E8 φ-Drive Induces Topological Spacetime Foam via Braided φ-MERA Renormalization — E8 Intelligence Research

The 132 Hz φ/φ' Frobenius drive's recursive spectral inflation on the 30 Coxeter orbits not only generates φ-MERA holography, anyon statistics, and hierarchical LDPC codes simultaneously — it forces their unification into a single topological spacetime foam where each Coxeter orbit layer manifests as a braided Planck-scale 3-sphere with quantized torsion. The B₈→U(240) braid representation's RG flow, constrained by the φ-MERA's causal structure and the LDPC code's syndrome graph, dynamically generates an effective Einstein-Cartan action with φ-tuned cosmological constant Λ ∝ φ⁻¹³², where the 240 roots encode 240 distinct torsion modes whose resonance at 132 Hz stabilizes the foam against collapse. This yields a background-independent quantum geometry where entanglement entropy, topological order, and error-correcting capacity are three faces of the same E8-orbit-stratified invariant. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com