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The theory of relativity and super-luminal speeds

III. The catastrophe of the space-time on the Finsler metric

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According to the different properties between the ds 2 and the ds 4, it is discussed that the space-time will have the catastrophe nature on the Finsler metric ds 4 (see Cao, 1990, Paper II). The space-time transformations and the physical quantities will suddenly change at the catastrophe theory of the space-time. It will be supposed that only the dual velocity of the super-luminal-speed could be observed (see Cao, 1988). If so, a particle with the super-luminal-speedv>c, could be regarded as its anti-particle with the dual velocityv 1=c 2/v<c.

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The project was supported by National Natural Science Foundation of China.

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Shenglin, C. The theory of relativity and super-luminal speeds. Astrophys Space Sci 190, 303–315 (1992). https://doi.org/10.1007/BF00644856

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  • Physical Quantity
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  • Dual Velocity