This book introduces a novel synthesis between the Complex
Probability Paradigm (CPP) and Monté Carlo Methods, establishing a foundational
framework for probabilistic simulation that transcends classical stochastic
boundaries. This originated CPP reconceptualizes probability as a
multi-dimensional epistemic field, wherein real, imaginary, and semantic
components coalesce to encode uncertainty and observer entanglement. When
applied to Monté Carlo Methods, CPP transcends classical randomness by
embedding each stochastic trial within a complex-valued probability field.
Additionally, CPP redefines the sampling space as a metarelational manifold,
enabling simulations to incorporate not only statistical variance but also
ontological depth and interpretive multiplicity. This paradigm shift invites a
reexamination of randomness, convergence, and inference, positioning Monté
Carlo Methods not merely as computational tools but as vehicles for epistemic
exploration. By embedding CPP within the stochastic machinery of simulation, we
inaugurate a generative modality for probabilistic reasoning – one that honors complexity
and opens new pathways for transdisciplinary inquiry. Therefore, this paradigm
shift opens new frontiers in applied mathematics, semantic physics, and the
philosophy of simulation, positioning CPP as both a theoretical upgrade and a
generative engine for scientific transmission.
Author(s) Details
Dr. Abdo Abou Jaoudé
Department of Mathematics and Statistics, Faculty of Natural
and Applied Sciences, Notre Dame University-Louaize, Lebanon.
Please see the book here :- https://doi.org/10.9734/bpi/mono/978-93-88417-28-0
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