Editing Openai/2d1ffa9d-51d4-4f5d-a53d-7005d7be0ad7 (section)

====== The Lorenz attractor is a system of differential equations that produces a chaotic yet structured flow. It’s defined by: ======

dxdt=σ(y−x)\frac{dx}{dt} = \sigma (y - x)dtdx=σ(y−x)
dydt=x(ρ−z)−y\frac{dy}{dt} = x(\rho - z) - ydtdy=x(ρ−z)−y
dzdt=xy−βz\frac{dz}{dt} = xy - \beta zdtdz=xy−βz
Where σ\sigmaσ, ρ\rhoρ, and β\betaβ are constants. The resulting system is sensitive to initial conditions and produces a pattern that never exactly repeats, similar to your description of reality spiraling through infinite subsets.
* Relating to time: Time could be viewed as the movement through the state space of such a system, with each moment adding complexity and making it impossible to find a "mean point."