Kasner billiard: Time-dependent billiard (from negative curvatures to positive curvature) with one accelerated particle (Billard de Kasner: Billard a geometrie variable (de courbures negatives a une courbure positive) avec une particule acceleree) {a chapter of 'Mathematics - A Virtual Instrument For Exploring Space Time And Beyond'}

Kasner billiard: Time-dependent billiard (from negative curvatures to positive curvature) with one accelerated particle [Billard de Kasner: Billard à géométrie variable (de courbures négatives à une courbure positive) avec une particule accélérée].

This simulation looks like the evolution of the Universe near the initial singularity (the so-called Big Bang). The Universe during the Kasner epochs (an epoch is a straight line between two rebounces) is described as a ball bouncing between the walls of a billiard whose curvature is initially negative (lower left picture: the trajectory is chaotic) and becomes positive (upper right picture: the trajectory is quasi-periodical) later. The consequence is that the initial state cannot be known...

(CMAP28 WWW site: this page was created on 09/04/2002 and last updated on 06/04/2026 23:35:44 -CEST-)

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