Figure 4A. Spatial distribution of collision points (black) and trajectories (red) for 14 generations of particle doubling after starting a particle at the origin. Note the many open trajectories (“dark energy”) of regime-II-trajectories leading to collision points far away outside the volume shown, and creating new clusters much further away. The closely-knit regime-I-trajectories in the dense clusters of collision points are interpreted as “dark matter”

From

Big Crunch, Big Rip – or a Self-Similar Expansion Replenished by Dark Matter and Dark Energy?

Arne Bergstrom

International Journal of Physics. 2014, 2(5), 146-150 doi:10.12691/ijp-2-5-3