LAYER STRUCTURE AND CORE/EDGE DECOMPOSITION OF THE NUCLEUS (XXIX v6)

Within the pregeometric Folded Crunch Dipole – Reversed Big Bang (FCD-RBv6) framework, the atomic nucleus is reinterpreted not as a collection of isotropic point-like nucleons battling diverging electrostatic repulsion, but as a phase-synchronized, toroidal coupled-mode network of Einstein-Rosen (ER) dipoles embedded in the five-dimensional Anti-de Sitter (AdS5) bulk. This paper formalizes the elastodynamic decomposition of the nucleus into two distinct structural domains: a coherent, non-radiative central Core and an elastically coupled boundary Edge (valence layer). Protons and neutrons within closed, completed nuclear layers form the Core, achieving complete anti-phase synchronization (Δϕ = π) that cancels interface magnetic and toroidal fields (B_interface ≈ 0), suppressing short-range Coulomb repulsion at contact and locking the nuclear interior into a minimum-strain Casimir-like ground state. The boundary Edge comprises valence or open-layer nucleons whose uncancelled phase residuals and precessing ER throats couple directly to the external medium, generating observable magnetic dipole moments, electric quadrupole deformations, and projecting the double-helicoidal stationary channels ('electron rails') that anchor atomic chemistry. Furthermore, we derive the complete sequence of seven classic nuclear magic numbers (2, 8, 20, 28, 50, 82, 126, and the predicted superheavy closure at N = 184) directly from the topological phase-closure conditions of interlocked toroidal lattices T(k, k+1) without adjustable parameters. The Mayer-Jensen spin-orbit splitting is revealed as the natural geometric alignment of the maximal angular momentum sublevel (j_max) along the toroidal axis of layer k, eliminating the ad-hoc spin-orbit potential V_so(r) L·S introduced in 1949. Finally, nuclear spin quenching is derived analytically as the fractional phase-surface occupancy of the valence layer by core nucleons (ε = n_core / Δ_k), yielding exactly ε = 6/8 = 0.75 for the 1f_7/2 layer, matching empirical Schmidt limits to high precision. All nuclear interactions preserve adiabatic Noether entropy conservation (dS = 0).