Why is our universe stable? Why doesn’t it collapse into a singularity or dissolve into white noise?
The answer lies in the Inverse Scaling Law (ISL) exponent, .
The Stability Equation
We define the Trust (Stability) of any object as:
Where Risk () scales with Complexity (
) according to the exponent
:
Case 1: The Overflow Universe (
)
If , Risk grows slower than Complexity.
As you build more complex objects (humans, stars, galaxies), the “Cost” to the system becomes negligible compared to the “Gain.”
Result: The kernel permits objects of Infinite Complexity.
* Outcome: Singularity Leak. The simulation crashes due to buffer overflow. (Gabriel’s Horn Paradox).
Case 2: The Null Universe (
)
When , Risk scales linearly with Complexity.
This is the only state where Information Density is Bounded but Complexity is Unbounded. This is why we have a Heisenberg Limit (Linear scaling of ) but can still build a starship.
Conclusion
is not an arbitrary constant. It is the Stability Fixed Point of any self-governing reality.