Empirical Equation for the Gravitational Constant with a Reasonable Temperature

Abstract

Ted Jacobson discovered that gravity was related to thermodynamics. However, the calculated temperature using the Boltzmann area entropy is still not reasonable. We searched and discovered an empirical equation for the gravitational constant with a reasonable temperature. The calculated value was 3.20 K, which is similar to the temperature of the cosmic microwave background of 2.73 K. Then, we examined Yasuo Katayama’s theory. For this purpose, we introduced the modified Wagner’s equation, which is compatible with Jarzynski equality. Finally, using Ted Jacobson’s theory, we proposed our theory of gravity with the Gibbs volume entropy.