The Paradigm of Sedenionic Probability: A Formulation of Continuous Order

Author(s)
Abdo Abou Jaoudé 
Notre Dame University–Louaizé, Zouk Mosbeh, Lebanon.

ISBN 978-81-687637-5-3 (Print)
ISBN 978-81-687637-4-6 (eBook)
DOI: https://doi.org/10.9734/bpi/mono/978-81-687637-5-3

This book is titled “The Paradigm of Sedenionic Probability: A Formulation of Continuous Order.” It represents not merely a continuation, but the end of the mathematical journey that began with the Complex Probability Paradigm (CPP), ascended through the Quaternionic Probability Paradigm (QPP), and reached its most expansive articulation in the Octonionic Probability Paradigm (OPP). Now, with the Sedenionic Probability Paradigm (SPP), probability itself is generalized into the sixteen-dimensional hypercomplex domain of the sedenions – a domain where my contribution achieves its most continuous and unbounded order.

The Sedenionic Probability Paradigm is more than a mathematical extension. It is a metaphysical development and a scientific reimagining of probability as continuous order. Where CPP revealed the imaginary complement, QPP unfolded the quaternionic triad, and OPP octonionized the probabilistic universe, SPP dares to generalize probability into the sedenionic continuum, introducing fifteen imaginary complements that dissolve the final boundaries between determinism and stochasticity.