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=== Correlation with [[Spiral Energy]] === '''Contrast and Complementarity:''' [[Spiral Energy]] and Dark Energy can be seen as complementary yet opposing forces within the ''Fusion Girl'' universe. [[Spiral Energy]] is a force that drives growth, evolution, and the overcoming of limits, while Dark Energy is associated with cosmic expansion that could lead to ultimate dissolution. In mathematical terms, [[Spiral Energy]] might be modeled as a positive feedback loop, enhancing the complexity and order of systems over time: <math> \frac{dC(t)}{dt} = \alpha \cdot C(t) \cdot \left(1 - \frac{C(t)}{K}\right) </math> where: * <math>C(t)</math> represents the complexity or order driven by [[Spiral Energy]], * <math>\alpha</math> is a growth rate constant, * <math>K</math> is the carrying capacity of the system. In contrast, Dark Energy contributes to the universe's expansion, potentially leading to a "Big Rip" where all structures are torn apart, reducing complexity: <math> \frac{dS(t)}{dt} = \beta \cdot S(t) \cdot \left(1 + \frac{S(t)}{L}\right) </math> where: * <math>S(t)</math> represents the entropy or disorder driven by Dark Energy, * <math>\beta</math> is an expansion rate constant, * <math>L</math> is a limiting factor for expansion. These equations illustrate how [[Spiral Energy]] and Dark Energy might interact: while [[Spiral Energy]] seeks to increase order and complexity, Dark Energy drives towards disorder and the potential unraveling of cosmic structures.
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