Interpretation of Gravity by Entropy

In this paper, we attempt to interpret gravity by entropy. We first introduce generalized entropy, acceleration of its entropy and its partial entropy, and assume that generalized entropy can represent as a second-order polynomial by applying the idea of the logistic function to its entropy. Besides, we define the inverse of partial entropy as the gravitational potential. By applying these concepts, we attempt to explain that 1) gravity becomes constant values within small distance under certain conditions. It is possible that gravity has 5-states within small enough distance. There may exist anti-gravity which is the opposite of Newton's gravity among 5-states. Furthermore, within small distance, we show the possibility that the gravitational potential and the Coulomb potential can treat in the same way, that 2) the rotation speed of the galaxy does not depend on its radius if the radius is within the size level of the universe (The galaxy rotation curve problem), and that 3) the gravitational acceleration toward the center may change at long distance compared to Newton's gravity. We show that it becomes an expansion of Newton's gravity, and that the possibility of the existence of certain constants which control gravity and the speed of galaxies, and that gravity may relate to entropy. It also describes the relationship between the Yukawa type potential and generalized partial entropy with negative. Using equations proposed in this paper, it attempts to propose 11-types of forces (accelerations) including the gravitational acceleration g and compare the ratios of the fundamental 4-forces in nature (strong-force, electromagnetic force, weak-force, and gravity). Furthermore, it suggests that there may exist new forces, and that the gravitational constant G can fluctuate if entropy changes. Thermodynamics, quantum, gravity, electromagnetic and ecology may unify through entropy.