刘慈欣在《三体》中描绘的混沌世界,早在一个世纪前就被庞加莱数学证明。三体文明面临的绝望,正是人类在混沌宇宙中的真实处境,确定性只是幻觉,不可预测才是常态...
参考资料:
[1] LASKAR J. Chaotic diffusion in the Solar System[J]. Icarus, 2008, 196(1): 1-15.
[2] POINCARÉ H. On the Three-body Problem and the Equations of Dynamics[M/OL]//The Kinetic Theory of Gases: Volume 1. PUBLISHED BY IMPERIAL COLLEGE PRESS AND DISTRIBUTED BY WORLD SCIENTIFIC PUBLISHING CO., 2003: 368-376.
[3] BARROW-GREEN J. Oscar II’s prize competition and the error in Poincaré’s memoir on the three body problem[J]. Archive for History of Exact Sciences, 1994, 48(2): 107-131.
[4] 梅拉妮·米歇尔. 复杂[M/OL].湖南科学技术出版社, 2011.
[5] LASKAR J. A numerical experiment on the chaotic behaviour of the Solar System[J]. Nature, 1989, 338(6212): 237-238.
[6] FEIGENBAUM M. Quantitative universality for a class of nonlinear transformations[J]. J. Stat. Phys., 1978, 19: 25-52.
[7] FEIGENBAUM M J. Quantitative universality for a class of nonlinear transformations[J]. Journal of Statistical Physics, 1978, 19: 25-52.
[8] SUSSMAN G J, WISDOM J. Chaotic Evolution of the Solar System[J]. Science, 1992, 257(5066): 56-62.
[9] LASKAR J, GASTINEAU M. Existence of collisional trajectories of Mercury, Mars and Venus with the Earth[J]. Nature, 2009, 459(7248): 817-819.
[10] [美]詹姆斯·格雷克. 混沌[M/OL]. 图灵|人民邮电出版社, 2021.
[11] TEUSCHER C. Revisiting the edge of chaos: Again? [J]. Biosystems, 2022, 218: 104693.