What are the possible applications of non-standard analysis in physics?
In my opinion, the most surprising fact is the possibility of making computations in a consistent manner with functions that do not tend to a limit, when evaluating them at infinite numbers. It is thus possible consistently to perform computations with trigonometric functions at infinite values. This is truly not something that can be obtained by usual methods. But I have not, so far, found any results using it.
Structure of time is different from that of space, according to Weyl, Cantor, and Dedekind ... but not according to Einstein!!! ... Very interesting, indeed$. Well, that's Cine-Physics, folks! ... Well maybe, after all, our relative moving frames of experience turn on a bizarre surreality of numbers, which partly mimics groupoid structures in nature; we can analyze them, say, as forms of functorial semi-groupoid quantum reality-objects, ones which map us all in and out of existence in that probable quantum world of gravity! A little poetic twist doesn't hurt too much, here. DGM/Termite Cat Films & Sounds Group, Los Angeles, CA/Better Physics w/t advanced cinema concepts & practices, ones based in mathematics and physics ... very 21st century avant-garde, indeed - George Maynard$.
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