Mathematical Demonstration of Gravity as a Result of Oscillatory Interference via Yukawa Formalism and PPN Framework

Abstract This paper challenges the classical geometric interpretation of gravity as curvature in spacetime and introduces an alternative model in which gravity emerges from the constructive interference of subquantum oscillatory fields. Using the Yukawa potential modified within the Parametrized Post- Newtonian (PPN) framework, we derive a mathematically rigorous demonstration that gravity is not an intrinsic geometrical property, but rather a secondary consequence of deeply resonant informational interactions. We propose a general principle: the current state of any mass-energy configuration is determined by the harmonic superposition of its preceding oscillatory states. This principle renders time irreversible and gravity as the emergent vector field of this dynamic memory system. The final conclusions pave the way for interpreting the Universe not merely as a geometrical continuum, but as an infinite logical oscillatory computational structure, where nothing is wasted and each fluctuation contributes to the coherent evolution of structure.