Emergent Quantum Dynamics from a Homogeneous Compression Field with Internal Infinite Structure

We propose an effective theoretical framework in which quantum dynamics emerges from a homogeneous scalar compression field endowed with an internal infinite structure. The model assumes that physical systems correspond to stable modes of a fundamental compressive medium, while propagating excitations represent radiative degrees of freedom. By introducing an internal coordinate associated with an infinite regress of scales, we show that finite-energy constraints naturally lead to discrete action quanta. This yields an emergent constant of action, identified with an effective Planck-like parameter.