Category: Science

Summary: Finding the inhibition level where a protected reservoir can no longer preserve a module-localized positive-growth mode in a modular autocatalytic network.

Autocatalytic systems can sustain organized growth through reinforcing reactions, and a protected reservoir may buffer that structure against damage. This experiment asks how much cross-module inhibition the system can absorb before even a reversible reservoir copy can no longer preserve a localized positive-growth mode.

The model builds dense symmetric block operators containing active catalytic species and protected reservoir counterparts. It uses GPU eigensolves, iterative deepening, and bisection on inhibition strength to locate the point where localized growth collapses.

That combines autocatalysis, inhibition, and reservoir buffering in one threshold problem. The result measures not just whether the system still grows, but whether it still grows in an organized modular way.

Method: GPU dense symmetric eigensolve with iterative deepening and bisection on inhibition strength in a coupled active-reservoir autocatalytic operator.

What is measured: Critical inhibition threshold, localization of the positive-growth mode, leading eigenvalue behavior, reservoir effects, and bracket width.