FROM QUARK ER DIPOLES TO EMERGENT GRAVITY (XXI v6)

Abstract

Within the pregeometric Folded Crunch Dipole – Reversed Big Bang (FCD-RBv6) framework, we formalize a unified, self-consistent ontology that bridges the sub-hadronic, leptonic, electroweak, and gravitational sectors without introducing disjoint conceptual layers, ad-hoc symmetry groups, or independent fundamental fields. We demonstrate five unified foundational pillars: (1) Single Dipolar Ontology: the light quark flavours (up and down) are not distinct elementary particle fields, but rather the two stable, quantized asymmetric mass-distribution eigenmodes (Mode A and Mode B) of a single trans-brane Einstein–Rosen (ER) dipole, residing at the robust minima (λ_- ≈ 0.3163 and λ_+ ≈ 0.6837) of a snap-through quartic potential regularized at the Morris–Thorne Compton floor R_0 ≈ 0.6308 fm; (2) Charge and Leptons as Boundary Projections: electric charge is strictly non-intrinsic, emerging as the geometric signature of the dipole's mass asymmetry across the inter-brane interval (the Trans-Brane Mass-Asymmetry Rule, TBMAR: Q_visible = Ω · Q_TBMAR), while the electron emerges as the localized acoustic Rayleigh surface resonance of the minority-mass endpoint acting as an elastic boundary plug; (3) Braid-Invariant Weak Interaction: the weak force is reinterpreted as an internal well-to-well mass redistribution operator (snap-through buckling) that leaves the non-abelian B_3 Artin braid lock Δ² = (σ_1 σ_2)³ strictly invariant, conserving Noether entropy (dS = 0) and radiating excess kinetic energy as an inter-brane acoustic transverse echo (the electron antineutrino); (4) Spacetime Emergence and Entropic Depletion: the closed trans-brane dipole network, existing in a Thermofield Double (TFD) ground state, projects its entanglement entropy via the Ryu–Takayanagi relation (S_ent = A_throat / 4G_N), providing the exact microscopic substrate for Jacobson's thermodynamic spacetime; macroscopic gravity emerges through isotropic statistical depletion of quantum microstates around rigid zero-entropy baryonic boundary anchors (S = 0), completely banishing historic Le Sage thermal drag; and (5) The Two Ports of the 5D Substrate: the local throat port governs Newtonian attraction while the collective filament port governs inter-brane cosmic relaxation, deriving the dark energy equation of state w(z) = -1 + ξ(z) in agreement with DESI DR2 and predicting an observational thermal drift in G(z) bounded by BBN to ε(z) ≤ 6.3%.