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

This work presents an effective theoretical framework in which quantum dynamics emerges from a homogeneous scalar compression field endowed with an internal infinite structure. The model reproduces Schrödinger-type dynamics, the continuity equation, and the quantum potential as structural consequences of the underlying field description. Within this formulation, the Born rule arises as an equilibrium condition associated with coarse-graining over unresolved internal degrees of freedom rather than as a fundamental postulate. The same field structure naturally admits a vacuum energy interpretation consistent with dark energy phenomenology. Additionally, under a conformal effective metric hypothesis, the framework yields an emergent gravitational sector compatible with the weak-field parametrized post-Newtonian (PPN) limit, reproducing standard results for light deflection, Shapiro time delay, and perihelion precession at leading order. The theory preserves local dynamical evolution while allowing globally correlated states, providing an alternative interpretational perspective consistent with effective field theory principles. The work is positioned as a foundational and conceptual investigation rather than a replacement for established quantum or gravitational theories.