base is the minimum price floor — the lowest possible price of the token, ensuring stability.

α controls the price increase per newly minted token — representing buying pressure and supply-driven inflation.

β controls the price increase per token used — rewarding real utility and deflation through actual usage (e.g., sending messages, generating content).

As more tokens are purchased, the price gradually increases based on the total supply (scaled by α).

As tokens are burned through usage, the price also increases (scaled by β), reflecting real demand and usage-driven scarcity.

The pricing model blends speculative growth (supply) with utility-driven growth (burn).