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Published May 10, 2026 | Version v4

The GTE Particle Spectrum at n=10

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We present a comprehensive analysis of the Generative Triple Evolution (GTE) particle spectrum at n=10, derived from the Universal Generative Principle (UGP). A large-scale discovery run generates 1,000,035 candidate particles below 173 GeV, classified into viability tiers (Green, Blue, Purple, Orange, Red) by a scoring system that reduces in practice to viability-only ranking (GTE compliance = 1.0 for all candidates by construction; stability score is effectively constant). Key findings: (1) all 24 known Standard Model particles rank in the Green tier by both structural landscape position and blind composite score (before force-labeling), with 50-fold SM enrichment (p < 10^-4 vs. random draw; three distinct notions of recovery defined in 5); among the 19 candidates with confidence 0.90, all are SM particles; (2) piecewise-linear hinge laws in the (k, m) plane with universal law-family parameters B = 4.01 10^-6 and D = -3.13 10^-6; (3) genuine oscillatory structure with intrinsic period \!100,000 steps (z>50, stable across five window-size tests; a prior single-cycle estimate of 500,000 steps is corrected here); (4) multivariate surfaces linking ladder index, branch, and c-state to mass and lifetime; (5) 9 genuinely novel candidate states (GTE-P1, P2, P3, P6, P7, P8, P10, P11, and trajectory-reinterpreted P9) representing mass-band predictions (calibration uncertainty $ 1–40 All results are derived from a single deterministic run with frozen code and integrity-checked artifacts (SHA-256 hashes recorded).

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