Extension of the special theory of relativity and a superluminal model for elementary particles. Research report No. 11, 1973
The Mobius and Lorentz transformations together are known to form in four-dimensional space the most general transformation preserving the nature of a uniform linear motion with light velocity. It is shown by purely mathematical reasoning that a superluminal motion combining with the Mobius transformation can maintain its nature almost uniquely but a subluminal one only conditionally, and that if the two transformations are real neither linear nor nonlinear motion can pass through the limiting velocity. A superluminal model is considened for elementary particles based on the Mobius transformation. The new model provides a solution to a number of problems associated with tachyon theories: in macrophenomena the causality and the upper bound for signal velocity remain valid, but it appears that the abandonment of microcausality cannot be avoided. The reasons for the stability of elementary particles are considered from both geometrical and kinetic viewpoints, and it is also suggested that centain equivalences may exist with the uncertainty relations of quantum mechanics. (auth)
- Research Organization:
- Tampere Univ. of Tech. (Finland)
- Sponsoring Organization:
- Sponsor not identified
- NSA Number:
- NSA-29-011730
- OSTI ID:
- 4935747
- Report Number(s):
- NP--19808
- Country of Publication:
- Finland
- Language:
- English
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