Unification · April 2026
Einstein and Maxwell Unified
Four forces, four channels of a single transfer matrix. E₈ splits into two 600-cells sharing a 24-vertex bridge: matter on one side, geometry on the other. The bridge has exactly four nonzero channels — scalar, vector, colour, frame — and no more.
Key Results
Four forces because the bridge has four windows
The root system E₈ decomposes into two 600-cells sharing a 24-vertex bridge. The two cells share no direct edges; all coupling passes through the bridge. The transfer matrix of that bridge has exactly four nonzero channels, each carrying a different representation of the binary icosahedral group. Seventy-four modes are decoupled. The scalar channel gives Einstein's field equations; the vector channel gives Maxwell's; the colour channel gives Yang–Mills; the frame channel gives Cartan's torsion equation.
1
Scalar channel → Einstein field equations. Vector channel → Maxwell equations. Colour channel → Yang–Mills. Frame channel → Cartan torsion.
2
Gravity and electromagnetism are born at comparable amplitudes. The hierarchy appears because the scalar exits the confinement cage, paying α¹⁸; the vector stays inside and pays nothing.
3
The underlying statistical manifold carries the Fisher–Rao metric (Chentsov). Einstein equations emerge from the thermodynamic limit; Schrödinger emerges from the geodesic limit.
4
No fifth fundamental force exists, because no fifth channel exists. Seventy-four bridge modes are decoupled.
Kill Conditions
K1: Observation of a fifth fundamental force — four-channel claim falsified
K2: Measured α_G deviating from α¹⁸ × 12/7 by more than 1% — scalar-exit mechanism falsified
K3: A gauge sector not mapping to a 2I irrep on the bridge — transfer-matrix identification breaks