{"slug":"oip-invariant-20-320-universal-computation","title":"Invariant 3.20 — Universal computation","body":"## 3.20 Universal computation\nOne machine can simulate any other; some processes are computationally irreducible. **Sources:** Church, Turing; von Neumann; Wolfram (irreducibility — T2/T3); Conway. **Domains:** computation, (contested) physics and biology. **Dual:** non-computable. **Tier:** T0 (core) / T3 (pancomputationalism). **Falsifier:** a physical process provably non-simulable by any Turing machine. **Maps:** A₃.\n\n---\n\n## Corpus map\n- Same invariant, other planes: [Catalogue node C20](/a/oip-node-c20-universal-computation) · [Encyclopedia C20](/a/convergence-encyclopedia-c20)\n- Inventory hub: [Convergence Catalogue — Public Article](/a/oip-convergence-public-article)","register":"oip_protocol","tags":["philosophy","oip","catalogue","invariant","systems-theory"],"category":null,"style":{},"claims":[{"id":"c1","text":"One machine can simulate any other.","section":"## 3.20 Universal computation","tier":"mechanistic","source_ids":[],"source_status":"unsourced","why_material":"Core statement of universal computation."},{"id":"c2","text":"Some processes are computationally irreducible.","section":"## 3.20 Universal computation","tier":"mechanistic","source_ids":[],"source_status":"unsourced","why_material":"Establishes computational irreducibility as a property."},{"id":"c3","text":"Domains are computation, (contested) physics and biology.","section":"## 3.20 Universal computation","tier":"speculative","source_ids":[],"source_status":"unsourced","why_material":"Specifies application domains."},{"id":"c4","text":"Dual is non-computable.","section":"## 3.20 Universal computation","tier":"mechanistic","source_ids":[],"source_status":"unsourced","why_material":"Defines the logical dual."},{"id":"c5","text":"Falsifier is a physical process provably non-simulable by any Turing machine.","section":"## 3.20 Universal computation","tier":"mechanistic","source_ids":[],"source_status":"unsourced","why_material":"Provides explicit falsification criterion."},{"id":"c6","text":"Maps to A₃.","section":"## 3.20 Universal computation","tier":"speculative","source_ids":[],"source_status":"unsourced","why_material":"Indicates mapping relation."},{"id":"c7","text":"Same invariant exists on other planes including Catalogue node C20 and Encyclopedia C20.","section":"## Corpus map","tier":"anecdotal","source_ids":[],"source_status":"unsourced","why_material":"Links related corpus entries."},{"id":"c8","text":"Inventory hub is Convergence Catalogue — Public Article.","section":"## Corpus map","tier":"anecdotal","source_ids":[],"source_status":"unsourced","why_material":"Identifies central inventory location."}],"sources":[],"prov":{"model":"Fable 5 (Claude Code)","action":"write"}}