Vorobyev, Oleg Yu. (2016): Triangle room paradox of negative probabilities of events. Published in: Proceedings of the XV FAMEMS2016 Conference and the Workshop on Hilbert's sixth problem, Krasnoyarsk, Russia (30 September 2016): pp. 9497.

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Abstract
Here an improved generalization of Feynman’s paradox of negative probabilities [1, 2] for observing three events is considered. This version of the paradox is directly related to the theory of quantum computing. Imagine a triangular room with three windows, where there are three chairs, on each of which a person can seat [4]. In any of the windows, an observer can see only the corresponding pair of chairs. It is known that if the observer looks at a window (to make a pairwise observation), the picture will be in the probabilistic sense the same for all windows: only one chair from the observed pair is occupied with a probability of 1/2, and there are never busy or free both chairs at once. Paradoxically, existing theories based on Kolmogorov’s probability theory do not answer the question that naturally arises after such pairs of observations of three events: «What is really happening in a triangular room, how many people are there and with what is the probability distribution they are sitting on three chairs?».
Item Type:  MPRA Paper 

Original Title:  Triangle room paradox of negative probabilities of events 
Language:  English 
Keywords:  Eventology, event, probability, triangle room paradox of negative probabilities, quantum computing, event as a superposition of two states. 
Subjects:  A  General Economics and Teaching > A1  General Economics > A10  General C  Mathematical and Quantitative Methods > C0  General C  Mathematical and Quantitative Methods > C0  General > C02  Mathematical Methods C  Mathematical and Quantitative Methods > C4  Econometric and Statistical Methods: Special Topics C  Mathematical and Quantitative Methods > C4  Econometric and Statistical Methods: Special Topics > C46  Specific Distributions ; Specific Statistics C  Mathematical and Quantitative Methods > C6  Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling C  Mathematical and Quantitative Methods > C6  Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling > C60  General C  Mathematical and Quantitative Methods > C6  Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling > C65  Miscellaneous Mathematical Tools Z  Other Special Topics > Z1  Cultural Economics ; Economic Sociology ; Economic Anthropology Z  Other Special Topics > Z1  Cultural Economics ; Economic Sociology ; Economic Anthropology > Z13  Economic Sociology ; Economic Anthropology ; Social and Economic Stratification 
Item ID:  81894 
Depositing User:  Prof Oleg Yu Vorobyev 
Date Deposited:  13 Oct 2017 09:34 
Last Modified:  26 Sep 2019 21:56 
References:  [1] R.P. Feynman. Simulating physics with computers. International Journal of Theoretical Physics, 21(6/7):467–488, 1982. [2] R.P. Feynman. Negative probability. in «Quantum implications»: Essays in honor of David Bohm, edited by B. J. Hiley and F. D. Peat, (Chap. 13):235–248, 1987. [3] B. A.W. Russell. History of Western Philosophy and its Connections with Political and Social Circumstances from the Earliest Times to the Present Day. George Allen & Unwin, London, 1946. [4] O. Yu. Vorobyev. Mathematical metaphysics is a shadow of forthcoming mathematics. In. Proc. of the V FAM Conf. pages 15–23, 2001. [5] O. Yu. Vorobyev. Theory of dual co~event means. In. Proc. of the XIV Intern. FAMEMS Conf. on Financial and Actuarial Mathematics and Eventology of Multivariate Statistics & the Workshop on Hilbert’s Sixth Problem, Krasnoyarsk, SFU (Oleg Vorobyev ed.):48–99, 2016; ISBN 9785990335868, https://www.academia.edu/34357251. [6] O. Yu. Vorobyev. Postulating the theory of experience and chance as a theory of co~events (co~beings). In. Proc. of the XIV Intern. FAMEMS Conf. on Financial and Actuarial Mathematics and Eventology of Multivariate Statistics & the Workshop on Hilbert’s Sixth Problem, Krasnoyarsk, SFU (Oleg Vorobyev ed.):28–47, 2016; ISBN 9785990335868, https://www.academia.edu/34373279. [7] O. Yu. Vorobyev. An elementset labelling a Cartesian product by measurable binary relations which leads to postulates of the theory of experience and chance as a theory of co~events. In. Proc. of the XIV Intern. FAMEMS Conf. on Financial and Actuarial Mathematics and Eventology of Multivariate Statistics & the Workshop on Hilbert’s Sixth Problem, Krasnoyarsk, SFU (Oleg Vorobyev ed.):11–27, 2016; ISBN 9785990335868, https://www.academia.edu/34390291. [8] L. Wittgenstein. Logischphilosophische abhandlung. Ostwalds Annalen der Naturphilosophie, 14:185–262, 1921. 
URI:  https://mpra.ub.unimuenchen.de/id/eprint/81894 