Yuma Muranushi, Founder of il Inc., has officially published his 'Extended Imaginary Number Theory' on the international academic repository Zenodo. The paper proposes a conceptual framework that describes existence as a superposition of a 'real dimension (D)' and an 'imaginary dimension (iD),' represented as Z = D + iD. Unlike algebraic mathematics, this ontology focuses on the structural surplus (iD) accompanying manifest structures (D). Grounded in five core axioms, the theory bridges phenomenology, cognitive science, and complex systems. It serves as the foundational basis for Muranushi's upcoming research on articulation mechanisms and vowel operator theory.

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