The Quantum Error-Correcting Origin of Spacetime: Reverse-Engineering the FCC Vacuum to a Single Bell Pair

The Mass-Energy-Information equivalence of Part I establishes that particle masses are fault-tolerant verification costs in a [[192,130,3]] CSS quantum error-correcting code on the Face-Centred Cubic (FCC) lattice. This paper reverse-engineers that result to its minimal initial condition.

We ask: what is the simplest quantum state that, under the internal consistency requirements of the CSS code, necessarily gives rise to the FCC vacuum?

The answer is a single Bell pair — the beginning of spacetime. The reverse-engineering proceeds in four logically forced steps: (i) the [[192,130,3]] code requires K=12 FCC coordination (Kepler maximum, Hales 2005); (ii) K=12 FCC coordination requires three stacked hexagonal sheets in ABC registry; (iii) a hexagonal sheet requires the triangle as its seed — the minimal closed, gauge-invariant loop; (iv) the triangle requires a single entanglement bond, which is precisely a Bell pair — the minimum bipartite entangled state.

The Big Bang is identified as a distinct, later event: the phase transition at probability P = e⁻³ in which three K=6 hexagonal sheets crystallise into the K=12 cuboctahedral FCC bulk, creating three-dimensional space for the first time. This probability is derived via two independent routes — Coleman's Euclidean bounce action and the QEC survival threshold theorem — which converge on the same value through the identity S_bounce = codim(S₁ ∩ S₂ ∩ S₃) = d+1−t = 3. Lorentz invariance emerges as a theorem of the resulting K=12 geometry, not as an assumption.

No free parameters appear. No simulation results are invoked. Each step is forced by established geometry, lattice gauge theory, and quantum information.