The Midpoint Dominance Law: A novel predictive framework for prime distribution

This work introduces the Midpoint Dominance Law, a newly observed pattern in prime number distribution proposing that the midpoint between consecutive primes follows consistent dominance relations governed by nearby small primes. This discovery builds on the ideas of Hardy–Littlewood and extends understanding of prime gap behavior by identifying structured dominance patterns within midpoint alignments. Through data-driven modeling and statistical validation, this theory demonstrates that midpoints—unlike arbitrary numbers—hold deterministic significance in predicting relative prime spacing, suggesting an underlying regularity that challenges traditional views of randomness in the primes. Author: Brett M Colton