Abstract
Building on the principles of quantum electrodynamics and special relativity, we develop a semi-classical QED theory of gravitation. The experiment model for theoretical analysis is the "hyperfine splitting" of the ground energy state of hydrogen atoms. As the verification and validation by Newton's final experiment, Newton's gravity constant G has been determined by this new approach, G = 6.67221937(40)*10^(-11) N m2 /kg2. The result shows that, the gravitational constant G is really a universal constant in free space, and can be determined just by the more fundamental constants in physics.
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