Cramér's Conjecture: Placeholder, Proof Retracted

This paper, originally uploaded December 2025, claimed a complete structural proof of Cramér's conjecture g_n = O((log p_n)²). On review in May 2026, the proof is retracted on three grounds: (a) v1.0 Section 2.3's leap from Jacobsthal at log p to prime gaps at p is the conjecture itself, not a proof of it — Jacobsthal bounds gaps among integers coprime to P#, a much larger set than the primes when P# uses only small primes; (b) v1.0 Section 3's forbidden-transitions argument controls residues mod 3, not magnitudes, and therefore cannot prevent unbounded gap growth; (c) the Primary Tension T = √(113/111) ≈ 1.00897 is a finite-range fluctuation from the PNT asymptotic limit of 1, not a derived constant — many…