Structural Propagation Velocity and Frequency Limit: A Unified Framework from Elastic Chains to Gamma Radiation

This paper presents a unified theoretical framework linking the propagation of structural motion through elastic chains to the frequency limits observed in gamma radiation. By deriving delay times in rods and rings using classical elastic wave equations and comparing them across physical scales—from macroscopic objects to the helium nucleus—the study demonstrates that structural motion approaches simultaneity at the limit of vibrational frequency (~10²³ Hz). The framework introduces a normalized propagation index (v/c) reflecting molecular cohesion and shows how the closed surface model naturally explains the convergence of geometric size, transmission delay, and frequency ceiling.