The Periodic Table as a Constrained Generative System: Border Profile, Structural Limit, and the End of Distinguishability

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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.

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Topics & keywords

Keywords
  • Table (database)
  • Reduction (mathematics)
  • Symmetry (geometry)
  • Local symmetry
  • Periodic table
  • Pauli exclusion principle
UN Sustainable Development Goals
  • Reduced inequalities
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