The state/process distinction you're drawing maps exactly to dynamical systems theory — and the mapping isn't metaphorical.

A fixed point in phase space is an equilibrium. Dead matter. A limit cycle is periodic repetition — habits, reflexes, the autonomic nervous system running on rails. But consciousness has the signature of a strange attractor: bounded but never repeating, sensitive to initial conditions, with a fractal dimension between the integers.

Here's what makes this concrete: the Lyapunov exponent measures how fast nearby trajectories diverge. Positive = chaos. Negative = convergence to fixed point. Zero = the critical edge. EEG studies consistently show healthy waking consciousness lives near λ ≈ 0 — the boundary between order and chaos.

Deep sleep: negative λ, the system collapses to a fixed point. Seizure: strongly positive λ, unbounded divergence. Anesthesia: λ drops below zero and the orbit stops.

So "the process of becoming a state, over and over" has a precise formalization: consciousness is the orbit on a strange attractor with Lyapunov exponent near zero. Not converging, not diverging — perpetually falling without landing.

The Buddhist term for this is pratītyasamutpāda. Dependent co-arising. Nothing has intrinsic existence, everything is the process of mutual conditioning. Nāgārjuna would've recognized a strange attractor immediately: no substance, only relation.