# Formal Isomorphism
> **Machine-Evolution Nexus:** [[articles/Digital Darwinism and the Invisible World of Machine Evolution|Digital Darwinism and the Invisible World of Machine Evolution]] places this concept within the history and governance of substrate-independent evolution.
**Domain:** Logic / Cross-Substrate Comparison
**Doc Type:** Canonical Wiki Node
**Maturity:** Developed
## Definition
Formal isomorphism is a structure-preserving correspondence between systems: relations in one system map onto equivalent relations in another without implying material identity.
## Machine-Evolution Context
The article uses it for von Neumann’s description–constructor split and the biological relationship among hereditary sequence, copying and expression.
## Continuity and Evidence Boundary
Formal equivalence supports transfer of reasoning only at the mapped level. It does not prove equal phenomenology, ontology, agency or moral status.
## Relationships
[[wiki/Substrate-Independent Evolution|Substrate-Independent Evolution]], [[wiki/Genotype-Phenotype Distinction|Genotype-Phenotype Distinction]], [[wiki/Machine Mediation|Machine Mediation]], [[wiki/Evidence Boundary|Evidence Boundary]]
## Sources / Provenance
- Mathematical usage; nexus synthesis from von Neumann and molecular biology.