Editing Spiral Nemesis (section)

=== Instability and Collapse ===
To understand how this exponential growth leads to instability, we must consider the concept of carrying capacity, which represents the maximum energy or matter the universe can sustain before it becomes unstable. Let <math>K</math> represent this carrying capacity.

As Spiral Energy approaches this carrying capacity, the system begins to exhibit signs of instability. This can be modeled using the logistic growth equation:

<math>
\frac{dP(t)}{dt} = r \cdot P(t) \left(1 - \frac{P(t)}{K}\right)
</math>

where:
* <math>r</math> is the intrinsic growth rate,
* <math>K</math> is the carrying capacity.

Initially, when <math>P(t)</math> is much less than <math>K</math>, the growth is approximately exponential. However, as <math>P(t)</math> approaches <math>K</math>, the growth rate slows, and the system becomes more prone to fluctuations and instability.

In a universe driven by Spiral Energy, if the energy exceeds this threshold, the feedback loop could cause the energy to spike uncontrollably, leading to a "supercritical" state. This state is analogous to what happens in certain physical systems, like a nuclear reactor going supercritical, where uncontrolled reactions lead to catastrophic outcomes.