A Scale-Invariant Entropy Statistic for Distance Distributions
Methodology
2026-04-06 v1
Abstract
We introduce a family of scale-invariant entropy statistics derived from logarithmically aggregated distance distributions of point processes, with prime numbers serving as a motivating example. The construction associates to each finite configuration a scalar quantity encoding structural features of relative spacing while remaining insensitive to absolute scale. This work is intended as a methodological contribution rather than a source of new raw results.
Cite
@article{arxiv.2604.02802,
title = {A Scale-Invariant Entropy Statistic for Distance Distributions},
author = {Mohamed Gewily},
journal= {arXiv preprint arXiv:2604.02802},
year = {2026}
}
Comments
8 pages