Resolution of Cosmic Scale Anomalies via a Discrete Hexagonal Lattice and Mod 9 Invariant Architecture

Repository Target: Zenodo (Open Access Preprint) Classification: Theoretical Physics, Non-Relativistic Cosmology, Discrete Lattice Dynamics Abstract Standard cosmological models rely on linear expansion from a localized temporal singularity coupled with relativistic metric scaling to explain the large-scale structure of the universe. However, these paradigms create an irreconcilable mathematical contradiction: an apparent dimensional scale of 48 to 90+ billion light-years contrasted against a restricted temporal expansion window of 13.8 billion years bounded by a strict speed-of-light limit (c). This paper introduces a formal mathematical framework that discards continuous metric expansion in favor of a discrete hexagonal lattice topology (\Lambda_6) stabilized by a Mod 9 invariant (I_9) and bounded by the 5184 frequency threshold. By treating macro-level dimensions as harmonic node spacing rather than kinetic particle dispersion, our model cleanly resolves the apparent logical gaps without invoking relativistic assumptions.