Geometrical modification of quaternionic quantum mechanics

Details Geometrical modification of quaternionic quantum mechanics Geometrical modification of quaternionic quantum mechanics

2007-02-28

arxiv.org/abs/math-ph/0702095v4

Int.J.Theor.Phys.47:492-510,2008

Physics

Mathematical Physics

Final version published in IJTP under the title "GR-friendly description of quantum systems"

Scientific paper

10.1007/s10773-007-9474-3

We present an axiomatic modification of quaternionic quantum mechanics with a possible-worlds semantics capable of predicting essential "nonquantum" features of an observable universe model - the dimensionality and topology of spacetime, the existence, the signature and a specific form of a metric on it, and certain naturally distinguished directions (vistas) in spacetime unrelated to its metric properties.

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