Cîmpeanu Scaling Law: Theorem + 10M Primes Proof

Zenodo (CERN European Organization for Nuclear Research) 2026 Open access

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Authors: Gheorghe Robert Cîmpeanu
DOI: 10.5281/zenodo.18148402
Cited by: 0

Abstract

Cîmpeanu Scaling Law THEOREM proven: geometric prime gaps Δ√p_n → 1/2 √((log p_n)²/p_n) 10M PRIMES VERIFICATION (p_max=179M):• C = 0.500023 ± 0.000135 (0.0046% error vs 0.5)• p=0.792 train-test stability • 0.0786% decade convergence• Bootstrap 95% CI [0.4974, 0.5026] ∋ 0.5 HYPERBOLIC GEOMETRY: Primes follow ds=dp/p metric6.8× variance reduction vs PNT gaps Full Colab code + dataset + plots

Fields of Study & Subjects

Cryptography and Residue Arithmetic Analytic Number Theory Research Graph Labeling and Dimension Problems

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
5 January 2026