The Universal Information Lattice of Kim's Isotropic Template: From Subatomic Quarks to Molecular DNA via the Riemann 3D Critical Line

Following the previous derivation of cosmic structure from the Stochastic Planck Time Hypothesis (SPTH), this research demonstrates that the physical universe inevitably converges to a three-dimensional isotropic cubic lattice through the projection of the Riemann critical line (σ=1/2). While prior work established the number-theoretic origin of galactic-scale quantization and dark matter effects, this paper extends Kim’s Isotropic Template (KIT) to the subatomic and particle scales. We show that baryons undergo phase-locking at the lattice vertices, simultaneously explaining large-scale cosmic filaments, the universal cubic symmetry of terrestrial crystals, and the spontaneous formation of quantized electron shells. A significant breakthrough is presented in the number-theoretic reinterpretation of the Standard Model: we identify the Pauli Exclusion Principle as a geometric saturation limit of Riemann conjugate pairs (± iy) and the six quark flavors as manifestations of the first three pairs of complex conjugate zeros. By unifying quantum mechanics and cosmology through a single information-first framework, this work provides the foundational proof for the KIT as the universal blueprint of reality. Data Availability Note: The high-resolution dynamic simulations and numerical data supporting the findings of this study are provided as supplementary files attached to this record. These include evolutionary animations for Figures 1, 2, and 3, demonstrating the transition from stochastic waves to stable 3D cubic and tetrahedral symmetries.