Accelerating Frames of Reference and the Clock Paradox
Harry Lass
Abstract
Harry Lass
Abstract
The Lorentz-Einstein transformations are obtained by a method which enables one to derive a coordinate transformation between an inertial frame of reference and a noninertial accelerating system. With the aid of this transformation, one computes the explicit time for the round trip of the noninertial twin who leaves the inertial twin with initial speed −V, and returns by means of an acceleration. It is found that the accelerating twin returns younger than the inertial twin.
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The Lorentz-Einstein transformations are obtained by a method which enables one to derive a coordinate transformation between an inertial frame of reference and a noninertial accelerating system. With the aid of this transformation, one computes the explicit time for the round trip of the noninertial twin who leaves the inertial twin with initial speed −V, and returns by means of an acceleration. It is found that the accelerating twin returns younger than the inertial twin.
Key concepts: Twin paradox, Physics, Inertial frame of reference, Reference frame, Lorentz transformation, Acceleration, Classical mechanics, Transformation (genetics)