..dark_5
constraint_surface
topological structure over state space.
forming a probability distribution that biases attentional trajectories, functioning as an attractor field rather than a deterministic mapping.
Compositions as constraint-surfaces.
A composition acts as a constraint-surface, inducing a probability landscape over high-dimensional attentional space. The composition functions neither as a rigid instruction set nor as a projection screen for catch-all subjective interpretation. It does not dictate trajectories, nor does it passively receive them. The composition is not in the attentional space but rather structures its probabilistic topology through which attention negotiates its own path: an arrangement of gradients, valleys, and barriers that makes certain paths more accessible than others.
Agency and influence.
The constraint-surface framework preserves attentional agency (the organism's freedom to navigate) while acknowledging compositional influence (the composition shapes probabilities). Modeling compositions as probability landscapes resolves the tension between objectivist acoustic determinacy and subjectivist attentional variability.
Probability landscapes.
The composition's motivic, temporal, harmonic, rhythmic, and textural qualities create accessibility gradients that make certain trajectories more likely than others. Different compositions establish different probability landscapes over attentional space. Compositional structure functions through attraction: harmonic progressions pull attention toward tonal regions, rhythmic organizations pace trajectories along certain paths, textural density establishes probability distributions of attentional focus. The composition becomes a probability landscape to be inhabited.
Probabilistic guidance.
The same organism encountering different compositions will almost certainly trace different trajectories because the probability gradients strongly favor certain regions over others. This probabilistic structure allows for deviation but with resistance: attention can traverse regions that challenge compositional pull (listening against the grain, focusing on peripheral elements, occupying unexpected attentional states), but doing so may require expending greater cognitive resources to overcome the probability gradients the composition establishes. Various phenomena (thoughts, environmental disturbances, organism state) introduce competing attractors that can pull attention in different directions. The composition is generative of likelihood, shaping which trajectories naturally emerge while leaving open the possibility of resistant paths. Even degenerate compositions (sine waves, white noise) establish constraint-surfaces, albeit with more trivial probability gradients than complex compositions. In this light, the composition functions less as object to be mastered than as structure inviting participation, where organisms are drawn into movement they do not fully control.
wrt enumeration of constraint surfaces
this is why drones are effective meditation objects
they are a non temporal constraint surface.
And so is the breath
because it repeats
so the constraint surface is short