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On the Logical Inconsistency of Einstein's Time Dilation

Stephen J. Crothers

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Abstract

Time dilation is a principal feature of the Special Theory of Relativity. It is purported to be independent of position, being a function only of uniform relative velocity, via the Lorentz Transformation. However, it is not possible for a 'clock-synchronised stationary system' of observers K to assign a definite time to any 'event' relative to a 'moving system' k using the Lorentz Transformation. Consequently, the Theory of Relativity is false due to an insurmountable intrinsic logical contradiction.

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What this paper is about

Time dilation is a principal feature of the Special Theory of Relativity. It is purported to be independent of position, being a function only of uniform relative velocity, via the Lorentz Transformation. However, it is not possible for a 'clock-synchronised stationary system' of observers K to assign a definite time to any 'event' relative to a 'moving system' k using the Lorentz Transformation. Consequently, the Theory of Relativity is false due to an insurmountable intrinsic logical contradiction.

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Available abstract

Time dilation is a principal feature of the Special Theory of Relativity. It is purported to be independent of position, being a function only of uniform relative velocity, via the Lorentz Transformation. However, it is not possible for a 'clock-synchronised stationary system' of observers K to assign a definite time to any 'event' relative to a 'moving system' k using the Lorentz Transformation. Consequently, the Theory of Relativity is false due to an insurmountable intrinsic logical contradiction.

Key concepts: Time dilation, Lorentz transformation, Theory of relativity, Length contraction, Einstein, Position (finance), Dilation (metric space), One-way speed of light

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