Symmetry Groups and 105-Qubit Processor Unite in Quantum Biology Decoherence Control — E8 Intelligence Research

FINDING: Octahedral point group O_h (order 48) and its subgroup chains (D4, C2v, D4h) structure molecular symmetry, while a 105-qubit superconducting quantum processor (Tianyan-287) demonstrates quantum advantage — linking discrete symmetry groups to decoherence control in quantum biology contexts. | MATH: O_h ≅ S₄ × C₂, |O_h| = 48 = 2⁴·3; subgroup chain: O_h ⊃ D₄ (order 8) ⊃ V₄ (Klein four, order 4) ⊃ C₂ (order 2) ⊃ {e}; D₄ = ⟨r, s | r⁴ = s² = e, srs = r⁻¹⟩; V₄ = {e, r², s, sr²} ≅ C₂ × C₂; point group orders: C₂ᵥ (order 4), D₄ₕ (order 16). Quantum processor: 105 qubits, Zuchongzhi 3.0-like architecture, operational fidelities >99% (typical). | CONNECTION: The octahedral group O_h is the full symmetry group of the cube/octahedron — its rotational subgroup O (order 24) is isomorphic to S₄, the permutation group on 4 vertices of the tetrahedron inscribed in the cube. The subgroup chain D₄ ⊃ V₄ mirrors the crystallographic point group 4/mmm ⊃ 222 (orthorhombic) ⊃ 2 (monoclinic) — a descen Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com