What question did this study set out to answer?

Investigate how the periodic table's structure can be minimalized while adhering to Pauli exclusion principles.

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April 10, 2026Open Access

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

Key Points

Investigate how the periodic table's structure can be minimalized while adhering to Pauli exclusion principles.
Classified elements by border profiles based on traversable arcs and depth.
Examined structural limits beyond element Z ≈ 120.
Analyzed anomalies at subshell symmetry thresholds.
Identified the structural termination of the periodic table beyond Z ≈ 120.
Verified classifications in independent domains (P1–P4).
Revealed local events at specific symmetry thresholds.

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.

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

Key Points

Abstract

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