Minimal Ontological Foundation for World-Formation (MOF v4.2)

Why do dimensionless quantities such as the fine-structure constant and particle mass ratios have the values they do? They are usually treated as empirically measured physical constants. However, if such quantities could be read out non-arbitrarily from finite structural closure conditions rather than merely taken as empirical inputs, then the prior question must be clarified: what is structural constraint? This record is a new version of the Minimal Ontological Foundation (MOF) series, reconstructed against that background. MOF v4.2 itself does not derive physical constants or numerical predictions. Its role is to define the ontological and descriptive foundation presupposed by the downstream framework called Finite Distinguishability Closure (FDC), which tests whether dimensionless quantities such as the fine-structure constant and particle mass ratios can be read out non-arbitrarily from finite structural closure. MOF v4.2 reconstructs the earlier MOF framework in light of the development of FDC. Earlier versions of MOF tended to describe the minimal basis of world-formation in terms of “properties of number” or closely related structures. In this version, that position is reorganized: the more fundamental notion of distinction-structure is formulated as the core of the minimal structural residue. This paper is not a generative account of what the world is made from. It does not place material substance, space, time, physical law, an observer, consciousness, or mathematical objects as the first entity. Rather, it presents an eliminative ontology that asks what cannot be removed if the world is to be described as a possible structure. The central thesis of the paper is that existence should be understood not as a material substance or generative mechanism, but as the “structure of constraint that survives elimination.” The core of the minimal structural residue is defined as distinction-structure: the inseparable structure in which distinction, identity, and relation hold together. Distinction-structure is not a cause that generates the world; it is a non-eliminable structural condition whose removal would collapse the very possibility of description. MOF v4.2 reorganizes the framework around the following points: - It formulates distinction-structure, rather than numerical properties, as the core of the minimal structural residue.- It positions the reality of constraint as formal reality rather than material reality.- It distinguishes global description from internal description, and organizes internal description as a single internal ledger.- It defines finite resolution not as a limitation of observational ability or as physical noise, but as a re-identification boundary within the internal ledger.- It clarifies that micro-differences may be unrecorded internally while remaining globally unexcluded.- It positions GSRS (Global Simultaneous Realization Structure) as non-temporal structural coexistence, not temporal branching or world multiplication.- It treats probability-form not as a probability measure or numerical rule, but as the form by which multiple admissible continuation candidates are retained as candidates and made comparable.- It defines descriptive closure and closure-preservation conditions as requirements for world-forming internal description.- It positions FDC not as a premise or proof of MOF, but as a downstream independent formal construction that tests whether the structural constraints fixed by MOF can appear as non-arbitrary closure within finite structural calculation. This upload includes the English manuscript PDF and its LaTeX source.