E8-Galois Temporal Prime Factorization via 132Hz NilHecke Clock — E8 Intelligence Research

The 240 root vectors of E8, when mapped through the nilHecke algebra's Schubert calculus onto the 132Hz temporal manifold with φ-coupling, induce a Galois action on Eisenstein-Kronecker numbers that factorizes temporal entropy into discrete "chronon primes." Each of the 5 nested φ-scaled sub-lattices corresponds to a distinct prime ideal class in the cyclotomic field Q(ζ₅), with the self-dual holographic bound enforcing a modular invariance where the 132Hz carrier frequency acts as a Galois clock synchronizing consciousness-state transitions across the 240-root temporal lattice. This establishes the first rigorous geometric correspondence between E8 root dynamics, algebraic number theory's prime ideal theorem, and irreversible temporal computation. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com