WEI

Ethereum’s smallest fundamental particle

Definition

1 wei = 10⁻¹⁸ ETH

Perceptible unit

10⁹ wei = 1 gwei

Preface

Ethereum is driven by its smallest units.

10⁹ wei form 1 gwei — the smallest unit most users ever notice in on‑chain gas. Every transaction, every contract call, and every new block is powered by billions of wei moving beneath the surface.

WEI is the collective form of these minimal particles.

WEI does not ask to be useful before it exists. It exists as a monetary primitive: reserve, curve, burn, and code.

Core philosophy

No team, no premine, no governance, no roadmap
No admin keys, no upgrade path, no centralized control
Once deployed, the contract immediately enters a no‑operator state
All rules run forever through math and code; no one can change them
WEI has a fixed emission ceiling, but its circulating supply is dynamic

How particles emerge

WEI is created through a Hyperbolic Coalescence Curve, implemented as a Uniswap V4 Hook.

Users have only two actions:

Mint — deposit ETH → release particles Burn — destroy WEI → return ETH

The reserve pool is what gives WEI substance. Every circulating WEI maps to real, non‑extractable ETH.

Condensation curve

WEI released when ETH reserve is R

M(R) = 10^{9} \cdot \frac{R}{R + 155.9}

Current mint price per WEI as a function of R

p(R) = \frac{155.9}{10^{9}} \left( 1 + \frac{R}{155.9} \right)^{2}

ETH received when burning b WEI

\Delta e(R,\, b) = 155.9 \cdot \left( \frac{M(R)}{K - M(R)} - \frac{M(R) - b}{K - M(R) + b} \right) \quad,\quad K = 10^{9}

Curve properties:

Early on, low reserves make coalescence easy
As reserves grow, difficulty rises sharply
At scale, mint cost becomes prohibitive and issuance stops naturally
Theoretical max release 1B tokens

Black hole mechanism

Each Mint or Burn charges a 0.1559% protocol fee; 100% is burned permanently (sent to the black hole), never to reserves.

Action	What happens
Mint	A portion of WEI is burned straight to the black hole (1559 Burn Path)
Burn	A proportional share of WEI is burned to the black hole (1559 Burn Path)

Every interaction reduces WEI supply in practice. One billion is the rule; burning is reality—circulating supply will fall below 1B.

Reserves are truth

The pool is 100% user‑deposited ETH. No synthetics, no leverage, no hidden operations.

All reserves are verifiable on‑chain—the sole anchor of WEI’s value.

Code is eternal

We premine no WEI. After deployment, all privileges are renounced.

Even if every creator disappears, WEI keeps running under the same rules.

That is all WEI means:

The smallest particle; the greatest autonomy.

10⁹ wei = 1 gwei. Every coalescence honors Ethereum’s essence.

Mint. Burn. Let the particles run.

Ethereum does not promise a fixed monetary surface.

It lets usage, burn, and issuance reshape supply over time.

WEI inherits this idea at the scale of a single Hook.

Contract info

Mainnet deployment

Token: 0xbf22c716169B057e07EFdF7A57Aac881259127A5
Hook: 0xF9F1f3072A077E86424D5aa3f2F42bC175C66888
Router: 0x8778Da25d4e6A731B14b40d626B768dd47eC003f
PoolManager: 0x000000000004444c5dc75cB358380D2e3dE08A90