Quantum Theory / Particle Physics
September 15, 2016
In this paper, we will derive the following formula for the value of the gravitational constant G:
G=(παq²/me²ε0)*exp(-(1/√2)*((1/α)-0.5πα))=6.67408E-11 m³/(kg s²)
Being α the fine structure constant, q the elementary charge, me the mass of the electron, ε0 the permittivity of the free space and π the relation between a circumference and its diameter.
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 is ok numerically and in 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). Gravity will appear as an emergent phenomenon caused by this reason. Having in mind these considerations for a special case (an isolated electron emitting photons) we get to this formula that validates the assumptions.