# Invariant 3.10 — 3.10 Information / entropy / compression

slug: oip-invariant-10-310-information-entropy-compression · https://miscsubjects.com/a/oip-invariant-10-310-information-entropy-compression · tags: philosophy, oip, catalogue, invariant, systems-theory · updated 2026-07-17T02:36:13.673Z

# Invariant: 3.10 Information / entropy / compression

### 3.10 Information / entropy / compression
Order 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).

---

## Corpus map
- Same invariant, other planes: [Catalogue node C06](/a/oip-node-c06-information-entropy-compression) · [Encyclopedia C06](/a/convergence-encyclopedia-c06)
- Inventory hub: [Convergence Catalogue — Public Article](/a/oip-convergence-public-article)