Dr Faustus of Modern Physics - Department of Speech, Music and ...
Dr Faustus of Modern Physics - Department of Speech, Music and ...
Dr Faustus of Modern Physics - Department of Speech, Music and ...
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158 CHAPTER 34. STATISTICS: BOLTZMANN<br />
34.4 Sommerfeld<br />
• Thermodynamics is a funny subject. The first time you go through it,<br />
you dont underst<strong>and</strong> it at all. The second time you go through it, you<br />
think you underst<strong>and</strong> except a few small points. The third time you go<br />
through it, you know that you dont underst<strong>and</strong> it, but by that time you<br />
are so used to it, that it doesnt bother you any more. (Sommerfeld).<br />
34.5 Loschmidt<br />
• There is apparently a contradiction between the law <strong>of</strong> increasing enropy<br />
<strong>and</strong> the principles <strong>of</strong> Newtonian mechanics, since the latter do not<br />
recognize any difference between past <strong>and</strong> future times. This is the socalled<br />
reversibility paradox (Umkehreinw<strong>and</strong>) which was ad- vanced as<br />
an objection to Boltzmann’s theory by Loschmidt 1876-77. (Translators<br />
foreword to Lectures on Gas Theory by Boltzmann [3]).<br />
34.6 Bohr<br />
• In my impudent way I would say that...no one...not even the dear Lord<br />
himself - can know what an expression like throwing a dice means.<br />
34.7 Feynman<br />
• Where does irreversibility come from? It does not come form Newton’s<br />
laws. Obviously there must be some law, some obscure but fundamental<br />
equation. perhaps in electricity, maybe in neutrino physics, in which it<br />
does matter which way time goes. (The Feynman Lectures on <strong>Physics</strong><br />
1963)<br />
34.8 Various<br />
• The 2nd Law cannot be derived from purely mechanical laws. It carries<br />
the stamp <strong>of</strong> the essentially statistical nature <strong>of</strong> heat. (Bergman in<br />
Basic Theories <strong>of</strong> <strong>Physics</strong> 1951)