The Shape of Things

Scientific Geometry Taxonomy

Regime floor

Derived Derived at style sheet §1.8. Driver-side: a property of the system, not the instrument.

Source: Style sheet v22 §1.8 (and §1.5)

Definition (canon)

The condition ΔV < D ln(t_rel/τ₀), below which a node's bistability is erased by its own fluctuations and the sensor / load-bearing distinction has no observational content. Driver-side — a property of the system, not the instrument. Stated as a barrier condition, not as a value of β.

The erased set is a collar, not a band. The barrier vanishes at every fold line, so the erased region is a collar eroded inward from the whole wedge boundary. The band around the critical aperture is simply where the two collars meet and close the wedge off.

Formula typeset as plain text. D is the noise intensity in Kramers form (D = σ²/2), not the accumulated-damage variable of the embrittlement law.

In plain words

If the gap between two outcomes is smaller than the node's own jitter, the node crosses back and forth freely and neither outcome means anything to it.

It is not

  • The applicability floor: that one belongs to the observer.
  • An aperture band. Stating it as a band understates it.

What would defeat it

  • Follows from the definition. A node with ΔV below D ln(t_rel/τ₀) that is nonetheless observed occupying two distinguishable states.

Where it is carried

Ledger rows