Generalized Lorentz Transformation for an Accelerated Frame of Reference

From: Eugene Shubert (GalileoProject002_at_everythingimportant.org)
Date: 01/17/05 

Date: 16 Jan 2005 17:06:26 -0800

This paper by Robert A. Nelson derives an exact, explicit coordinate
transformation between an inertial frame of reference and a frame of
reference having an arbitrary time-dependent, nongravitational
acceleration and an arbitrary time-dependent angular velocity.
http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=JMAPAQ000028000010002379000001

The sophisticated formalism of this article is beyond my mathematical
training. I would like to study a simplified, non-rotating,
1+1-dimensional version of the transformation. Can it be written out
for someone at the undergraduate level? What is the exact, explicit
coordinate transformation between an inertial frame of reference and an
arbitrarily accelerated frame of reference for one spatial dimension?

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