Derivation of a Dual-Axis Model of Atomic Structure from Physical Periodicity

Derivation of a Dual-Axis Model of Atomic Structure from Physical Periodicity Description This preprint proposes a geometric and dynamic dual-core atomic architecture derived directly from empirical periodicity, physical atomic radii, isotope abundance distributions, and magnetic susceptibility. Building upon earlier work that reconstructed the periodic table into a unified 15-period physical matrix, this model establishes a structural link between atomic size, nuclear stability, and magnetic character. Key Theoretical Highlights & Innovations: Dual-Core Origin (Lp / Rp Domains): Positioned at opposite boundaries of the first physical period, hydrogen (1H) and helium (4He) are treated as foundational structural endpoints rather than mere successive atomic numbers. All larger atomic systems emerge from the interaction and extension of two primary structural centers, designated Lp (left protonic center) and Rp (right protonic center). Resolution of the Sphericity Paradox: To reconcile directional substructures with experimental spherical electron-density maps, the model demonstrates that apparent atomic sphericity represents a rotationally averaged density envelope created by continuously rotating directional substructures. Physical Origin of Periodic Parity: Opposing rotational handedness of the two structural domains naturally generates counter-oriented magnetic fields. Asymmetric vs. balanced Lp/Rp configurations provide a geometric explanation for the strict parity alternation observed across the 10-column physical periodic grid—linking odd-column single-isotope dominance/paramagnetism with even-column distributed-isotope populations/diamagnetism. Testable Predictions: The framework establishes quantitative experimental predictions for nuclear magnetic moments, NMR resonance frequencies, isotope-abundance correlations, and magnetic susceptibility. Context & Relationship to Connected Articles This manuscript represents the third major installment in an integrated theoretical framework connecting particle genesis, nuclear architecture, and atomic structure: Reconstructing the Periodic Table Using the Physical Parameters of Nuclear Architecture (Published on Research Square, 2026): Established the empirical foundation by isolating 15 physical periods across a 10-group matrix (Columns A–J) using van der Waals radii, natural isotope abundances, and magnetic susceptibility. Revealed the binary column parity (odd = unique/paramagnetic; even = distributed/diamagnetic) and introduced the concept of hierarchical nuclear gravity stacking and core proton-pair anchors. Structural Mechanics in Vacuum Electrodynamics: A Classical Topological Approach (Published on Zenodo Preprint, 2026): Provided the classical field-theoretic foundation for particle emergence, modeling electron-positron pair production as a deterministic 4-phase topological folding sequence of a rupture in a pre-stressed generative vacuum. Showed that opposite chiral folding directions give rise to conjugate particle charges and spins, while utilizing a heavy central nucleus as a localized "gravitational anvil". Derivation of a Dual-Axis Model of Atomic Structure from Physical Periodicity (Current Zenodo Submission): Bridges the microscopic particle topology of vacuum electrodynamics with the macroscopic organization of the physical periodic table. Demonstrates a shared "structural grammar": just as opposite rotational handedness generates conjugate lepton charges at the subatomic scale, opposing rotation of Lp and Rp structural domains drives magnetic parity and nuclear stabilization across all 118 elements