Standard Model Masses, Mixing Phases, and Cosmological Constant Unified by p2 − p = 1

The Energy–Space–Displacement (ESD) framework, anchored by the single algebraic closurep2 − p = 1, connects scales from individual fermion masses to the cosmological constant withinone closure-constrained structure. The local covariant sector is organized by the generatingfunctional ZESD = R Dg DD DA e−SESD , whose continuous closure is fixed by φ2 = φ + 1 andwhose physical vacuum is fixed by the discrete E-channel value b = φ6 − 2, the Fibonacci-ring value singled out by the ESD channel-gauge closure architecture. Its classical limit yieldsthree unified field equations (Einstein gravity, D-field screening, SU(3)c ×SU(2)L ×U(1)Y gaugedynamics) with zero continuously adjustable parameters in the local particle/gauge sector;1 itsreduced Gaussian functional integral on the Fibonacci near-alignment chain,