The mathematical probability concept was set forth by Andrey
Nikolaevich Kolmogorov in 1933 by laying down a five-axioms system. This scheme
can be improved to embody the set of imaginary numbers after adding three new
axioms. Accordingly, any stochastic phenomenon can be performed in the set C of
complex probabilities which is the summation of the set R of real probabilities
and the set M of imaginary probabilities. Our objective now is to encompass
complementary imaginary dimensions to the stochastic phenomenon taking place in
the “real” laboratory in R and as a consequence to calculate in the sets R, M,
and C all the corresponding probabilities. Hence, the probability is
permanently equal to one in the entire set C = R + M independently of all the
probabilities of the input stochastic variable distribution in R, and
subsequently the output of the random phenomenon in R can be determined
perfectly in C. This is due to the fact that the probability in C is calculated
after the elimination and subtraction of the chaotic factor from the degree of
our knowledge of the nondeterministic phenomenon. My innovative Complex
Probability Paradigm (CPP) will be applied to the established theory of quantum
mechanics in order to express it completely deterministically in the universe C
= R + M.
Author(s) Details:
Abdo Abou Jaoudé,
Department of Mathematics and Statistics, Faculty of Natural and
Applied Sciences, Notre Dame University-Louaize, Lebanon.
Please see the link here: https://stm.bookpi.org/TPCPQM/article/view/13434
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