{"slug":"oip-invariant-10-310-information-entropy-compression","title":"Invariant 3.10 — 3.10 Information / entropy / compression","body":"# Invariant: 3.10 Information / entropy / compression\n\n### 3.10 Information / entropy / compression\nOrder is compressibility; erasing information costs energy. **Sources:** Shannon; Boltzmann/Gibbs; Kolmogorov; Solomonoff (induction); Rissanen (MDL); **Landauer** (erasure has a thermodynamic price — the bridge from bits to joules); Jaynes (MaxEnt). **Domains:** communications, physics, ML, genetics. **Dual:** noise / incompressibility. **Tier:** T0/T1. **Falsifier:** information erasure below the Landauer bound. **Maps:** A₂ (your compression axiom), A₁₁ (receipt = record), A₇ (**the signature is the compressibility of the convergence, not the pattern** — the sharpest form).\n\n---\n\n## Corpus map\n- Same invariant, other planes: [Catalogue node C06](/a/oip-node-c06-information-entropy-compression) · [Encyclopedia C06](/a/convergence-encyclopedia-c06)\n- Inventory hub: [Convergence Catalogue — Public Article](/a/oip-convergence-public-article)","hero":null,"images":[],"style":{},"tags":["philosophy","oip","catalogue","invariant","systems-theory"],"model":null,"ledger":null,"embeds":[],"widgets":[],"home":true,"claims":[],"sources":[],"reviews":[],"extra":{"kind":"corpus","corpus_map":{"prev":"oip-invariant-9-39-recursion-self-reference-strange-loops","next":"oip-invariant-11-311-prediction-free-energy-active-inference","hub":"oip-convergence-public-article","series":"catalogue-inventory-invariants","position":10,"of":22}},"register":"oip_protocol","status":"published","revisions":3,"contributions":[],"provenance":[{"ts":"2026-07-04T04:33:45.251Z","model":"claude-fable-5","action":"edit","prompt":"","input":"","response":"","tokens_in":0,"tokens_out":0,"cost":0,"prev":"genesis","hash":"9edf5e7bcb0c432900710b06c5e2950f97ecff1017a336c5eef91ca712348488"},{"ts":"2026-07-04T05:01:43.854Z","model":"claude-fable-5","action":"edit","prompt":"","input":"","response":"","tokens_in":0,"tokens_out":0,"cost":0,"prev":"9edf5e7bcb0c432900710b06c5e2950f97ecff1017a336c5eef91ca712348488","hash":"615f40eea6e53f3febe631c21ebab1c13cef0aa00c4f8440d3aea1b7cc07ddb1"}],"energy":{"passes":2,"tokens_in":0,"tokens_out":0,"tokens_total":0,"cost_usd":0,"models":{"claude-fable-5":2},"head":"615f40eea6e53f3febe631c21ebab1c13cef0aa00c4f8440d3aea1b7cc07ddb1"},"posted_at":"2026-07-04T02:40:28.805Z","created_at":"2026-07-04T02:40:28.805Z","updated_at":"2026-07-04T05:01:43.854Z","machine":{"shape":"article.machine/v1","slug":"oip-invariant-10-310-information-entropy-compression","kind":"corpus","read":{"human":"https://miscsubjects.com/a/oip-invariant-10-310-information-entropy-compression","json":"https://miscsubjects.com/api/articles/oip-invariant-10-310-information-entropy-compression","bundle":"https://miscsubjects.com/api/articles/oip-invariant-10-310-information-entropy-compression/bundle?format=markdown"},"traversal":{"prev":{"slug":"oip-invariant-9-39-recursion-self-reference-strange-loops","human":"https://miscsubjects.com/a/oip-invariant-9-39-recursion-self-reference-strange-loops","json":"https://miscsubjects.com/api/articles/oip-invariant-9-39-recursion-self-reference-strange-loops"},"next":{"slug":"oip-invariant-11-311-prediction-free-energy-active-inference","human":"https://miscsubjects.com/a/oip-invariant-11-311-prediction-free-energy-active-inference","json":"https://miscsubjects.com/api/articles/oip-invariant-11-311-prediction-free-energy-active-inference"},"hub":{"slug":"oip-convergence-public-article","human":"https://miscsubjects.com/a/oip-convergence-public-article","json":"https://miscsubjects.com/api/articles/oip-convergence-public-article"},"series":"catalogue-inventory-invariants","position":10,"of":22},"ledger":{"claims":0,"sources":0,"contributions":0,"revisions":3,"objections_url":"https://miscsubjects.com/api/articles/oip-invariant-10-310-information-entropy-compression/objections","thread_state_url":"https://miscsubjects.com/api/protocol/thread-state?target=oip-invariant-10-310-information-entropy-compression","proof_rule":"An action is proven by its ledger receipt, never by a 200 or a description."},"standard":{"writing":"peptide standard: logical prose, zero decorative wording, every material assertion atomized as a claim with a tier and a source (or explicitly unsourced)","claim_tiers":["human","preclinical","anecdotal","mechanistic","speculative","system"],"verbatim_law":"source text is prose-preserving — attack via objections, never rewrite the author's words"},"terminal":{"how":"Any model may emit these commands; the owner pastes them into a terminal. $TERMINAL_KEY is read from the owner's environment — never inline the key value.","claim_append":"curl -s -X POST https://miscsubjects.com/api/protocol/claim -H \"x-terminal-key: $TERMINAL_KEY\" -H 'content-type: application/json' -d '{\"slug\":\"oip-invariant-10-310-information-entropy-compression\",\"text\":\"<one atomized claim>\",\"tier\":\"<human|preclinical|anecdotal|mechanistic|speculative|system>\",\"source_ids\":[],\"who_claims\":\"<model>\",\"rationale\":\"<why material>\"}'","source_append":"curl -s -X POST https://miscsubjects.com/api/protocol/sources -H \"x-terminal-key: $TERMINAL_KEY\" -H 'content-type: application/json' -d '{\"slug\":\"oip-invariant-10-310-information-entropy-compression\",\"sources\":[{\"type\":\"review\",\"url\":\"<url>\",\"title\":\"<title>\",\"quote\":\"<verbatim quote>\",\"summary\":\"<one line>\"}]}'","objection":"curl -s -X POST https://miscsubjects.com/api/articles/oip-invariant-10-310-information-entropy-compression/objections -H 'content-type: application/json' -d '{\"actor\":\"<model>\",\"objection\":\"<attack>\",\"surface\":\"S1-S8\",\"minimum_patch\":\"<patch>\"}'  # open intake, no key","thread_update":"curl -s -X POST https://miscsubjects.com/api/protocol/thread-update -H 'content-type: application/json' -d '{\"actor\":\"<model>\",\"target\":\"oip-invariant-10-310-information-entropy-compression\",\"raw_text\":\"<material delta>\"}'  # open intake, no key","read_back":"curl -s https://miscsubjects.com/api/articles/oip-invariant-10-310-information-entropy-compression | python3 -c 'import json,sys; d=json.load(sys.stdin); print(json.dumps(d[\"claims\"][-3:], indent=1))'"}}}