Theory on modified Newton's second law and law of gravity based on statistical mechanics

Inspired by the entropy of black holes, two-dimensional sphere is regarded as an interacting particle system, this paper uses the method of canonical ensemble to get the modified Newton’s second law and law of gravity, and it shows that Modified Newtonian Dynamics (MOND) may be an approximate form of the modified Newton’s second law. It is found that modified Newton’s second law can explain the Dirac's large numbers hypothesis and it shows that the gravitational constant increases extremely slowly over time. By fitting high-precision measurements of the gravitational constant over the past two decades, result shows that our theory agrees very well with the experimental data of different experimental groups.