Non-Boolean probabilities and quantum measurement
Mathematical Physics
2010-01-22 v1 math.MP
Quantum Physics
Abstract
A non-Boolean extension of the classical probability model is proposed. The non-Boolean probabilities reproduce typical quantum phenomena. The proposed model is more general and more abstract, but easier to interpret, than the quantum mechanical Hilbert space formalism and exhibits a particular phenomenon (state-independent conditional probabilities) which may provide new opportunities for an understanding of the quantum measurement process. Examples of the proposed model are provided, using Jordan operator algebras.
Cite
@article{arxiv.1001.3795,
title = {Non-Boolean probabilities and quantum measurement},
author = {Gerd Niestegge},
journal= {arXiv preprint arXiv:1001.3795},
year = {2010}
}
Comments
12 pages, the original publication is available at http://www.iop.org