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Jonathan Rangel Castaño is a Colombian mathematician, physicist, and educator whose research focuses on the intersection of mathematics, theoretical physics, artificial intelligence, epistemology, and structural probability. He holds a Master's degree in Education and has developed an interdisciplinary research program that combines formal mathematical modeling with contemporary problems in scientific knowledge.
His work in theoretical physics introduces the Misk Transcendental Invariants, a geometric framework that investigates nuclear energy flows, effective curvature, and collective behavior in atomic nuclei through three structural invariants governing expansion, confinement, and global resonance. This research proposes an alternative geometric perspective for understanding nuclear dynamics and many-body systems.
In pure mathematics, he is the author of the Prime Dynamics research program, which studies the structural behavior of prime numbers through deterministic modular patterns, primal intervals, residual traces, stability indices, and probabilistic models. His work explores new approaches to understanding the internal organization of prime sequences from a structural rather than purely random perspective.
His research also extends into the philosophy of artificial intelligence and epistemology. He proposed The Infinite Archive Paradox of the Huila Tamale in the Twenty-First Century, an original thought experiment examining whether increasingly large digital archives and multiple artificial intelligence systems can converge toward a single objective truth. The paradox explores how different AI systems, despite analyzing legitimate and expanding datasets, may arrive at distinct yet rationally justified conclusions, raising fundamental questions about epistemic authority, cultural knowledge, and the nature of truth in the age of artificial intelligence.
Beyond mathematics and physics, Jonathan Rangel Castaño is committed to interdisciplinary scientific research carried out in collaboration with Indigenous communities in the Department of Cauca, Colombia. His work seeks to demonstrate that high-level contemporary research can emerge from diverse cultural and educational contexts while integrating mathematics, computational reasoning, and philosophical inquiry.
His long-term objective is to contribute to the development of new theoretical frameworks in mathematics, physics, probability, and artificial intelligence through rigorous formalization and interdisciplinary collaboration.
8 year
Colombian mathematician and educator with a Bachelor's degree in Mathematics and a Master's degree in Education.