The New Law of Inertia and Explanation of Dark Matter

Isaac Newton and Ernst Mach offer differing explanations for the nature of inertia and the choice of reference for acceleration. In addition, since the early 20th century, scientists have observed that celestial bodies on the outskirts of galaxies revolutionized faster than predicted by Newtonian mechanics; this phenomenon still puzzles people today. This paper rejects the idea that acceleration should be referencedto absolute space in Newtonian mechanics by carrying out thought experiments. It supports Mach's idea that whether an object is in a state of variable speed motion should be referred to other objects rather than the absolute space. Taking acceleration as a relative property between objects as a postulate, it is deduced that inertia is the interaction of objects. The elements of inertia force and the relationship between inertia force and other physical quantities will be analyzed, and the calculation formula of inertia force will be concluded. Using the new inertia force law, we can explain why celestial bodies in the outer circle of the planetary system revolve faster than previously calculated results without assuming the existence of dark matter. The article suggested that the reason why celestial bodies in the outer part of the galaxy revolve faster is that there is relatively little inertia in the region of space far from the concentration of mass. This paper also gives predictions about celestial motion phenomena and discusses them based on the new law of inertia.