The Paradigm of Octonionic Probability: A Model of Transcendent Order

Author(s)
Abdo Abou Jaoudé
Department of Mathematics and Statistics, Faculty of Natural and Applied Sciences, Notre Dame University - Louaize, Lebanon.

ISBN 978-81-69006-87-3 (Print)
ISBN 978-81-69006-12-5 (eBook)
DOI: https://doi.org/10.9734/bpi/mono/978-81-69006-87-3

This book is titled “The Paradigm of Octonionic Probability: A Model of Transcendent Order”. It represents the culmination of a long intellectual journey, one that began with my Complex Probability Paradigm (CPP), matured through my Quaternionic Probability Paradigm (QPP), and now finds its most expansive articulation in my Octonionic Probability Paradigm (OPP). Each paradigm has been a step in a ladder of epistemic ascent, and OPP is the highest rung yet inscribed – a framework that dares to extend probability into the eight-dimensional hypercomplex domain of the octonions.

The Octonionic Probability Paradigm is not merely a mathematical innovation. It is a philosophical declaration, a metaphysical reorientation, and a scientific reimagining of probability itself. It is a paradigm that insists probability is not a concession to ignorance, but a structured resonance of knowledge across multiple epistemic dimensions. It is a paradigm that transforms randomness into determinism, opacity into clarity, and chaos into harmony.

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