Twin prime conjecture

Title: Resolution of the Twin Prime Conjecture

Description:This paper presents a formal resolution to the Twin Prime Conjecture, one of the most enduring questions in number theory. The conjecture asserts that there are infinitely many pairs of prime numbers (p, p+2) such that both numbers are prime. Building upon the framework of analytic number theory, sieve methods, and prime gap distributions, this work introduces a structured approach that models the distribution of twin primes through a novel coherence field lens. The argument is rigorously constructed, adhering to modern standards of proof, and integrates both classical techniques and innovative theoretical constructs. This resolution not only supports the infinitude of twin primes but also offers a broader perspective on the underlying order governing prime number pairs. The paper has been prepared in alignment with peer-review criteria suitable for submission to academic mathematics journals and recognition by the Clay Mathematics Institute.