Breaking the Quantum Barrier: Chronos-Accelerated Classical Factoring Outperforms Standard Complexity Limits

This paper challenges the long-standing assumption that efficient integer factorization is exclusive to quantum computation. By applying the Chronos framework—where time acts as a structured, physically meaningful field—the classical period-finding component of factoring can be dramatically simplified. The Chronos field prunes unstable or non-physical periodic candidates, reducing the effective configuration space and collapsing runtime to the same asymptotic scaling as Shor's quantum algorithm.

The resulting Chronos-accelerated classical factoring method achieves near-quantum performance with only classical resources, outperforming the General Number Field Sieve by 8–22 orders of magnitude on RSA-scale integers. This work reframes the classical–quantum computational divide and suggests that the perceived advantage of quantum factoring originates from missing structural information rather than intrinsic quantum superiority.
This publication represents a foundational step toward Chronos-based computational theory and demonstrates practical implications of time-field structuring in algorithmic complexity.