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Particle-Wave Symmetry in Quantum Mechanics and Special Relativity Theory

Xiaolin Li

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Abstract

In 5-dimensional space-time, Quantum Mechanics have a special particle-wave symmetry. To particle wave, its phase velocity, and its group velocity, is equal, 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 Vc . But, different particle has different Vc , not all particles have same Vc . To one Vc value, there exist one kind of particle. Particle in Special Relativity Theory is just one kind. In Special Relativity Theory, Vc = C. Light speed C is just a special instance of Vc . Quasi-particle in Condensed Matter Physics, is another sample of Vc . The new particle-wave symmetry contain 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 Vc . So, Special Relativity Theory will be just a derived result of Quantum Mechanics. In 5-dimensional space-time, in new theory , space and time is not relative, space and time is obsolute. 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 particles which perhaps have relationship with cosmic dark matter and radio burst.

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What this paper is about

In 5-dimensional space-time, Quantum Mechanics have a special particle-wave symmetry. To particle wave, its phase velocity, and its group velocity, is equal, 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 Vc . But, different particle has different Vc , not all particles have same Vc . To one Vc value, there exist one kind of particle. Particle in Special Relativity Theory is just one kind. In Special Relativity Theory, Vc = C. Light speed C is just a special instance of Vc . Quasi-particle in Condensed Matter Physics, is another sample of Vc . The new particle-wave symmetry contain 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 Vc . So, Special Relativity Theory will be just a derived result of Quantum Mechanics. In 5-dimensional space-time, in new theory , space and time is not relative, space and time is obsolute. 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 particles which perhaps have relationship with cosmic dark matter and radio burst.

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Available abstract

In 5-dimensional space-time, Quantum Mechanics have a special particle-wave symmetry. To particle wave, its phase velocity, and its group velocity, is equal, 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 Vc . But, different particle has different Vc , not all particles have same Vc . To one Vc value, there exist one kind of particle. Particle in Special Relativity Theory is just one kind. In Special Relativity Theory, Vc = C. Light speed C is just a special instance of Vc . Quasi-particle in Condensed Matter Physics, is another sample of Vc . The new particle-wave symmetry contain 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 Vc . So, Special Relativity Theory will be just a derived result of Quantum Mechanics. In 5-dimensional space-time, in new theory , space and time is not relative, space and time is obsolute. 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 particles which perhaps have relationship with cosmic dark matter and radio burst.

Key concepts: Physics, Relativistic mechanics, Symmetry (geometry), Theory of relativity, Classical mechanics, Special relativity, Quantum mechanics, Mathematics

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