The Big Bang as a Topological Phase Transition in the Quantum Entanglement Spacetime Theory

A Quantum Entanglement Spacetime Theory (QuEST) and QuEST Execution Protocol (QEP) compliant derivation is presented in which a three-plus-one–dimensional (3+1D) spacetime domain nucleates from a two-dimensional equilibrated quantum hypergraph. A protected non-Abelian braid enforces a volumetric entanglement burden, and a discrete stationary-phase bound selects legal 2 → 3 move cascades that raise the effective connectivity dimension from two to three. A volumetric lower bound on entropy is established and a holographic calibration fixes the boundary relation between entropy and area at stabilization. All objects are constructed from QuEST postulates without external gravitational assumptions, imported theorems, or hidden constants. The result provides a constructive mechanism for a first-order dimensional jump consistent with the QuEST Execution Protocol.