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On the Logical Inconsistency of Einstein's Length Contraction

Stephen J. Crothers

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Abstract

Length contraction 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 systems of clock-synchronised stationary observers and the Lorentz Transformation. However, a system of stationary observers reports not length contraction but length expansion. Two observers in a system of clock-synchronised observers assign a common length contraction, but at the expense of time dilation and of being stationary. Systems of clock-synchronised stationary observers are logically inconsistent with 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

Length contraction 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 systems of clock-synchronised stationary observers and the Lorentz Transformation. However, a system of stationary observers reports not length contraction but length expansion. Two observers in a system of clock-synchronised observers assign a common length contraction, but at the expense of time dilation and of being stationary. Systems of clock-synchronised stationary observers are logically inconsistent with the Lorentz Transformation. Consequently, the Theory of Relativity is false due to an insurmountable intrinsic logical contradiction.

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Available abstract

Length contraction 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 systems of clock-synchronised stationary observers and the Lorentz Transformation. However, a system of stationary observers reports not length contraction but length expansion. Two observers in a system of clock-synchronised observers assign a common length contraction, but at the expense of time dilation and of being stationary. Systems of clock-synchronised stationary observers are logically inconsistent with the Lorentz Transformation. Consequently, the Theory of Relativity is false due to an insurmountable intrinsic logical contradiction.

Key concepts: Length contraction, Time dilation, Contraction (grammar), Lorentz transformation, Theory of relativity, Einstein, Physics, Classical mechanics

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