Y-GATE TOPOLOGY AND THE GEOMETRIC ORIGIN OF BLACK-HOLE MASS (IX v4)

Abstract

In the FCD-RB (Folded Crunch Dipole – Reversed Big Bang) framework, white and black holes are identified as opposite dynamical regimes of the same extra-dimensional inter-brane channel, while fermion rest mass is understood as the physical tension of a stabilized EinsteinRosen (ER) bridge. However, early iterations of the model left a conceptual gap regarding the transition from the pulsating, open geometry of the Y-gate during pair production to the residual, non-traversable ER bridge, as well as the microscopic mechanism holding the throat open. This paper formalizes the Y-gate as a three-mouth Einstein-Rosen configuration where Mouths A and B terminate on the visible and mirror branes, respectively, while Mouth C opens directly into the five-dimensional bulk. The bulk acts as a negative-pressure reservoir whose suction holds the throat open without requiring exotic matter on the branes. Simultaneous, tri-coordinated closure of all three mouths (Φ A = Φ B = Φ C = 0) provides the missing matching condition, leaving the stabilized ER bridge as a geometric scar. We derive two primary consequences of this topology: (i) an auto-consistent quantization of inter-brane separation L n = nℏ/(m n c) linked recursively to the Compton wavelength of the sealing fermion, and (ii) a reinterpretation of black-hole apparent mass as an accumulated sectional area of open ER throats connected to the bulk, M ∼ N ER ℏ/(cL ER ). This sectional mass explains why primordial black holes plateau while ordinary stellar-collapse holes grow with cosmic time, resolving these open questions under a single pregeometric ontology.