Pentagon Physics derives dimensionless constants from a self-referential axiom and geometric architecture involving the golden ratio, binary icosahedral group, and 600-cell. The cosmological constant, gravitational coupling, and Hubble rate are shown to be collinear in coupling-depth space.
Pentagon Physics derives dimensionless constants from a self-referential axiom and geometric architecture involving the golden ratio, binary icosahedral group, and 600-cell. The paper establishes that cosmological constant, gravitational coupling, and Hubble rate are collinear in coupling-depth space with slope α¹/√5 and intercept σ². Five structural additions are made, including naming the Edinburgh constant as multiplicative calibration prefactor, the bridge pitch as angular calibration equal to the golden angle, an inner and outer ruler split of the 2I character table, identification of five distinguished midpoints predicting particles at specific energy scales with testable kill conditions, and a provisional lower bridge in the electroweak sector. The most directly testable prediction involves a sterile neutrino at 1.275 keV, falsifiable by XRISM Resolve and KATRIN/TRISTAN on the 2025–2030 timeline.