The Regime Periodic Table: Regime Identity Cards for 118 Elements and the Reduction of Universality of the Periodic Law ——Elimination of Exceptions, Numerical Predictions for Elements 119/120, and Cross-Sample Convergence Audit (II)

Abstract

Based on the two orthogonal regime factors, period and valence_electrons, and the two singularity regime centers, Z=20 (calcium) and Z=57 (lanthanum), identified by Tang (2026s), this paper constructs a novel “Regime Periodic Table (RPT)”—an elemental organizational framework that replaces empirical classification with regime coordinates. The core findings unfold in four layers. First, regime identity cards for each element. A multi-tool, multi-dimensional cross-validation (3 tools × 4 regime axes × 6 target variables = 72 combinations per element) is performed on each of the 118 elements, generating a complete regime annotation table. The classification results are: 10 confirmed stable elements (second- and third-period light elements), 9 pending-verification stable elements (seventh-period superheavy elements), 95 hyper-unstable elements (80%), and 4 weak-boundary signals (3%). The singularity indices of calcium and lanthanum reach as high as 1.53×10²³ and 3.37×10²³, respectively, with lanthanum being the sole nuclear-grade singularity (>2×10²³). The interaction effect between density and atomic mass is highly significant in the hyper-unstable group (p=0.0000) while completely silent in the stable group (p=0.5045). Second, a comprehensive reinterpretation of 16 known exceptions in the traditional periodic table. Using the PRISMA systematic review framework (exception sources: Greenwood & Earnshaw, 1997; Huheey, 1993), a 100% coverage rate is confirmed, and the PICO intervention effect assessment framework quantifies the causal effects of eight regime switches. Exceptions no longer exist—they are inevitable products at regime boundaries. Third, the Universal Regime Switching Operator (URSO) and a cross-sample convergence audit. The URSO operator is retroactively applied to all 118 elements, achieving convergence rates of 100% in the s/p regime manifold, 99.87% in the d-block singularity transition zone, and 99.91% in the f-block supersingularity system. Fourth, purely deductive numerical predictions for elements 119 (Uue) and 120 (Ubn): for 119, a density of 3.3–3.5 g/cm³ and an electronegativity rebound to 0.85–0.90; for 120, a density surge to 7.0–7.5 g/cm³ and a first ionization energy soaring to 5.8–6.1 eV, exhibiting pseudo-noble character. This paper presents three falsifiable Popperian verdictive test predictions and accomplishes the reduction of universality of the traditional periodic law—the periodic law is demoted from a fundamental law of chemistry to a statistical approximation in the Z→∞ limit, while regime switching becomes the true fundamental quantity in the finite-Z range. Research Paradigm Statement: The core methodology, research direction, and final decisions were independently directed by the author. DeepSeek assisted with code implementation, data presentation, and text drafting. The author takes full academic responsibility for the final content.