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