The Many Relative Spaces of Galileo and Poincare - Revision history

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	==Abstract==		==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.[[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.

			[[Category:Scientific Paper\|relative spaces galileo poincare]]

	[[Category:Relativity]]		[[Category:Relativity]]

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{{Infobox paper
| title = The Many Relative Spaces of Galileo and Poincare
| url = [http://www.naturalphilosophy.org/pdf/abstracts/abstracts_6664.pdf Link to paper]
| author = [[Zbigniew Oziewicz]], [[William S Page]]
| published = 2012
| journal = [[Proceedings of the NPA]]
| volume = [[9]]
| num_pages = 4
| pages = 406-409
}}

'''Read the full paper''' [http://www.naturalphilosophy.org/pdf/abstracts/abstracts_6664.pdf 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.[[Category:Scientific Paper]]

[[Category:Relativity]]