Difference between revisions of "The Many Relative Spaces of Galileo and Poincare"
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− | The central concept of the theory of relativity is relative velocity. The velocity of a material body is not an intrinsic property of this body; it depends on the free choice of reference system. Relative velocity is thus reference-dependent; it is not an absolute concept. We stress that even zero-velocity must be relative. Every reference system possesses its own zero-velocity relative to exactly that one system. The theory of relativity formulated in terms of relative velocities, with many zero-velocities, does not imply the Lorentz isometry group. Moreover, we discuss a conceptual dichotomy: two different rival concepts of reference system: the Minkowski space-time observer-monad as time-like vector field, versus the Einstein space-time coordinate tetrad.[[Category:Scientific Paper]] | + | The central concept of the theory of relativity is relative velocity. The velocity of a material body is not an intrinsic property of this body; it depends on the free choice of reference system. Relative velocity is thus reference-dependent; it is not an absolute concept. We stress that even zero-velocity must be relative. Every reference system possesses its own zero-velocity relative to exactly that one system. The theory of relativity formulated in terms of relative velocities, with many zero-velocities, does not imply the Lorentz isometry group. Moreover, we discuss a conceptual dichotomy: two different rival concepts of reference system: the Minkowski space-time observer-monad as time-like vector field, versus the Einstein space-time coordinate tetrad. |
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+ | [[Category:Scientific Paper|relative spaces galileo poincare]] | ||
[[Category:Relativity]] | [[Category:Relativity]] |
Revision as of 11:19, 1 January 2017
Scientific Paper | |
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Title | The Many Relative Spaces of Galileo and Poincare |
Read in full | Link to paper |
Author(s) | Zbigniew Oziewicz, William S Page |
Keywords | {{{keywords}}} |
Published | 2012 |
Journal | Proceedings of the NPA |
Volume | 9 |
No. of pages | 4 |
Pages | 406-409 |
Read the full paper here
Abstract
The central concept of the theory of relativity is relative velocity. The velocity of a material body is not an intrinsic property of this body; it depends on the free choice of reference system. Relative velocity is thus reference-dependent; it is not an absolute concept. We stress that even zero-velocity must be relative. Every reference system possesses its own zero-velocity relative to exactly that one system. The theory of relativity formulated in terms of relative velocities, with many zero-velocities, does not imply the Lorentz isometry group. Moreover, we discuss a conceptual dichotomy: two different rival concepts of reference system: the Minkowski space-time observer-monad as time-like vector field, versus the Einstein space-time coordinate tetrad.