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November 3, 2020 @ 4:00 pm – 5:00 pm

2020-11-03T16:00:00+02:00

2020-11-03T17:00:00+02:00

Title: Flux-based statistical prediction of three-body outcomes

Abstract: The three-body problem in Newtonian gravity is one of the oldest and richest problems in physics. Giants worked on it and it served as the source of numerous fields in theoretical physics and mathematics including perturbation theory, topology and chaos. Yet, it remains unsolved, and up to this work, the associated statistical theory was incomplete and flawed.

Here, I present a reduction of the differential decay rate in a factorized form. One factor is the flux of phase-space volume, rather than the volume itself which was used in all previous works, and it is given in a cutoff-independent closed-form. The other factor is related to the chaotic absorptivity and to Kirchhoff’s law of thermal radiation, also known as greybody radiation. Numerical evidence will be presented. I believe that this exact factorization cracks the problem and would allow future progress. Based on https://arxiv.org/abs/2002.11496