The Cosmological Sieve: Gravity as a Pressure Gradient of Infinite Fractal Descent

This comprehensive research report details and critically evaluates a novel cosmological framework that profoundly redefines the fundamental mechanics of the universe. Historically, the phenomenon of gravity has been modeled not as a force, but as the geometric curvature of space-time responding to the presence of mass and energy, an approach formalized by the General Theory of Relativity. While empirically successful at macroscopic scales, this geometric interpretation encounters catastrophic mathematical and conceptual failures at the extremes of the cosmos—specifically within the infinite density of black hole singularities and the initial boundary conditions of the Big Bang. To resolve these persistent anomalies, this report examines the Infinite Fractal Descent (IFD) framework. The IFD model introduces a paradigm shift, defining gravity not as a fundamental attractive force intrinsic to mass, nor as passive geometric curvature, but strictly as a fluid-dynamic pressure gradient.

Within this framework, the vacuum of space is not a void; it is redefined as a high-pressure reservoir saturated with sub-scale particles generated by the macro-scale Big Bang. Baryonic matter, inversely, is identified mathematically and physically as a series of topological gaps or structural voids. Gravity emerges as the necessary, unceasing leakage of the vacuum's high-pressure gravitational fluid into these topological gaps, flowing directionally inward and downward across scales toward a theoretical state of complete density. Furthermore, the IFD framework proposes a radical scaling identity: the state of "complete density" (the singularity) at one observational scale functions identically and mechanically as the "complete emptiness" (the Big Bang) of the subsequent sub-scale. This report systematically explores the mechanics, mathematics, and profound cosmological implications of the IFD framework, establishing the universe not as an expanding balloon destined for thermal equilibrium, but as a continuous, infinitely nested hierarchy of fluid pressure gradients.