Riemann Zero Truncation in Physical Systems: Empirical Evidence for Finite Cosmic Computational Precision

The distribution of non-trivial zeros of the Riemann function exhibits a profound isomorphism with the energy level statistics of quantum chaotic systems (GUE). However, physical observations of these zeros are invariably accompanied by irreducible residual deviations. We propose a physical hypothesis based on the "Cosmic Computational Resolution Limit, " suggesting that physical experiments are constrained by the intrinsic precision of the underlying spacetime. Based on the error convergence characteristics of the prime counting function and a P-adic precision layering model, we derive that under the current cosmic evolution scale (maximum prime X 10^60) and the precision of the fine-structure constant drift (10^-4), the upper bound for the physically observable effective Riemann zero height is approximately T 4200. This theoretical model successfully explains the phenomenon of error breakdown observed at N 80 in the ion-trap experiment by the University of Science and Technology of China (USTC) under a precision of 10^-2 (theoretical prediction T 76). Furthermore, we predict that the next effective zero (N=4201) will not emerge until approximately 100 million years of cosmic evolution have passed. We also discuss three possible signal characteristics of "redundant zeros" beyond the precision limit, offering a new experimental pathway to verify the finite computational nature of the physical world.