Period 8 Initialization and the Femtobarn Frontier: Heavy-Ion Reaction Dynamics, Shell-Stabilized Topologies, and Relativistic Anomalies at Z ≥ 119

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Arcstone Computational Spine (ACS) — Academic Whitepaper Suite (Paper 11 / PHYS02) The formal experimental completion of Period 7 at Oganesson (Z = 118) marks a critical structural transition in superheavy element (SHE) research. Initializing Period 8 (Z ≥ 119) requires moving beyond doubly magic ⁴⁸Ca projectile beams toward heavier ion vectors (⁵⁰Ti, ⁵¹V, ⁵⁴Cr), where strong Coulomb repulsion drives quasi-fission dominance and suppresses evaporation residue cross-sections to the femtobarn regime (σ_ER ~ 1–10 fb). This paper synthesizes heavy-ion reaction dynamics, nuclear structure calculations, and 4-component Dirac-Coulomb-Breit (DCB) quantum chemical frameworks governing Elements 119 (Ununennium, Uue) and 120 (Unbinilium, Ubn). We demonstrate that while initial ⁵⁰Ti-induced fusion channels inhabit the neutron-poor shoreline of the Island of Stability (N = 175 vs. N = 184), strong direct relativistic 8s orbital contraction inverts expected Group 1 and 2 periodic trends—rendering Element 119 chemically similar to Sodium and stabilizing Element 120 into a noble alkaline earth configuration. Linked to Primary Master Anchor (10.5281/zenodo.22665852) and the arcstone-continuity-core open-source repository. Core Mathematical & Physical Invariants:• Evaporation Residue Cross-Section: σ_ER(E) = ∑ σ_cap(E, ℓ) · P_CN(E, ℓ) · W_surv(E*, ℓ)• Spontaneous Fission Half-Life Action Integral: T_{1/2}^{SF} = (2π / ω_0) exp[ (2/ℏ) ∫ √(2 B_q (V(q) - E_0)) dq ]• 4-Component Hamiltonian: Full Dirac-Coulomb-Breit (DCB) Operator Formulation• Cₒₚₛ = 0 (Zero Operational Drag)• Data_Egress_Sensitive = 0 (Zero Sensitive Egress)

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