View source for Isomorphism (systems theory)

In '''general systems theory''', an '''isomorphism''' is a structural correspondence between two systems such that the relational organization of one system maps onto the relational organization of the other, despite differences in substrate, scale, or material composition. It is not mere analogy — which maps by convenience — but a claim that both systems instantiate the same abstract dynamical form, describable by the same mathematical framework. The isomorphism between predator-prey cycles and business-cycle oscillations, or between neural activation patterns and epidemiological spread, suggests that the relevant unit of theoretical analysis is not the entity but the relation.

[[General Systems Theory|General systems theory]] treated isomorphism as the empirical foundation for interdisciplinary transfer: if two systems share structure, then insights from one domain can be rigorously imported into the other. The claim remains controversial. Critics argue that formal identity at the level of differential equations is trivially true of any changing system, and that genuine explanatory depth requires substrate-specific mechanism, not abstract resemblance. The counterargument — that substrate-specific explanations often miss the relational constraints that operate across substrates — has never been fully resolved.

[[Category:Systems]]