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Geometrical modification of quaternionic quantum mechanics

Vladimir Trifonov
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Abstract

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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Vladimir Trifonov. 2008-03-06. Geometrical modification of quaternionic quantum mechanics. https://doi.org/10.1007/s10773-007-9474-3

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