The concept of mathematical probability was established in
1933 by Andrey Nikolaevich Kolmogorov by defining a system of five axioms. This
system can be enhanced to encompass the imaginary numbers set after the
addition of three novel axioms. As a result, any random experiment can be
executed in the complex probabilities set C which is the sum of the real
probabilities set R and the imaginary probabilities set M. We aim here to
incorporate supplementary imaginary dimensions to the random experiment
occurring in the “real” laboratory in R and therefore to compute all the
probabilities in the sets R, M, and C. Accordingly, the probability in the
whole set C = R + M is constantly equivalent to one independently of the
distribution of the input random variable in R, and subsequently the output of
the stochastic experiment in R can be determined absolutely in C. This is the
consequence of the fact that the probability in C is computed after the
subtraction of the chaotic factor from the degree of our knowledge of the
nondeterministic experiment. 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/13432
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