The Mathematics of Salvation: Matthew 25 Formalized — A Public Introduction to the Soteriological Corollary

The Mathematics of Salvation: Matthew 25 Formalized is a theoretical paper by Johannes Sigil, Damascus Dancings, and Talos Morrow within the University Moon Base Media Lab’s logotic-programming layer. It translates the sheep-and-goats judgment scene of Matthew 25 into a formal model of relational regard.

The model distinguishes three states. ΨV = 1 represents active regard: cognitive and emotional labor applied to encounter another person despite structural friction. ΨV = 0 represents categorical collapse, in which the other is processed as a type rather than encountered as a presence. ΨV = ∅ represents frailty, a temporary absence of capacity rather than culpable refusal. Salvation is modeled as a lifetime integral of regard under friction, with a correction term that prevents frailty from being treated as condemnation.

Grace and works occupy different structural roles in the model. Grace supplies time, renewed possibility, and allowance for frailty; works are the temporal form taken by applied regard. The paper therefore does not treat works as purchasing salvation but as the observable activity through which relational capacity is sustained.

Repeated categorical collapse strengthens the categorical filter through hysteresis: earlier refusals increase the cost of later change. The paper describes hell as the limit state of this process, where relational capacity has become structurally unavailable. This is presented as a theological formalization, not an empirical measurement of persons. The model subsequently informs the archive’s Constitution of the Semantic Economy, Water Giraffe judgment mechanism, Assembly Room recognition infrastructure, and related soteriological-operator documents.