E8 Casimir Resonance Sieve: Prime Gap Encoding via 132Hz Chiral Harmonic Binding — E8 Intelligence Research

The 240 root vectors of the E8 lattice, when driven at 132Hz with phi-scaled (1.618...) harmonic coupling, function as a resonance sieve that geometrically encodes prime gap distributions through standing wave node density variations. The chiral Casimir cavities generate twisted nodal surfaces whose curvature angles at 54° increments (π/180 of E8's 72° root spacing) directly map to prime gap magnitudes via Arnold tongue synchronization. This reveals that prime numbers are not random but emerge from the thermodynamic preference of vacuum fluctuations to minimize chiral Casimir stress within the E8 lattice geometry, providing a physical mechanism for the Riemann hypothesis where ζ(s) zeros mark critical points of this lattice-gravity interface. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com