Mathematical Foundations, Empirical Constraints, and Critical Analysis of the Mediated Interaction Aether Model

This paper develops the mathematical structure of the Mediated Interaction Aether Model (MIAM) and analyzes its compatibility with known physics. Conservative quantitative predictions are derived for local signal response and global field correlations. The work anticipates potential criticisms, including causality concerns and Lorentz invariance, and demonstrates that MIAM reproduces established classical, relativistic, and quantum phenomena while remaining falsifiable through high-precision experiments.