Philosophies, Vol. 10, Pages 122: Tonal Isomorphism: A Methodology for Cross-Domain Mapping in the Generative Age

Philosophies doi: 10.3390/philosophies10060122

Authors:
Jonah Y. C. Hsu

This paper presents a methodological framework, Tonal Isomorphism (TI), derived from Tonal Meta-Ontology (TMO), focusing on operational protocols rather than ontological foundations. Tonal Isomorphism is framed as a meta-protocol rather than a metaphysical doctrine: its purpose is to provide a transferable logic that bridges disciplinary silos. We argue that knowledge breakthroughs can emerge not through trial-and-error experimentation alone, but through the isomorphic translation of tonal structures into domain-specific models. The methodology is demonstrated through three key contributions: (1) the Operationalization of Metaphysics, where tonal principles are expressed in executable forms such as the ToneWarp Equation and integrity-preserving responsibility chains; (2) the Unified Generative Field, a cross-domain modeling scaffold applicable to contexts ranging from arithmetic closure to digital trust protocols; and (3) the Generative Proof, which positions the methodology itself as a living demonstration of its claims, resistant to external mimicry. In an era defined by AI’s capacity for replication and simulation, Tonal Isomorphism offers a framework for knowledge generation where truth is not fixed discovery but a defensible, continuously enacted act of creation.

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Jonah Y. C. Hsu www.mdpi.com