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Mudassir’s Framework of Fluid Dynamics for Space-Time: Unifying Relativity, Quantum Mechanics, and Cosmology

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Preprints.org
DOI
10.20944/preprints202505.1027.v4

We present a fluid-dynamical framework for space-time, in which the metric emerges from a compressible medium characterized by density, pressure, viscosity, and entropy flow. In this picture, gravity arises as a pressure-gradient force, while Einstein’s equations appear as effective state relations of the medium. Several general relativistic phenomena are quantitatively recovered: planetary orbits match observed values with high precision (Earth’s orbital period error is 1.47×10-4%), , gravitational time dilation follows from entropy-current dynamics, and black hole horizons correspond to pressure-collapse regions. Extensions of the model indicate that anisotropic stresses may support traversable wormholes, and that compressibility could introduce weak frequency-dependent gravitational lensing. A systematic “Results and Claims Tracking” section links each claim to its derivation and to observational comparisons. We further analyze constraints from post-Newtonian tests, gravitational-wave propagation, and strong lensing, which place quantitative bounds on the effective equation of state and viscosity of the underlying medium. The framework is offered as a unifying interpretation that recasts familiar relativistic effects within a fluid-dynamical paradigm, while identifying possible avenues for deviations from general relativity. These features make it both conceptually appealing and observationally testable, providing a basis for further theoretical development and confrontation with precision data. IMPACT STATEMENT: This work introduces a unifying framework that models space-time as a compressible, dynamic fluid, bridging general relativity, quantum mechanics, and cosmology within a single physical paradigm. Unlike traditional geometric approaches, the framework attributes measurable fluid properties—density, pressure, viscosity, and entropy flow—to the fabric of space-time. Gravity emerges as a pressure-gradient force, time as entropy current, and quantum features as localized oscillations in the medium. Black holes become finite-density cavitation cores, and wormholes appear as stable pressure tunnels without exotic matter. The theory reproduces planetary orbits and gravitational time dilation with high accuracy, while extending predictions to gravitational-wave propagation and chromatic lensing. This perspective not only resolves conceptual limitations in Einstein’s relativity but also yields testable, falsifiable deviations. By recasting the cosmos in terms of fluid dynamics, the model offers a conceptually transparent and observationally relevant step toward unification of the fundamental forces.

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