How does an empirical observation in an AI system link to the fundamental limits of the universe?
The Information-Theoretic Scaling
In our AI validation, we proved that . Here,
is time-cost and
is modular complexity (experts).
This same scaling logic applies to physical systems when we treat physical “structure” (like atomic arrangement or field configuration) as “modular experts” for information storage.
Connecting to the Bekenstein Bound
The Bekenstein bound states that a region of space can only contain a finite amount of information .
Under the ISL framing:
- The Bound is the point where structural complexity (
) reaches its maximum efficient density.
- The Schwarzschild Radius is the “Modular Limit” of space-time.
When a system attempts to pack more information into a volume than its “experts” (Planck-scale degrees of freedom) can manage, the existential cost () of maintaining that state spikes to infinity, forcing a structural collapse into a black hole—the most efficient encoder possible.
ISL provides the “why” behind the “limit”.