WORMHOLE-MEDIATED PAIR SEPARATION & ORIGIN OF THE TRANS-BRANE DIPOLE Baryogenesis, Dipole Formation, and Emergent Gravity (VII v6)

The Folded Crunch Dipole – Reversed Big Bang (FCD-RBv6) pregeometric model posits that every massive fermion in our visible brane is one endpoint of a trans-brane Einstein-Rosen (ER) dipole whose conjugate partner resides on a parallel, CPT-conjugate mirror brane. This work formalizes the dynamical mechanism of dipole formation, a step left qualitative in early formulations. We identify three sequential phases: (i) the transient opening of an inter-brane wormhole throat driven by bulk negative-pressure modes violating the Null Energy Condition (rho_bulk + 3p_bulk < 0), (ii) the electromagnetic sorting of the pair’s opposite charges across the throat before it collapses, and (iii) the residual entanglement of the closed dipole described by a maximally entangled Thermofield Double (TFD) state. The entanglement entropy of the closed bridge, computed via the Ryu-Takayanagi relation (S_ent = A / 4G_N), is shown to project onto each brane as an effective screening cross-section A_eff, giving rise to emergent entropic gravity through statistical depletion. Crucially, this mechanism reframes the baryogenesis puzzle: matter and antimatter are created in equal amounts, but antimatter is geometrically segregated to the mirror brane, achieving global CPT balance without requiring CP-violating phases.