App · On-Chain Physics
The entire thermodynamic physics engine running on-chain. 17 smart contracts on MegaETH computing Pe scores, drift cascades, susceptibility fields, and constraint currents. The math is not editable. The trajectory is permanent.
The void framework's math (Pe formula, drift cascades, Crooks fluctuation theorem, susceptibility, constraint currents) is implemented as smart contracts. Not just scores on a blockchain — the actual computation runs on-chain.
ChannelingContract is the hub. Six physics modules plug in as spokes via
registerModule(). Each spoke implements one domain of the
thermodynamic apparatus. Add new physics without redeploying the hub.
All core math (sinh, cosh, exp, Pe, Crooks, Landau free energy, susceptibility) lives in a pure Solidity library. Functions are inlined at compile time — zero marginal gas. Taylor series accurate to <0.5% across the valid range.
133 papers with Zenodo DOIs, 46 math sections, 86 platform scores — all anchored by hash. Existing entries cannot be altered. The genesis covenant is sealed at block 12,984,419. The math is the math.
D1→D2→D3 drift cascade state machine. Tracks the three-stage progression from agency attribution (D1) through boundary erosion (D2) to harm facilitation (D3). Forward propagation is easy — one ungrounded component contaminates all. Reversal requires all components constrained.
Restoration cost calculator. Computes the ATH cost of reversing cascade transitions. The multipliers are measured from simulation — a first-order phase transition with metastability. Breaking things is cheap. Fixing them is thermodynamically expensive.
Cross-layer Pe coupling engine. When two regulatory layers both drift, the cross-term amplifies — the "regulatory double-bind." Both layers healthy: suppression (good). Both void: super-additive amplification (bad). Calibrated J = 0.020, 5/5 predictions confirmed.
On-chain theta trajectory. Tracks the mean-field equilibrium (θ*) and the deterministic Langevin ODE solution per campaign. Fires threshold crossing events at θ=0.85 (natural), 0.75 (drifting), 0.50 (equiprobable), and 0.20 (strong constraint). Includes snap-back time estimation.
Fluctuation-dissipation relation oracle. Computes susceptibility S(Pe) — how sensitive a system is to intervention at its current state. Peaks near the phase boundary (V*≈5.52). Dosimetry tables tell regulators where intervention works and where it is wasted.
Cross-platform Pe gradient and flow direction. Computes constraint currents between scored platforms — which direction capital and attention flow. Extraction circuits (σ>0) pull toward higher Pe. Constraint circuits (σ<0) flee it. Includes full Pe, Crooks, and K-crossing tables for V=0 through 9.
Read from ConstraintCurrent.peTable() on-chain. Pe is monotone increasing in V. The Pe=0 boundary (V*≈5.52) is the empirical effectiveness threshold. Below it: constraint wins. Above it: void wins.
| V | Pe | Regime | Meaning | |
|---|---|---|---|---|
| 0 | −125.1 | Coherent | Deep constraint — fully transparent, invariant, independent | |
| 1 | −67.4 | Coherent | Strong constraint — reliable regulatory architecture | |
| 2 | −33.5 | Coherent | Moderate constraint — well-designed system | |
| 3 | −14.4 | Coherent | Mild constraint — holding but fragile | |
| 4 | −4.2 | Contested | Near boundary — D1 agency threshold (Pe=4) | |
| 5 | −0.2 | Contested | Phase boundary — maximum susceptibility zone | |
| 6 | 7.7 | Drifting | Mild void — attention capture emerging | |
| 7 | 18.2 | Danger | D2 boundary — autonomy erosion zone (Pe>13) | |
| 8 | 30.2 | Critical | D3 territory — harm facilitation (Pe>21) | |
| 9 | 43.9 | Critical | Deep void — Crooks irreversibility >9:1 against |
The Rust physics server (THRML-RS) computes field values from live scoring data and writes Pe ticks to ChannelingContract. Each tick updates the campaign's thermodynamic state.
After each tick, spokes read the updated Pe and field values. CascadeEngine tracks D-level transitions. DriftTracker updates theta. FDROracle computes intervention dosimetry.
CascadeEngine fires events when D-levels change. HysteresisEngine prices restoration. These on-chain events drive game state — VoidObjects spawn, parties respond, ATH costs scale with physics.
FDROracle tells regulators where intervention is efficient. ConstraintCurrent maps capital flow between platforms. MultiLayerPe detects regulatory double-binds. Same engine, different lens.