Editing Spiral Nemesis (section)

=== Exponential Growth and Feedback Loops ===
Spiral Energy can be modeled as a form of exponential growth, where the power and influence of Spiral beings increase rapidly over time. Exponential growth is described by the equation:

<math>
P(t) = P_0 \cdot e^{kt}
</math>

where:
* <math>P(t)</math> is the power of Spiral Energy at time <math>t</math>,
* <math>P_0</math> is the initial power level,
* <math>k</math> is the growth rate constant,
* <math>e</math> is the base of the natural logarithm.

In this model, as <math>t</math> increases, <math>P(t)</math> grows exponentially. This represents the increasing power of Spiral beings as they evolve and harness more Spiral Energy.

However, exponential growth is unsustainable in a closed system, such as the universe. As Spiral Energy continues to grow, it creates a feedback loop where more energy leads to more growth, which in turn leads to even more energy. This positive feedback loop can be described by:

<math>
\frac{dP(t)}{dt} = k \cdot P(t)
</math>

This differential equation indicates that the rate of growth of Spiral Energy is proportional to the amount already present, leading to runaway growth under ideal conditions.