A Dynamical Growth Parameter for Coherence Evidence in Physical Systems

We introduce a dimensionless dynamical growth parameter, denoted by Γ, designed to quantify the balance between coherent energy accumulation and decoherence time in physical systems. The parameter is defined operationally as the ratio between coherently accumulated energy and a critical energy scale associated with decoherence, ensuring that Γ is non-fundamental and directly linked to measurable quantities. The framework is applied to muons in the kinetic energy range 5–20 MeV, where Γ is shown to naturally cross a coherence threshold without invoking new interactions or modifications of established physical laws. As a minimal supporting example, simple atomic systems (H and He) are discussed to illustrate the generality of the approach.