PBX Protocol Documentation

PBX is the first financial instrument where investing in air quality and positioning for outsized upside are structurally the same action. Each listed region — Toronto, New York, Chicago at launch — has its own token trading against USDC in an AMM pool. A protocol-controlled rebalancing agent monitors real-time PM2.5 data and trades to enforce a single rule: each region's price should reflect its air quality relative to the others.

Cleaner air → price rises. Dirtier air → price falls.

Every trade generates fees that split three ways: one-third funds air quality improvement, one-third executes programmatic buyback-and-burn, and one-third funds protocol operations. The speculation is the impact mechanism.

PM2.5 concentrations swing 300–400% daily across multiple regions driven by rush hours, weather fronts, and seasonal shifts. That volatility, continuously priced on-chain for the first time, is what generates the trading volume that powers the mechanism.

The demand to trade on environmental data is not theoretical.

For each region i, the protocol defines two values: P_i (token price) and PM2.5_i (concentration). The efficiency score is computed as:

The goal is to keep efficiency scores aligned across all regions. When a region's efficiency is high — meaning it is underpriced for its air quality — the Agent buys it. When efficiency is low (overpriced), the Agent sells.

Sensitivity and Square-Root Dampening

The exponent −0.5 (square root) was chosen deliberately. It produces graduated responses without over-reacting to extremes:

• ~50% response for routine 4× daily swings
• ~42% dampening for noise in the clean band (5–15 µg/m³)
• ~68% weight drop for extreme events (10→100+ µg/m³)

PBX uses PM2.5 concentration directly — not the EPA's composite AQI. Raw concentration gives continuous, granular signal; the composite AQI bins readings into a coarser index that loses information at the margins.

Two tables illustrate how the rebalancing mechanism works in practice — from a symmetric baseline to a single-region air quality improvement.

Initial State — All Regions Equal

Scenario A — Toronto PM2.5 Drops

Toronto PM2.5 drops from 10 to 8 µg/m³. The Agent detects that Toronto is now underpriced relative to its improved air quality and buys TOR until efficiency scores re-align.

A 20% improvement in PM2.5 translates to an 11.8% price appreciation — the square-root dampening moderates the response proportionally.

The most demanding scenario is a correlated smoke event where all three regions spike simultaneously — but by different amounts. Under linear formula, relative spread would be ~20%. Under square-root dampening, spread compresses to ~9%.

Correlated Smoke Event

The dampening prevents correlated macro events from producing outsized price divergences that would distort the relative signal across regions.

PBX enforces relative efficiency balance. It does not cap absolute price level. If net inflows raise all prices while PM2.5 is stable, all prices rise together — the mechanism only acts when the ratio across regions diverges.

This means early liquidity providers benefit from both macro-level adoption growth (all prices up) and local air quality improvement (relative price up). The two return sources are structurally independent.

Fees compress as protocol market cap grows. This creates a competitive schedule that attracts high-volume traders at scale while maintaining impact funding at every tier.

PBX has two distinct user groups with different motivations — and both are essential to the flywheel.

The reinforcement loop: utility adopters raise the floor → higher floor means larger price swings on the same PM2.5 move → larger swings attract more speculators → more volume → more Air Fund contributions → better air quality → stronger narrative → more utility adopters.

Constant-product AMMs produce non-linear price appreciation relative to net inflow. The table below shows token price and growth multiples at various net inflow levels, starting from a $0.005 seed price.

These are AMM mechanics, not projections. The relationship is deterministic: in a constant-product pool, price is a function of the ratio of reserves.

Month-24 annual fee projections across three turnover scenarios. Turnover is defined as daily trading volume as a percentage of total market cap.

The beta observed figure is anchored to actual turnover rates observed in comparable early-stage environmental and prediction market tokens. It is not a best-case assumption.

PBX rests on three beliefs — each independently validated by existing market data.