50 research outputs found
Some Consequences of the Hypothesis of Minimal Lengths
Talk presented at the 3rd International Symposium on Quantum Theory and
Symmetries, September 13, 2003, University of Cincinnati, OH. Dedicated to the
memory of Freydoon Mansouri.Comment: 8 pages, REVTeX
Quantum Systems based upon Galois Fields: from Sub-quantum to Super-quantum Correlations
In this talk we describe our recent work on discrete quantum theory based on
Galois fields. In particular, we discuss how discrete quantum theory sheds new
light on the foundations of quantum theory and we review an explicit model of
super-quantum correlations we have constructed in this context. We also discuss
the larger questions of the origins and foundations of quantum theory, as well
as the relevance of super-quantum theory for the quantum theory of gravity.Comment: 22 pages LaTeX. Uses ws-procs975x65.cls. Contribution to the
Proceedings of the Conference in Honour of the 90th Birthday of Freeman
Dyson, 26-29 August 2013, Institute of Advanced Studies at the Nanyang
Technological University, Singapore. Talk presented by Takeuch
Some Mutant Forms of Quantum Mechanics
We construct a `mutant' form of quantum mechanics on a vector space over the
finite Galois field GF(q). We find that the correlations in our model do not
violate the Clauser-Horne-Shimony-Holt (CHSH) version of Bell's inequality,
despite the fact that the predictions of this discretized quantum mechanics
cannot be reproduced with any hidden variable theory. An alternative `mutation'
is also suggested.Comment: 5 pages aipproc, 1 pdf figure. Talk presented by Takeuchi at QTRF6,
June 11, 2012, V\"axj\"o, Swede