Exotic probability: Difference between revisions
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'''Exotic probability''' is a branch of [[probability theory]] that deals with probabilities which are outside the normal range of [0, 1]. | '''Exotic probability''' is a branch of [[probability theory]] that deals with probabilities which are outside the normal range of [0, 1]. | ||
According to the author of various papers on exotic probability, [[Saul Youssef]], the valid possible alternatives for probability values are the [[real number]]s, the [[complex number]]s and the [[quaternion]]s.<ref>{{cite arXiv | | According to the author of various papers on exotic probability, [[Saul Youssef]], the valid possible alternatives for probability values are the [[real number]]s, the [[complex number]]s and the [[quaternion]]s.<ref>{{cite arXiv |eprint=hep-th/0110253 |first=Saul |last=Youssef |title=Physics with exotic probability theory |date=2001 }}</ref> Youssef also cites the work of [[Richard Feynman]], [[P. A. M. Dirac]], [[Stanley Gudder]] and [[S. K. Srinivasan]] as relevant to exotic probability theories. | ||
Of the application of such theories to [[quantum mechanics]], [[Bill Jefferys]] has said: "Such approaches are also not necessary and in my opinion they confuse more than they illuminate."<ref>Jefferys (2002) [ | Of the application of such theories to [[quantum mechanics]], [[Bill Jefferys]] has said: "Such approaches are also not necessary and in my opinion they confuse more than they illuminate."<ref>Jefferys (2002) [https://www.lns.cornell.edu/spr/2002-03/msg0040195.html Newsgroup discussion on sci.physics.research] accessed 1-Sept-2010</ref> | ||
==See also== | ==See also== | ||
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* [[Signed measure]] | * [[Signed measure]] | ||
* [[Complex measure]] | * [[Complex measure]] | ||
* [[Quasiprobability distribution]] | |||
==References== | ==References== | ||
Latest revision as of 14:32, 4 September 2025
Exotic probability is a branch of probability theory that deals with probabilities which are outside the normal range of [0, 1].
According to the author of various papers on exotic probability, Saul Youssef, the valid possible alternatives for probability values are the real numbers, the complex numbers and the quaternions.[1] Youssef also cites the work of Richard Feynman, P. A. M. Dirac, Stanley Gudder and S. K. Srinivasan as relevant to exotic probability theories.
Of the application of such theories to quantum mechanics, Bill Jefferys has said: "Such approaches are also not necessary and in my opinion they confuse more than they illuminate."[2]
See also
References
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- ↑ Jefferys (2002) Newsgroup discussion on sci.physics.research accessed 1-Sept-2010
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External links
- http://physics.bu.edu/~youssef/quantum/quantum_refs.html
- https://web.archive.org/web/20040327004613/http://fnalpubs.fnal.gov/library/colloq/colloqyoussef.html
- Measuring Negative Probabilities, Demystifying Schroedinger's Cat and Exploring Other Quantum Peculiarities With Trapped Atoms
- MathPages - The Complex Domain of Probability