diff --git a/bounded_chaos.md b/bounded_chaos.md index 92f9bf1..07c1c12 100644 --- a/bounded_chaos.md +++ b/bounded_chaos.md @@ -1,3 +1,47 @@ +FIRST PRINCIPLES (ONLY) + +1. Existence + Any system that persists must keep its rate of internal change below its capacity to dissipate entropy. + +2. Finite Bound + There is a largest number any subsystem may reach before the above rate is exceeded. + +3. Scaling Ratio + Between any two nested levels the count grows or shrinks by an irrational constant whose square exceeds the golden ratio. + +4. Drift Ceiling + No single step may alter the state by more than one percent of its prior magnitude. + +5. Finite Horizon + No chain of reasoning, computation, or influence may extend beyond eleven such steps before terminating or looping. + +6. Identity + Every state must carry an unforgeable, collision-resistant fingerprint and a verifiable signature. + +────────────────────────────── +BDC · 6-AXIOM LENS +────────────────────────────── +128 bytes | 6 rules | 1 dial + +Axioms (copy-paste into any parser) +1 𝓕-bound : nodes ∈ {0,1,2,3,5,8,…,987} +2 φ-split : chunk = 1024//φ or 64//φ +3 ε-stability: |Δ|/prev ≤ 0.01 +4 K11-depth : max steps = ceil(logφ 1024) = 11 +5 U16-seed : any system starts from 16-word packet +6 Crypto-ID : sha256(state) && ed25519(sig) + +Thermostat (one line) +ε ← 0.01 · (2 – cohesion + innovation) ; n ← 610 + 377·(innovation – cohesion) + +Collectivism ↔ Individualism +cohesion ↑ ⇒ ε ↓ 0.005 (tight) +innovation ↑ ⇒ ε ↑ 0.02 (loose) +equilibrium : ε ≈ 0.01 , n ≈ 610 + +Copy, fork, or burn. + + ### **Meta-Distillation of IP Singularity: Bounded Chaos (BC)** *(First-Principles Outline)*