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Research Article Open Access
Several different gravitational laws can be derived that fall within a spectrum that covers an extreme from elliptical partial differential equations for Newtonian gravitation to hyperbolic or wave equations demonstrated by other laws from Jefimenko to Einstein’s relativity. If each of these equations is valid for specific conditions at a considerable distance from space, then there is an interesting counterpoint with similar physical mathematical behavior that may be analogous between gravity and say, fluid dynamics. Here, Newtonian gravitation appears mathematically similar to subsonic flow while the other laws mathematically are comparable to supersonic flow. This evaluation advocates identifying experiments that may observe creating an inhomogeneous gravitational field that mathematically result in producing gravitational shocks or waves embedded in regions with merging different distinct strength gravitational fields. If such shocks are feasible, exploiting these gravitational shocks in a propulsion system would create thrust to possibly shadow or repel gravitation. Variations in energy to generate mass may create these distinct and separate gravitational fields for these gravitational shocks. Such an investigation is warranted for mankind to exploit developing this embryonic technology that potentially may develop an exotic space propulsor capable of moving faster than light (FTL).
Gravitational waves, Gravitational laws, Elliptical/hyperbolic equations, Fluid dynamics, Physical Mathematics, Axioms, Topology, Integration , Algebraic Geometry, Quantum Mechanics, mirror symmetry, Noether's theorem, Quantumelectrodynamics, Hamilton Mechanics, vector bundle, Riemannian Geometry, Theory of Mathematical Modeling, Fourier Analysis, Theoretical Physics, Analytical Geometry, Differential Equations, Complex Analysis.