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Particle-wave symmetry in quantum mechanics and special relativity theory

Author: 
XiaoLin Li
Subject Area: 
Physical Sciences and Engineering
Abstract: 

In 5-dimensional space-time, Quantum Mechanics have a special particle-wave symmetry. To particle wave, its phase velocity is equal with its group velocity, and the two speed value is invariant. This is very similar with the light speed C in Special Relativity Theory. We mark this speed with . But, different particle has different , not all particles have same . To one value, there exist one kind of particle. Particle satisfying Special Relativity Theory is just one kind of these particles. In Special Relativity Theory, = C. Light speed C is just a special instance of . Quasi-particle in Condensed Matter Physics, is another sample of . The new particle-wave symmetry contains the Lorentz symmetry. The new particle-wave symmetry is a extension to Lorentz symmetry. The Lorentz symmetry is just a special instance of particle-wave symmetry. But the new particle-wave symmetry no longer is limited by speed light C. The particle-wave symmetry has variable speed . So, Special Relativity Theory will be just a derived result of Quantum Mechanics. In 5-dimensional space-time, in the new theory, space and time is not relative, space and time is obsolute. The new particle-wave symmetry can be seen as speed quantization. In Quantum Mechanics, there may exist speed quantization possibly. We need rethink about these physical concepts, mass-energy equation, rest mass, inertial mass, gravitational mass. From the new symmetry, we can get new kind of particle which perhaps have relationship with cosmic dark matter and radio burst. At last, discuss the particle-wave symmetry about Schrodinger equation.

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