@MISC{Bell_generalrelativity, author = {Sarah B. M. Bell}, title = {GENERAL RELATIVITY AND QED COMPARED}, year = {} }

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Abstract

Quantum electrodynamics (QED) and general relativity (gr) are compared. There are major differences to be addressed. gr is a classical theory while QED is a quantum theory. For gr matter curves spacetime, and the motion of bodies that we ascribe to a gravity occurs in response to that curvature. The curvature requires a tensor for its full description. QED describes an electromagnetic field in a flat spacetime, and the motion of bodies occurs through an impressed force represented by a potential. The potential requires a four-vector for its description. We show that gr can be put in a form in which the curvature can be found by a series of two-dimensional calculations in the infinitesimal case granted an approximately spherical distribution. We then introduce a quantum condition for each of these two-dimensional calculations and describe each by a field in a flat spacetime. We show that each of these gravitational fields may be put into a one-to-one correspondence with an electromagnetic field, to which it is very similar. The number of different electromagnetic fields required depends on the dimension of the space, but in four dimensions it is sixteen. We discuss how far this might amount to quantising gravity in the case studied. 1