iridescence
iridescence
Author's Note
Iridescence was developed using the code of strange attractors
Apparently something called the lorenz equations describe how in many dynamic systems, a strange attractor creates a set of points in space that the system gravitates towards over time. It only appears to loop because of recursion, where it refers to itself to develop its next steps. Compared to a free particle, attractors' system trajectories grow dense, drawing towards certain regions without diverging forever, while still not settling into any fixed points or cycles. Two particles starting extremely close together, for example, could diverge in their paths yet stay within the same swirling structure. The result is a motion that looks like a folding pattern, like butterfly wings. The use of strange attractors in this chapter highlights the loop that is developing, one of becoming that is never the same twice, but only appears so because it is bound to refer to itself and the density it has created
t₀ — Inflection
ψ(x,t)=Aei(kx−ωt)\psi(x, t) = Ae^{i(kx - \omega t)}ψ(x,t)=Aei(kx−ωt)
This is the wave function of a free particle—its probability amplitude spread across space and time, unconstrained by any potential energy.
t₁ — Ascent
dxdt=σ(y−x),dydt=x(ρ−z)−y,dzdt=xy−βz\frac{dx}{dt} = \sigma(y - x), \quad \frac{dy}{dt} = x(\rho - z) - y, \quad \frac{dz}{dt} = xy - \beta zdtdx=σ(y−x),dtdy=x(ρ−z)−y,dtdz=xy−βz
These are the Lorenz equations—describing a deterministic system with chaotic, sensitive dependence on initial conditions that form what is known in physics as "strange attractors" (see author's note)
t₂ — Bloom / Loop
x(t+T)≈x(t)+ϵx(t + T) \approx x(t) + \epsilonx(t+T)≈x(t)+ϵ, where ϵ→0\epsilon \rightarrow 0ϵ→0
This expresses recurrence in chaotic systems—trajectories that return close to prior states but never exactly repeat, revealing fractal memory.
