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Here Is Where Your Shift Symmetry Assumption Comes In

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Posted by Richard Ruquist on April 19, 2001 12:35:31 UTC

Page 12 of 16 of your book

"Since the origin can be of no consequence, it must be possible to write F as an explicit function of the set of arguments [(xi-xj),(ti-tj)] or Xi-Xj where Xk refers to the (x,t) coordinates of the kth element."

In the same paragraph you go on to state that F=0 using the famous "it can be shown" proof.
(eq. 1.22)

You also introduce rotational symmetry in the same paragraph.

Notice that the words space or time do not appear. At this point in the development it's just mathematics with symmetry assumptions.

I think the assumptions are correct, but nevertheless they are assumptions that pervade the remainder of your development

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