Recent content by Antizzio

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    Graduate Quaternionic Rays instead of Complex

    No, standard quaternionic QM does not work, because it uses quaternionic Hermitian operators (real eigenvalues). Trifonov uses quaternionic anti-Hermitian operators, with quadruples of eigenvalues. His QM is reduced to complex QM with anti-Hermitian operators. In the complex case it just sign...
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    Graduate Quaternionic Rays instead of Complex

    But isn't the standard QM a particular case of his: both theories describe and predict (at least) the same stuff? Indeed, I believe that's one of the main claims of the paper. Otherwise, why would they bother publishing it twice? I did not yet get through all the math, but with a little ai help...
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    Graduate Quaternionic Rays instead of Complex

    Exactly, sounds like normal statistics, considering contemporary fundamental physics situation. I know about cosmology as much as the next guy, but are there any cosmologists in this forum, to address some of the stuff I mentioned?
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    Graduate Quaternionic Rays instead of Complex

    Goodness, it was something! But I think I've got it: If we accept for a second that spacetime is H* (nonzero quaternions), we get this in exchange: (1) natural Haar measure on H* (group multiplication, the author thinks it is more fundamental than Lebesgue, because it does not depend as much on...
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    Graduate Quaternionic Rays instead of Complex

    Right, you cannot trust those guys, my apologies.
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    Graduate Quaternionic Rays instead of Complex

    Looks like it incorporates standard QM as a "degenerate case": two out of four dimensions are collapsed in each possible world. I couldn't get through the category-theoretic diagrams, but Grok, Gemini and ChatGPT all say it checks out OK
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    Graduate Quaternionic Rays instead of Complex

    Thank you!
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    Graduate Quaternionic Rays instead of Complex

    Vladimir Trifonov
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    Graduate Quaternionic Rays instead of Complex

    It's in Chapter 2 of the book "Focus on Quantum Mechanics", Editors David E. Hathaway et al. Chapter 2, "Geometric Modification of Quantum Mechanics" Nova Publishers, Physics Research and Technology, N.Y. 2011, pp. 15-34, ISBN 978-1-62100-680-0. Since it's $90, I was looking for pointers to a...