Category: Science

Summary: Finding the inhibition level where growth in a modular autocatalytic network stops being module-localized before overall growth vanishes.

Autocatalytic and RAF-style networks can sustain growth through mutually reinforcing reactions, but inhibition can weaken that structure in ways that are not captured by asking only whether the whole system still grows. This experiment instead asks when the dominant growth mode stops being concentrated inside a module and becomes delocalized across the network.

The script constructs dense symmetric operators for modular autocatalytic systems and bisects an inhibition parameter until the leading mode loses its module localization while remaining near the positive-growth regime. Iterative deepening tracks that collapse threshold across larger species counts.

That distinction matters because modular organization may fail before outright extinction does. The experiment therefore probes an earlier structural warning sign for loss of organized autocatalytic behavior.

Method: Dense symmetric eigensolve with iterative deepening and bisection on inhibition strength in a modular autocatalytic operator.

What is measured: Critical inhibition threshold, localization score, peak module mass, leading eigenvalue, positive-growth fraction, and bracket width.