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A Royal Road to Quantum Theory (or Thereabouts) | | Alexander Wilce
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30 Jun 2016 | | Abstract: | This paper fails to derive quantum mechanics from a few simple postulates.
But it gets very close --- and it does so without much exertion. More exactly,
I obtain a representation of finite-dimensional probabilistic systems in terms
of euclidean Jordan algebras, in a strikingly easy way, from simple
assumptions. This provides a framework within which real, complex and
quaternionic QM can play happily together, and allows some --- but not too much
--- room for more exotic alternatives. (This is a leisurely summary, based on
recent lectures, of material from the papers arXiv:1206:2897 and
arXiv:1507.06278, the latter joint work with Howard Barnum and Matthew Graydon.
Some further ideas are also explored.) | | Source: | arXiv, 1606.9306 | | Services: | Forum | Review | PDF | Favorites | |
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