"In a world where liquidity never sleeps, why should market curves stay fixed?"

1. Rethinking the Constant Product Paradigm

Since 2020, the Constant Product Market Maker (CPMM) $x \cdot y = k$ has powered DeFi's liquidity revolution.

But simplicity came at a cost: every swap distorts price curvature the same way, regardless of volatility or liquidity depth.

In other words:

• Small pools → too volatile
• Large pools → sluggish capital
• LPs bleed impermanent loss, and traders pay high slippage

Sliswap begins from a single insight:

💡 Markets aren't static — so why should their invariants be?

2. The Adaptive Invariant

Sliswap's core formula generalizes Uniswap's constant product into an adaptive invariant:

$$ I(x, y; s, c) = (sx + y - c)xy $$

where:

• $s$ = slope parameter tracking market bias
• $c$ = offset parameter scaling with liquidity

Together, they reshape the "curve" of the AMM dynamically.

Result: bounded curvature that adjusts to trading patterns in real time.