A Preliminary Formalism for Heterogeneous Value Conversion in the Generative Relational Framework

This discussion paper develops a preliminary formal language for heterogeneous value conversion within the Generative Relational framework. The motivating problem is the apparent simplicity of a conversion written as $A \rightarrow B$. In many economic, legal, institutional, and political settings, the values, value-bearing entities, conversion procedures, and conversion nomos are themselves historically generated within wider relational structures. A conversion therefore need not be understood as a direct mapping between two already constituted objects. It may instead be represented as a history in which entities are identified, relations become institutionally legible, operations extend or terminate relational structures, and later operations act on configurations already changed by earlier ones. The paper develops this representation in stages. It introduces higher-order event structures and a partial-order account of relational time; distinguishes accumulated history from active relational boundaries; and models observation, entity identification, generative transformation, and conversion through typed maps and partially defined operators. Concepts from 2-complexes, operator composition, field theory, and spin-foam models provide mathematical resources while the analysis maintains ontological suspension regarding their ultimate physical interpretation. Conversion is represented as a partially composable history of state-dependent operations, making room for branching and merging histories, co-generated value, attribution, order sensitivity, and compositional noncommutativity. The framework also treats conversion nomos as historically emergent and revisable, and separates descriptive stabilization from normative justification. A further layer accommodates theory-relative normative evaluation, judgment-induced operators, epistemic truncation, and an illustrative topological account of epistemic fidelity. The objective is representational rather than foundational. The paper does not propose a complete ontology of value, a universal algebra of conversion, or a substantive theory of conversion justice. It offers one preliminary architecture for making some of the relational, temporal, epistemic, institutional, and normative structure hidden by $A \rightarrow B$ explicit. Empirical parameterization, stronger operator-algebraic or categorical formulations, alternative higher-order representations, and domain-specific theories of justice remain open for further work.