Entanglement-Driven Cosmological Expansion: Quantum Foundations of Dark Energy and the Discrete Hubble Spectrum -- Paper 2

We present a quantum mechanical formulation of the Entanglement-Driven Cosmological Expansion (EDCE) framework, in which dark energy and cosmic acceleration emerge from the saturation dynamics of quantum entanglement on holographic boundaries. The fundamental unit is a triangular Planck-scale cell comprising three 2D de Sitter surfaces (P,B1,B2), encoding exactly four qubits per cell via the Bekenstein–Hawking bound. The unobservability of the pre-temporal node P implies a local SU(nP ) gauge invariance: for the four canonical qubit partitions (3-1,2-2,1-3,0-4) this yields gauge algebras su(3), su(2)⊕u(1), u(1) and the trivial algebra, reproducing SU(3) ×SU(2) ×U(1) plus gravity without fine-tuned parameters. A cosmic saturation parameter ξpat measures the fraction of information capacity transferred from P to cosmological output B2. An evolution equation for ξpat links microscopic decoherence at the B1 interface to macroscopic expansion via a Finsler–Ricci curvature scalar R(ξpat) satisfying R(ξpat) = 12H2(ξpat) in the homogeneous limit. Stability analysis indicates a depopulation sequence 3-1 →2-2 →1-3 →0-4, valid throughout the physically realised saturation range (ξpat ≈0.48– 0.70), driving the universe toward a late-time phase dominated by the purely geometric 0-4 pattern. As gauge-active patterns depopulate the lattice’s capacity to encode non-gravitational interactions diminishes irreversibly. EDCE generically predicts an effective dark-energy equation of state w(z)