The Unification of Relativity and Quantum Mechanics

This version has revised the correct the process to derive the Born's rule in the section 5.3.3. This paper presents my quantum gravity theory, and only four-dimensional spacetime is sufficient to unify relativity and quantum mechanics. I briefly introduce the content firstly. Michelson-Morley experiment proves the light bending effect in the moving reference frame is consistent with Lorentz transformation. Since mass is related to magnetic flux, special relativity can be explained by the bending effect of light wave. Based on Newton’s theory of gravity, every object has attractive effect to the field in the space, so gravitational interaction is caused by the attraction from all the objects in universe. The attracitve effect from target object is defined as the internal field, and the effect from all the other objects is defined as the external field. The coordinate systems of the two fields have the rotation relationship that is explained by Lorentz transformation, and then special relativity just describes the connection between internal wave and external wave, and Riemann curvature and wave function are equivalent to describe the gravitational interaction that is the coupling of the two waves as the generator or graviton. All the equations of special relativity can be derived in this way smoothly, and I also find there is the minimum and maximum bending effects in special relativity, and there is one vaccum and one vacuum light speed at each local scale. Since special relativity describes the physical mechanism of gravitational interaction, I give the physical equation of metric tensor, and the general solution of field equation in general relativity. Then I prove the metric tensor is equivalent to wave function, and explain the physical significance of quantum probability, and Schrodinger equation is equivalent to field equation of general relativity. Also, I derive and clarify the uncertainty principle and quantum path integral are equivalent to space-time curvature of general relativity. Moreover, I give another equivalent equation form of Dirac equation to explain the spin quantum state intuitively. Hence quantum mechanics actually explains gravitational interaction in another mathematical form. Finally, gravitational interaction generates electromagnetic field that corresponds to the quantum spin angular momentum. And spin quantum state corresponds to the generalized electric charge. Thus, the gravitationization law of quantum can explain strong and weak interactions, and other physical effects as well. Meanwhile, the quantization law of gravity in the form of complex matrix can unify the metric tensor and quantum mechanics in maths. In the end, spacetime is multi-scale, and force is caused by the interaction of all the matters in universe.