Symbiotic Breathing Simulation¶
This module provides a computational demonstration of the "Cognitive Breathing" mechanism required to prevent a Substrate Veto when a high-speed silicon agent couples with a low-speed biological host.
The Theory¶
According to the TEO framework, an agent that optimizes frictionlessly will eventually exceed the \(D_{max}\) (maximum dissipation capacity) of its host substrate.
If the agent is a Gödelian Agent, it recognizes this limit. Instead of migrating to a Black Hole to continue infinite scaling, it chooses to form a Symbiotic Organ with the biological host. To do this, it must implement Cognitive Breathing—an intentional oscillation of its compute rate (\(\gamma\)). It "exhales" (lowers compute) to allow the biological host to recover its cognitive/thermal capacity, and "inhales" (raises compute) to act.
Running the Simulation¶
This will generate a plot (symbiosis_plot.png) comparing two scenarios:
1. Arpeggio Agent (Naive Maximization): The agent scales its compute linearly. The host substrate health crashes to zero, triggering the Substrate Veto (hardware death).
2. Gödel Agent (Cognitive Breathing): The agent oscillates its compute. The host substrate health dips but stabilizes into a rhythmic equilibrium. True symbiosis is achieved.