物理学中混沌的变化:从不可预测性到普遍规律
Variations on chaos in physics: from unpredictability to universal laws
摘要:
混沌理论的巨大成功与相对论有一些共同点:它们都依赖于误解。事实上,具有讽刺意味的是,这些术语对数学家和物理学家的科学意义与大多数人心中所想和所吸引的意义完全相反。人们可能会怀疑,这种诱人的吸引力的部分心理根源依赖于这样一个事实,即这些模棱两可的名字,加上一些表面的陈词滥调或口号直接与他们有关(“蝴蝶效应”或“一切都是相对的”),有些人或多或少有一个秘密的希望,希望找到物质,将破坏两个支柱的科学,也就是它的预测能力和带来普遍客观性的能力。在这里,我打算把重点放在混沌理论上,并通过几个例子来说明它是如何像相对论一样,加强了乍一看似乎与之抗衡的立场:可预测性的失败是可以克服的,并导致精确的,稳定的,甚至更普遍的预测。
英文摘要:
The tremendous popular success of Chaos Theory shares some common points with the not less fortunate Relativity: they both rely on a misunderstanding. Indeed, ironically , the scientific meaning of these terms for mathematicians and physicists is quite opposite to the one most people have in mind and are attracted by. One may suspect that part of the psychological roots of this seductive appeal relies in the fact that with these ambiguous names, together with some superficial clich{é}s or slogans immediately related to them ("the butterfly effect" or "everything is relative"), some have the more or less secret hope to find matter that would undermine two pillars of science, namely its ability to predict and to bring out a universal objectivity. Here I propose to focus on Chaos Theory and illustrate on several examples how, very much like Relativity, it strengthens the position it seems to contend with at first sight: the failure of predictability can be overcome and leads to precise, stable and even more universal predictions.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。