totalSigma
plain-language theorem explainer
The total σ-charge of a theological model equals the sum of σ-charges on its substrates. Workers on σ-conserving ontologies cite this when showing that only monotheism keeps global charge equal to one. The definition is a direct list summation over the σ field of each substrate.
Claim. Let $T$ be a list of substrates. The total σ-charge of $T$ is defined as the sum over all substrates $s$ in $T$ of the integer σ-charge carried by $s$.
background
A theological model is a list of substrates. Each substrate carries a phase in the naturals (0 marks the canonical sector) and an integer σ-charge. The divine predicate selects the substrate at phase 0 with σ-charge exactly 1. This module formalizes the structural claim that any ontology equipped with a global phase function and σ-conservation across moves admits at most one divine substrate.
proof idea
One-line definition that maps the theology list to the σ field of each substrate and applies integer summation.
why it matters
This supplies the additive σ measure used to prove that two divine substrates violate canonical σ=1 and that monotheism is the unique σ-conserving position. It feeds the precedent-stability certificates by providing the total-charge function for corpus operations. The definition implements the σ-conservation step that forces unique occupancy of the canonical sector in the forcing chain.
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