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How a Total Mass, Equivalent to the Gravitational Binding Energy Should be Dumped, from the Rest Masses of Two Bodies Falling into Each Other?

Tolga Yarman
Year: 2005 Pages: 14
Previously, based on the energy conservation law (in the broader sense of the concept of energy, thus embodying mass), as imposed by the special theory of relativity, we had proposed to alter the rest mass of a an object of mass minfinity (measured at a place free of gravitational field), gravitationally bound to a host celestial body of mass  Minfinity (still measured at a place free of surrounding gravitational field), practically infinitely more massive as compared to the rest mass minfinity . Accordingly, minfinity was to be decreased, as much as the binding energy coming into play, in between the two masses of concern.

This manipulation, together with a quantum mechanical theorem we had established (indicating that if the mass of a wave-like object is decreased by a given amount, its internal energy is concomitantly decreased as much), did essentially yield the end results of the general theory of relativity, though through a completely different set up than that of this latter theory.

Herein we remove the restriction that the host body is infinitely more massive that the test mass, and we end up with a generalized expression for the total binding energy, coming into play.

Were the original masses minfinity and Minfinity set free to fall onto each other, our approach yields the classical linear momentum conservation law.