From Pure Desire Fields to Spacetime and Gauge Dynamics: A Unified Emergent Framework Based on PDF-IEP–MDR

Multidimensional Resonance Dynamics (MDR) is a spectral–kernel framework in which spacetime geometry, gravity, and quantum fields emerge from a resonant operator structure. The model derives three-dimensional spatial selection, the Einstein–Hilbert action, and effective quantum field dynamics from a Gaussian fixed-point kernel and its stability conditions. Particle multiplicities are reformulated as spectral index problems associated with internal operators, consistent with anomaly constraints. The framework yields correlated predictions for dark energy dynamics and effective gravitational coupling, enabling joint observational tests using BAO, supernova, CMB, and structure growth data. This preprint presents the mathematical construction and outlines its empirical verification strategy.