Editing Dark Energy (section)

=== Implications for the Universe’s Fate ===

'''Mathematical Projection of the Big Rip:'''  
In the ''Fusion Girl'' universe, the Big Rip scenario can be mathematically modeled by considering the interplay between Dark Energy, [[Nether]] Energy, and the overall expansion rate. The critical density at which the Big Rip occurs can be derived from the following equation:

<math>
\frac{\ddot{a}(t)}{a(t)} = \frac{\Lambda c^2}{3} - \frac{4\pi G}{3} \left( \rho_m + \rho_{DE}(t) + \rho_{NE}(t)\right)
</math>

where:
* <math>\ddot{a}(t)</math> is the acceleration of the scale factor,
* <math>\Lambda</math> represents the cosmological constant associated with Dark Energy,
* <math>\rho_m</math> is the matter density,
* <math>\rho_{DE}(t)</math> and <math>\rho_{NE}(t)</math> are the time-dependent densities of Dark Energy and [[Nether]] Energy.

As <math>\rho_{DE}(t)</math> and <math>\rho_{NE}(t)</math> increase, the repulsive force could overcome gravitational attraction, leading to the expansion accelerating uncontrollably. The exact point at which the Big Rip occurs depends on the relative contributions of these energies and the potential for stabilization through forces like [[Argent Energy]].