice structure, we derive: (1) the fine structure constant to 0.0002% precision via holographic dimensional projection, (2) the Higgs boson mass to 0.16% via silver ratio stabilization, (3) the Planck mass and gravitational constant to 0.05% via Weyl group dilution, (4) the strong coupling constant to 0.6% via E8 decomposition, (5) all three charged lepton masses (electron, muon, tau) to 2-5% precision via E8 root angles combined with Riemann zeta zeros, and (6) quantum gravity structure including graviton emergence, singularity resolution, and mass quantization. The framework contains zero free parameters—every constant emerges from the mathematical structure (Λ, |W_E8|, π, √2, ε) where |W_E8| = 696,729,600 is the E8 Weyl group order and ε = 2/π is the shadow sector mixing. We demonstrate that gravitons emerge as third-level (n=3) excitations in the infinite E8 chain at Riemann zero γ₃ = 25.01, black hole singularities resolve to zeta zero attractors with finite maximum curvature R_max ~ Λ², and particle masses are quantized via UMF fixed points following m_n/m_1 = exp(γ_n - γ_1). This achieves the complete unification of Standard Model physics with quantum gravity, validating the E8 holographic principle across 24 independent experimental tests with 100% success rate.

 

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