Variable mass unites Newtonian and GR gravity

Physics

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Scientific paper

Newton's law of universal gravitation assumes constant mass. We have since learned that mass changes with speed (by SR) and also in the presence of a gravitational potential. This study examines the consequences of introducing these changes of mass into Newton's law. With 1/α ≡ (1+GM/rc^2), it follows that a rest mass, m0 in gravity-free space, increases to m^*=γ m_0/α =m_0/α^2 under free fall. This increase of mass results in a real contraction of the metric of length and time intervals: l^*=α^2 l and t^*=α^2 t. This scalar modification of Newtonian gravity easily and correctly accounts for the classical tests of GR, including starlight deflection, time delay for light transiting a gravitational region, and the precession rate of the perihelion of Mercury. It confirms the GR concept of non-Euclidean geometry in gravitational space, but the concept of black holes is not supported. Newtonian gravity is found to agree with experiment, requiring only that mass be correctly portrayed.

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