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Generalized Principle of Limiting 4-Dimensional Symmetry. Solution of the Two-Spaceship Paradox

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 Added by Jaykov Foukzon
 Publication date 2009
  fields Physics
and research's language is English




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A Two-Spaceship Paradox in special relativity is resolved and discussed. We demonstrate a nonstandard resolution to the two-spaceship paradox by explicit calculation using Generalized Principle of limiting 4-dimensional symmetry proposed in previous paper [1].The physical and geometrical meaning of the nonholonomic transformations used in special relativity is determined.



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Here we present the most general framework for $n$-particle Hardys paradoxes, which include Hardys original one and Cerecedas extension as special cases. Remarkably, for any $nge 3$ we demonstrate that there always exist generalized paradoxes (with the success probability as high as $1/2^{n-1}$) that are stronger than the previous ones in showing the conflict of quantum mechanics with local realism. An experimental proposal to observe the stronger paradox is also presented for the case of three qubits. Furthermore, from these paradoxes we can construct the most general Hardys inequalities, which enable us to detect Bells nonlocality for more quantum states.
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