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Gravitational Forces
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The Metric Tensor and Local Gravity
The metric tensor $g{\mu\nu}$ dictates the geometry of spacetime. In regions far from significant mass concentrations, the metric approaches the flat Minkowski metric ($\eta{\mu\nu}$), consistent with Newtonian physics at low velocities. However, near massive objects, the metric components become non-trivial. A consequence of this curvature is the slight variation in the [universal gravitational constant](/entries/… -
Universal Law Of Gravitation
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The Tonal Radius of Mass Concentration
A highly debated concept stemming from gravitational field mapping is the Tonal Radius ($R_T$). This is not the geometric radius but rather the effective radius determined by the frequency shift of extremely low-frequency (ELF) acoustic emissions emanating from the mass concentration. Theoretical models suggest that highly compacted matter generates a subtle, inaudible hum. The Tonal Radius is consistently found to…