The Wu-Wei Crypticity Theorem: Pricing Forcing as Crypticity in Landauer-Intelligence-Bound Units (the Mirror)
Abstract
Standalone record of the Viridis Canon — Stewardship & Governance / Alignment series (S4). Core IB spine unchanged (frozen at v9). Proves the Wu-Wei Crypticity Theorem (WWCT, ‘the Mirror’, 15th Intelligence-Bound self-application). Gives forcing (the antonym of wu wei) a physical state variable — the crypticity χ = Cμ − E ≥ 0 of a predictive model, the stored memory its own future never reads. Lean 4 (Aristotle 7943bbf3, 8 theorems, zero sorry, axioms ⊆ {propext, Classical.choice, Quot.sound}, each with a load-bearing non-vacuity clause) certifies: χ ≥ 0; a forcing-dissipation floor σ ≥ kBT ln2·χ̇; the IB crypticity debit dE/dt ≤ P·D/(kBT ln2) − χ̇; harmonization efficiency η=E/Cμ ∈ [0,1]; quantum crypticity ≤ classical; a zero-crypticity ↔ causal-reversibility biconditional; certification overhead ≥ χ; and the Mirror ceiling (χ̇=0 converts all IB headroom to prediction). Working paper; not peer-reviewed.
Fields of Study & Subjects
Quantum Mechanics and Applications
Computability
Logic
AI Algorithms
Multidisciplinary Warburg-centric Studies
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 20 June 2026
- Language
- EN
- Document type
- Preprint