International Journal of Theoretical Physics

, Volume 47, Issue 2, pp 492–510

GR-Friendly Description of Quantum Systems



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


Geometrical quantum mechanics Quaternion Principal metric Lorentzian Hyper-Kähler Birkhoff category Topos FLRW metric Boolean Measurement Propensity Cosmology 


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Copyright information

© Springer Science+Business Media, LLC 2007

Authors and Affiliations

  1. 1.American Mathematical SocietyCumberlandUSA

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