The Shape of Things

Scientific Geometry Taxonomy

Queue

Derived Derived (Substrate §8.7). It is a state, not a geometry, and not a type.

Source: Style sheet v22 §1.2 and §1.3 (Substrate §8.7)

Definition (canon)

What a sensor node does instead of folding when loop closure or steepness fails. No fold, no pivot, no hysteresis. A positive signature rather than a null: superlinear slowing with a diverging pool behind the step. Not a geometry — listed because it is what a reader finds when looking for one.

The pool diverges as S* ∝ μ^(−1/n) while relaxation diverges as τ ∝ μ^(−(1+1/n)), superlinear against the fold's sublinear [1/2, 1). A node observed queueing is reported as sensor node, queueing, which is a finding about the loop and not about the node.

In plain words

The step saturates, load stacks up behind it, and recovery gets slower, but with no feedback loop there is no tipping point and no second state to fall into.

It is not

  • Flicker. A node failing only condition (iii) flickers, with two-way motion between wells; a queue's pool rises monotonically. Both show no hysteresis, and they agree in nothing else.
  • Evidence of an approaching fold. Slowing alone licenses "something is saturating", not "this is about to flip".

What would defeat it

  • Follows from the definition. A node failing loop closure or steepness that shows hysteresis or two stable states.
  • Canon. The fold/queue exponent test (Dropzone §9, kill test 6) separates the two on the exponent.

Where it is carried

Ledger rows