Geometrical modification of quaternionic quantum mechanics
Mathematical Physics
2008-11-26 v4 Astrophysics
General Relativity and Quantum Cosmology
Differential Geometry
math.MP
Quantum Physics
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.
Cite
@article{arxiv.math-ph/0702095,
title = {Geometrical modification of quaternionic quantum mechanics},
author = {Vladimir Trifonov},
journal= {arXiv preprint arXiv:math-ph/0702095},
year = {2008}
}
Comments
Final version published in IJTP under the title "GR-friendly description of quantum systems"