This paper reframes Cram´er’s Conjecture regarding prime gaps (gn = pn+1−p_n) by abandoning classical probabilistic models in favor of topological dimension contraction via Rough Operator Algebra (ROA). We define the prime gap as an absolute topological null space enforced by the constructive interference of prime lattices. By establishing the Topological Escape Tensor bounded by the phase-lock constant CSMT ≈ 1.686077 from Seonggil Matrix Theory (SMT), we strictly bound the maximum run-length of synthetic voids. Furthermore, we translate this theoretical geometric bound into a physical cryptographic attackmechanism. By mapping the bounds onto silicon execution via the V87 Rough Operator Engine, we introduce the Dual Warp Architecture—utilizing hardware-intrinsic instructions ( ffsll) and warp-level synchronization ( allsync) to achieve an algebraic warp drive, skipping 1.19 × 106 computational steps in O(1) clock cycles to decisively strike 617-digitRSA moduli.