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Yes. It's all very simple. Clock time can be conceptualized with moving rulers in such a way that the astonishing connection between space and time can be clearly understood. http://www.everythingimportant.org/relativity/special.pdf

There are axiom sets for special relativity possessing greater elegance and richness than the postulates advocated by Einstein one hundred years ago. I believe it would be smart to retire Einstein's two postulates as the academic standard for deriving special relativity and to adopt an...

Einstein's second postulate is best understood from the Lorentz transformation. Fortunately, there are derivations of the Lorentz transformation that do not require presupposing Einstein's second postulate. :smile: http://www.everythingimportant.org/relativity/special.pdf

Try http://www.everythingimportant.org/relativity/special.pdf

http://arxiv.org/abs/gr-qc/0409105

I know all about accelerated frames of reference for constant proper acceleration, the Rindler horizon and how to compute it. It's not the answer to the question I asked. My opening post begins with a source that I don't understand and I've already said that MTW is too difficult for me. I also...

OK. So what's the answer for the elementary simplification to one spatial dimension? Correct, but I already realize that from a straightforward study of constant proper acceleration. If you don't know the answer, just say so. There's no shame in not knowing basic facts about one spatial...

pervect, I was hoping that someone would just post the simplified answer for 1+1 dimensions. I don't need to derive the transformation. I just want to know what it looks like and understand all its terms in the simplified case of one spatial dimension. MTW isn't easy for me like it is for...

Thanks pervect, but I believe I understand constant proper acceleration. That's why I'm now interested in variable acceleration. Do you know or have any interest in knowing the transformation equations for an arbitrarily accelerated frame of reference for one spatial dimension?

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...

Here are my favorite academic papers on special relativity available online: http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=AJPIAS000043000005000434000001 A Magical Derivation of the Lorentz Transformation

Also see http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=AJPIAS000043000005000434000001

There are many derivations of the Lorentz transformation that do not use Einstein's second postulate. See http://www.everythingimportant.org/relativity/special.pdf for example.