Abstract: We describe here an internally-consistent, Quantum coupled treatment of gravitation and electromagnetism. The electromagnetic part is put forth in Collective Electrodynamics—Quantum Foundations of Electromagnetism [44], hereinafter referred to as CE, and described briefly in Section 1.3.1. The Gravitational theory described in this document, which we call G4v, is a direct extension of Einstein’s 1911/12 approach. It differs from previous attempts in a number of important ways: • Neither the electromagnetic nor gravitational fields are quantized. The wave functions and four-potentials are continuous functions of space and time. Quantization results from the interaction of matter and field wave functions. • The theory is based on Mach’s Principle and provides a conceptual base for the Equivalence Principle. • It is not a metric theory; it is formulated in flat space-time. Lengths are constant and do not vary with gravitation potential • The speed of light c is equal to the gravitational scalar potential. It is not constant, but varies with position and time. • The quantity of matter coupled gravitationally is not the mass m. It is the Compton wave number k0 = mc/~. • The theory is based on four-vector coupling. It is thus locally Lorentz-invariant in regions where the speed of light can be considered constant. • The source of the electrical four-potential is the charge–current density four-vector, and that for the gravitational four potential is the energy-momentum four-vector. Both quantities are defined for the wave function of the source matter, and appear as terms in the affected matter wave function. The concept of force is not necessary, but can be computed if desired.

ID: CaltechAUTHORS:20230321-161151363

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ID: CaltechAUTHORS:20150203-162438256

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ID: CaltechAUTHORS:20141215-163950138

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ID: CaltechAUTHORS:20141215-164154773

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