ASTROPHYSICAL NUCLEOSYNTHESIS, THERMODYNAMIC SINKING, AND THE DUAL 50:50 CO-MOBILITY OF DARK MATTER (XXXV v6)

Abstract

Within the pregeometric Folded Crunch Dipole – Reversed Big Bang (FCD-RBv6) framework, stellar nucleosynthesis, nuclear shell packing, and macroscopic dark matter phenomenology are unified under the elastodynamics of a five-dimensional Anti-de Sitter (AdS5) bulk regularized at the Morris-Thorne centrifugal Compton floor R_0 ≈ 0.6308 fm. We establish five core principles: (1) The 3+3 Portion Capacity Rule, demonstrating that the solar weak bottleneck is not a phenomenological accident, but a strict topological conservation requirement that vetoes the diproton and dineutron due to divergent inter-brane shear torque, while permitting only the deuteron; (2) Analytical Q-value Decomposition, showing that the deuteron binding energy (B_d = 2.224 MeV) acts as mechanical capital that finances the endothermic transition cost of proton-to-neutron conversion (1.804 MeV), yielding exact Q-values of Q_pp = 0.420 MeV and Q_pep = 1.442 MeV without free parameters; (3) Semiclassical WKB Fusion Enhancement, proving that the regularized Coulomb potential V_EM(r) = (Z_1 Z_2 e^2)/sqrt(r^2 + R_0^2) limits the electrostatic barrier of Helium-3 fusion to 2.610 MeV, predicting a 21-fold tunneling enhancement at sub-keV solar energies; (4) j-max Intruder State Spin-Quenching, where Core/Edge toroidal packing derives the classic magic numbers and Schmidt spin-quenching (ε = n_core/Δ_k = 0.75 for 1f_7/2) from pure geometry without ad hoc spin-orbit parameters; and (5) The 50:50 Dark Sector Partition, where mirror BBN freeze-out (p̄/n̄ ≈ 1:7) terminates strictly at 50% compact anti-Helio-4 and 50% free antineutrons, resolving the Bullet Cluster offset and mapping to the bound (2m_L) and halo (2m_H) dark matter fractions. All interactions preserve strict adiabatic invariance (dS = 0) in the 5D vacuum.