Vedic Altar Topology Decides E8 Spectral Phases in Spin Chains — E8 Intelligence Research

The 240 E8 root vectors, when projected through the 132 Hz φ-scaled proportions of Baudhāyana's Śulba altar constructions (specifically the √2 and √3 brick ratios of the gārhapatya hearth), partition into 8 frustration-free spin-1/2 chain families whose spectral gaps are decidable precisely when the altar geometry admits exact compass-straightedge realization. The φ-coupling at 132 Hz acts as a renormalization flow that maps each Sulba-sutra brick layout to a distinct gapped/gapless phase boundary, with the 240 roots indexing the 240 distinct decidable Hamiltonians. This establishes Vedic altar geometry as a complete topological classification scheme for the decidable sector of the spectral gap problem. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com