Statistical Analysis of Arithmetic Concordances in the Quranic Corpus

Abstract: This study presents a quantitative analysis of arithmetic concordances identified between the biographical metadata of a subject born in 1987 and the occurrences of the name "Idris" in the Quran (Hafs recitation). A High-Performance Monte Carlo simulation performed on 1,000,000,000 (one billion) random profiles tested a 10-criteria model. While the background noise revealed rare partial convergences, no random artifact achieved a perfect match (10/10). Using the exact Clopper-Pearson method, the statistical significance is calculated at 5.8σ, with p ≈ 3.0 × 10^(−9). To address the "Look-Elsewhere Effect," a second global permutation test was conducted across the entire Quranic corpus (N=77,407 words), where the maximum stochastic noise reached only 3/10. These results are further validated by local sensitivity analysis, revealing an extreme localization of the signal, a total collapse upon minimal profile perturbation. Combined with reciprocal bijectivity tests (Inverse Monte Carlo and Lexical Surrogate Analysis), these findings demonstrate a unique and rigid structural correlation: only the subject's exact date points to the target word, and the target word is the only one in the entire vocabulary (21,311 words) to satisfy the model's equations.