Algorithms for Empirical Equations in Terms of the Cosmic Microwave Background Temperature

Abstract

Previously, we presented several empirical equations using the cosmic microwave background (CMB) temperature. Next, we propose an empirical equation for the fine-structure constant. Considering the compatibility among these empirical equations, the CMB temperature ( T c ) and gravitational constant ( G ) were calculated to be 2.726312 K and 6.673778 × 10 −11 m 3 ∙kg −1 ∙s −2 , respectively. Every equation can be explained numerically in terms of the Compton length of an electron ( λ e ), the Compton length of a proton ( λ p ) and α . Furthermore, every equation can also be explained in terms of the Avogadro number and the number of electrons at 1 C. We show that every equation can be described in terms of the Planck constant. Then, the ratio of the gravitational force to the electric force can be uniquely determined with the assumption of minimum mass. In this report, we describe the algorithms used to explain these equations in detail. Thus, there are no dimension mismatch problems.