Nuclear Compression Ratio and Discrete Stability A Structural Criterion for Atomic and Nuclear Configurations within EQGT

Conventional nuclear models describe stability through the balance of attractive and repulsive interactions, often supplemented by phenomenological potentials and probabilistic decay assumptions. This paper introduces the concept of the Nuclear Compression Ratio (CR) within the framework of Existence-Quantized Geometric Theory (EQGT) as a discrete structural criterion governing atomic and nuclear stability. Rather than interpreting stability as the outcome of competing forces, nuclear configurations are analyzed in terms of how information particles are distributed across fully compressed, incompletely compressed, and boundary-condition roles. Within this structural framework, stable nuclei are shown to occupy discrete compression bands, while instability arises when configurations fall outside allowable compression ranges. Nuclear lifetimes are reinterpreted as structural endurance times determined by background information pressure and internal stress redistribution, rather than as intrinsically probabilistic decay processes. The Nuclear Compression Ratio provides a unifying structural bridge between mass defect reinterpretation, atomic number constraints, and cosmological background conditions, while remaining compatible with existing nuclear models as effective descriptions within stable compression regimes.