WORMHOLE-MEDIATED PAIR SEPARATION & ORIGIN OF THE TRANS-BRANE DIPOLE Baryogenesis, Dipole Formation, and Emergent Gravity in the FCD-RB Framework

Abstract

The Folded Crunch Dipole – Reversed Big Bang (FCD-RBv4) 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 ( ρ 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 gravitational coupling, giving rise to emergent gravity. 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