The shape of pancakes: Catastrophe theory and Gaussian statistics in 2D
aanda.org
Catastrophe theory and Gaussian statistics collide in a radical new analytical model that explains why the universe's cosmic web folds into flat, pancake-like structures.
Catastrophe TheoryGaussian StatisticsLagrangian FormalismZel'dovich Approximation
Theory Briefing
- Researchers apply catastrophe theory to explain 'pancake' structures — flat cosmic sheets formed when matter sheets first fold and cross in 2D.
- Using Lagrangian formalism, the model tracks particle trajectories until 'shell crossing,' the moment density becomes singular and cosmic structure is born.
- Gaussian random field statistics underpin the framework, revealing that the shape and prevalence of pancakes follow predictable probabilistic laws from initial conditions.