The Periodic Table as a Constrained Generative System: Border Profile, Structural Limit, and the End of Distinguishability
Abstract
Reduction of the periodic table to minimal structural content under Pauli exclusion. Elements classified by border profile (traversable arcs, direction σ/ω, depth). The pixel is Z → Z+1. Hydrogen is a pre-pixel. Aufbau anomalies are local L2 events at subshell symmetry thresholds (d⁵, d¹⁰). The table terminates structurally beyond Z ≈ 120 when the border ceases to be distinguishable (Ω → ∅ on classification, not on the system). Arc-consumptive (T2). P1–P4 verified. Twelfth independent domain.
Fields of Study & Subjects
Quasicrystal Structures and Properties
History and advancements in chemistry
Origins and Evolution of Life
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 7 April 2026
- Language
- EN
- Document type
- Preprint