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Triangle room paradox of negative probabilities of events

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  • Vorobyev, Oleg Yu.

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?».

Suggested Citation

  • Vorobyev, Oleg Yu., 2016. "Triangle room paradox of negative probabilities of events," MPRA Paper 81894, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:81894
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    File URL: https://mpra.ub.uni-muenchen.de/81894/1/MPRA_paper_81894.pdf
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    References listed on IDEAS

    as
    1. Vorobyev, Oleg Yu., 2016. "Postulating the theory of experience and chance as a theory of co~events (co~beings)," MPRA Paper 81892, University Library of Munich, Germany.
    2. Vorobyev, Oleg Yu., 2016. "An element-set 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," MPRA Paper 81891, University Library of Munich, Germany.
    3. Vorobyev, Oleg Yu., 2016. "The theory of dual co~event means," MPRA Paper 81893, University Library of Munich, Germany.
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    Cited by:

    1. Vorobyev, Oleg Yu., 2016. "Blyth’s paradox «of three pies»: setwise vs. pairwise event preferences," MPRA Paper 81897, University Library of Munich, Germany.

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    1. Vorobyev, Oleg Yu., 2016. "An element-set 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," MPRA Paper 81891, University Library of Munich, Germany.
    2. Vorobyev, Oleg Yu., 2016. "The theory of dual co~event means," MPRA Paper 81893, University Library of Munich, Germany.
    3. Vorobyev, Oleg Yu., 2016. "Postulating the theory of experience and chance as a theory of co~events (co~beings)," MPRA Paper 81892, University Library of Munich, Germany.
    4. Oleg Yu Vorobyev, 2018. "The logic of uncertainty as a logic of experience and chance and the co~event-based Bayes' theorem," Papers 1810.01310, arXiv.org.

    More about this item

    Keywords

    Eventology; event; probability; triangle room paradox of negative probabilities; quantum computing; event as a superposition of two states.;
    All these keywords.

    JEL classification:

    • A10 - General Economics and Teaching - - General Economics - - - General
    • C0 - Mathematical and Quantitative Methods - - General
    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • C4 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics
    • C46 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Specific Distributions
    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General
    • C65 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Miscellaneous Mathematical Tools
    • Z1 - Other Special Topics - - Cultural Economics
    • Z13 - Other Special Topics - - Cultural Economics - - - Economic Sociology; Economic Anthropology; Language; Social and Economic Stratification

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