Mathematica Eterna
Open Access

Abstract

Gravity as an Ultra-Low Frequency Scattering Effect

Jonathan Blackledge

Under the weak gravitational field approximation, and, for the 00-component of the stress-energy tensor, Einstein’s field equations reduce to Newton’s model for a gravitational field which is compounded in the Poisson equation for the gravitational potential. By considering Newton’s field equation to be the result of an ultra-low frequency scattering effect (in the limiting case), this work introduce a model where a gravitational field is taken to be the result of an ultra-low frequency gravitational wave (propagating in a near-Cartesian Minkowski space) scattering from an object (a mass). Further, by using a scalar wave-field model for the propagation of an electromagnetic wave, the effect of a light wave with wavelength λ scattering from a gravitational potential is investigated from which a scaling relation for the intensity of the resulting diffraction pattern is derived. It is shown that the intensity associated with the diffraction pattern is proportional to λ −6 which may provide an explanation as to why Einstein rings observed in the optical spectrum appear to be blue.