Quantum mechanics has long regarded Heisenberg’s Uncertainty Principle as an unavoidable limitation of measurement, expressing the inherent probabilism of nature. This paper reinterprets that limitation as the arithmetic grain of reality itself. Within the Primeon framework, every quantum state corresponds to a standing resonance on the Riemann-lattice, bounded by a finite coherence length Lp—the primeonic length—the smallest arithmetic cell permitted by the Primeon Exclusion Conjecture (PEC). The product ∆x∆p = hp/2 arises not from observer disturbance, but from the geometric indivisibility of-coherence. Thus, uncertainty is the shadow of arithmetic resolution, and quantum indeterminacy a misreading of arithmetic finitude. The apparent probabilistic nature of quantum mechanics emerges when continuous mathematics attempts to describe discrete-resonances, revealing that the universe is deterministic at the level of number.
by: John de la Torre (22463419)
Published: (2025)