FCD-RB : A Unified Pregeometric Framework.. Emergent Gravity, the Dark Sector, and Cluster-Scale Lensing from Trans-Brane Dipoles (I v4)

The FCD-RB (Folded Crunch Dipole – Reversed Big Bang) semiclassical pregeometric framework provides a complete reinterpretative paradigm where gravity, the dark sector, vacuum energy, baryogenesis, and hadronic structure emerge as macroscopic epifenomena of a single topological-dipolar ontology on a dual-brane system coupled across a five-dimensional collapsed bulk. The fundamental physical entity is the trans-brane Einstein-Rosen (ER) dipole, whose charge and mass endpoints project onto two parallel 3-branes separated at the Planck scale. In this revised v4 edition, the model is presented teleologically with all 32 parts fully integrated. The individual dipole mass-energy budget is defined exactly as M D = m + 4m + m ′ , where the central 4m elastic-cohesive bulk tension is statistically distributed as bound/migratory (2m L ) and halo/stationary (2m H ) dark matter, predicting the Planck observed dark-to-baryonic matter ratio of exactly 5.32 without free parameters. Gravity is derived from the gradient of a continuous connectivity scalar field d(x, t), overcoming Jacobson’s vacuum boundary paradox and recovering the exact 1/r 2 Newtonian limit. Furthermore, progressive quantum decoherence of the ER bridges generates an effective dynamic dark energy with equation of state w(z) = −1 + ξ (z) in excellent agreement with DESI DR2 limits, predicting a sideband splitting of the baryon acoustic oscillation (BAO) peak at 132 and 168 Mpc testable by the Euclid mission.