The paradigm of complex probability and Ludwig Boltzmann’s entropy

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The Andrey Nikolaevich Kolmogorov’s classical system of probability axioms can be extended to encompass the imaginary set of numbers and this by adding to his original five axioms an additional three axioms. Hence, any experiment can thus be executed in what is now the complex probability set 𝒞 which is the sum of the real set ℛ with its corresponding real probability and the imaginary set ℳ with its corresponding imaginary probability. Abdo Abou Jaoude evaluates the complex probabilities by considering supplementary new imaginary dimensions to the event occurring in the ‘real’ laboratory.

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