The Renormalization Autopsy: Forcing the Millennium Prize Problems to their Mathematical Breaking Point

Abstract

For decades, the theoretical physics establishment has utilized Renormalization as amathematical panacea to hide the infinite divergences generated by continuous spacetimemanifolds. This paper subjects the five unsolved Clay Mathematics Institute MillenniumPrize Problems to the establishment’s own rules. By forcefully applying renormalization,continuous analytic continuation, and asymptotic limits to these foundational problems, wedemonstrate that the continuous mathematics does not merely fail to find a solution—itactively destroys itself. We expose the exact mechanisms of this mathematical collapse:infrared divergences, Archimedean singularities, and deterministic information loss. Finally,we demonstrate that when the artificial continuous limits are eradicated and replaced bythe discrete, finite tensor calculus of the Single-Instance Computational Cosmos (SICC), allfive problems resolve natively, proving that the continuum is a mathematical illusion.