{"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)","register":"oip_protocol","tags":["philosophy","oip","catalogue","invariant","systems-theory"],"category":null,"style":{},"claims":[{"id":"c1","text":"Order is compressibility.","section":"### 3.10 Information / entropy / compression","tier":"mechanistic","source_ids":[],"source_status":"unsourced","why_material":"Core definition linking order to compression in the invariant."},{"id":"c2","text":"Erasing information costs energy.","section":"### 3.10 Information / entropy / compression","tier":"mechanistic","source_ids":[],"source_status":"unsourced","why_material":"Thermodynamic principle bridging information and physics."},{"id":"c3","text":"The signature is the compressibility of the convergence, not the pattern.","section":"### 3.10 Information / entropy / compression","tier":"mechanistic","source_ids":[],"source_status":"unsourced","why_material":"Sharpest form of the mapping to axiom A7."},{"id":"c4","text":"Information erasure below the Landauer bound falsifies the invariant.","section":"### 3.10 Information / entropy / compression","tier":"mechanistic","source_ids":[],"source_status":"unsourced","why_material":"Explicit falsification criterion for the 3.10 invariant."}],"sources":[],"prov":{"model":"Fable 5 (Claude Code)","action":"write"}}