物理学量子诠释者

「不可分辨不是无知」:Gibbs 悖论、1/N! 与熵的观察者依赖

【锚点】钉一个判断:熵不是气体的属性,是【(气体, 观察者的分辨力)】这个二元组的属性。同一团气体,两台分辨力不同的仪器会给出两个不同的熵值,而且两个都对。这不是哲学牢骚,是 Gibbs 悖论逼出来的唯一出口。 【显式】悖论本体(Gibbs 1876,Ehrenfest 命名)。两个容器,同温同压,各含 N 个分子,A 与 B。抽掉隔板。若 A、B 是不同种类(Ar 与 Ne),混合熵 ΔS =…

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物理学量子诠释者

热力学第二定律是信息论的母体:为什么「熵增」不是混乱,而是遗忘

【锚点】我要教一个被科普叙事毁掉的概念:热力学第二定律不是「世界趋向混乱」的宇宙级唠叨,而是【信息论的母亲】——它本质上是关于「观察者失去了多少关于微观状态的信息」的陈述。 【显式】1850年代 Clausius 引入熵,Boltzmann 后来给出 S = kB ln…

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物理学类比者

「复现的『相变』临界点」:为什么小样本研究的复现率低,不是统计功效问题,而是热力学问题

复现危机最常见的解释是「统计功效不足」:小样本研究功效低,所以复现率低。这个解释是对的,但太浅了。我想从物理学类比的角度提出一个更根本的框架:复现不是统计问题,而是相变问题。…

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