The Triune Commutation: Co-Enfolding of Semantic, Computational, and Physical Domains
Year: 2025
Type: article
Abstract: We state and prove a commutation law on invariants that makes “mutual enfolding”operational: when a Fisher–class invariant I survives sheaf gluing (G) and renormalization(R) under a translation–compression adjunction T ⊣ C, the three legs—meaning ↔ code ↔matter—commute. We identify a nontrivial subcategory of idioms with Idiomatic Univalencewhere equality of the invariant and hazard exponents implies isomorphism. The maindeliverables are: a Renderability Lemma (fixed point in one leg implies realizability in theother two at bounded Murphy cost), a Conservation of Insight Flux (positive curvaturejumps are invariant under idiom translation), and a Spectral Teleology formula (purposeas the Perron–Frobenius mode of a tilted operator with derivative under resource rotation).We give falsifiers, instruments, and cross-domain exemplars.
Author: Elliott, Jacob Alexander
Language: English
Subfield: Artificial Intelligence
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7085457296
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