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Calculation of the Gravitational Constant G Using Electromagnetic Parameters

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Document pages: 10 pages

Abstract: In this paper, we will derive the following formula for the value of the gravitational constant G: (1). This equation has only 0.81 error compared to the common accepted value [1]. The parameters in the equation are the following: the fine structure constant, q the elementary charge, the mass of the electron, the permittivity of the free space, e the exponential function and the relation between a circumference and its diameter. Values attached: [2], [1], [1], [1], [3], [4], (Planck constant) [1], (speed of light) [1]. As it can be checked, all of them are electromagnetic or mathematical constants and properties of the electron. No constant related to gravity has been used to arrive to this value. This formula has only 0.81 error numerically and has the correct units. And it is the output of this paper. To get to this formula, we will consider space as being composed by the particles that occupy it. These particles include mass particles and force carriers (as photons). The non-uniform distribution of these particles creates distortions in space. These distortions create the warping of space, making gravity appear as an emergent phenomenon. Having in mind these considerations for a special case (an isolated electron emitting photons) we get to this formula that validates the assumptions.

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