Chaotic motion of three-body problem : an origin of macroscopic randomness of the universe
arXiv:1304.2089 · doi:10.1016/j.cnsns.2013.07.008
Abstract
The famous three-body problem is investigated by means of a numerical approach with negligible numerical noises in a long enough time interval, namely the Clean Numerical Simulation (CNS). From physical viewpoints, position of any bodies contains inherent micro-level uncertainty. The evaluations of such kind of inherent micro-level uncertainty are accurately simulated by means of the CNS. Our reliable, very accurate CNS results indicate that the inherent micro-level uncertainty of position of a star/planet might transfer into macroscopic randomness. Thus, the inherent micro-level uncertainty of a body might be an origin of macroscopic randomness of the universe. In addition, from physical viewpoints, orbits of some three-body systems at large time are inherently random, and thus it has no physical meanings to talk about the accurate long-term prediction of the chaotic orbits. Note that such kind of uncertainty and randomness has nothing to do with the ability of human being. All of these might enrich our knowledge and deepen our understandings about not only the three-body problem but also chaos.
19 pages, 17 figures
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Cited by in corpus (23)
- On the mathematically reliable long-term simulation of chaos of Lorenz equation in the interval [0,10000]
- More than six hundreds new families of Newtonian periodic planar collisionless three-body orbits
- The 1223 new periodic orbits of planar three-body problem with unequal mass and zero angular momentum
- On the risks of using double precision in numerical simulations of spatio-temporal chaos
- Collisionless periodic orbits in the free-fall three-body problem
- Three-body problem -- from Newton to supercomputer plus machine learning
- Large-scale influence of numerical noises as artificial stochastic disturbances on a sustained turbulence
- Ultra-chaos: an insurmountable objective obstacle of reproducibility and replicability
- Accurate predictions of chaotic motion of a free fall disk
- A kind of Lagrangian chaotic property of the Arnold-Beltrami-Childress flow
- Is a direct numerical simulation (DNS) of Navier-Stokes equations with small enough grid spacing and time-step definitely reliable/correct?
- A commend on "Three Classes of Newtonian Three-Body Planar Periodic Orbits" by Šuvakov and Dmitrašinović (PRL, 2013)
- On the inherent self-excited macroscopic randomness of chaotic three-body system
- One family of 13315 stable periodic orbits of the non-hierarchical unequal-mass triple system
- A comment on the arguments about the reliability and convergence of chaotic simulations
- Extreme Gravitational Interactions in the Problem of Three Black Holes in General Relativity
- A Self-Adaptive Algorithm of the Clean Numerical Simulation (CNS) for Chaos
- Influence of round-off errors on the reliability of numerical simulations of chaotic dynamic systems
- On the fractal dimension of the Duffing attractor
- An efficient approach for searching three-body periodic orbits passing through Eulerian configuration
- Forward period analysis and the long term simulation of a periodic Hamiltonian system
- The influence of numerical noises on statistics computation of chaotic dynamic systems
- Clean Numerical Simulation: A New Strategy to Obtain Reliable Solutions of Chaotic Dynamic Systems