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Article #675Re: THE MYSTERY OF THE CARNOT THEOREM
From: Pentcho Valev
Date: Sun, 28 Mar 2010 06:46
Date: Sun, 28 Mar 2010 06:46
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9332 bytes
Einstein's relativity is not the first "theory" that just silently died. Classical thermodynamics has had a similar heyday but now even epitaph-like texts are difficult to find: http://www.beilstein-institut.de/bozen2004/proceedings/CornishBowden/CornishBowden.htm Athel Cornish-Bowden: "The concept of entropy was introduced to thermodynamics by Clausius, who deliberately chose an obscure term for it, wanting a word based on Greek roots that would sound similar to "energy". In this way he hoped to have a word that would mean the same to everyone regardless of their language, and, as Cooper [2] remarked, he succeeded in this way in finding a word that meant the same to everyone: NOTHING. From the beginning it proved a very difficult concept for other thermodynamicists, even including such accomplished mathematicians as Kelvin and Maxwell; Kelvin, indeed, despite his own major contributions to the subject, never appreciated the idea of entropy [3]. The difficulties that Clausius created have continued to the present day, with the result that a fundamental idea that is absolutely necessary for understanding the theory of chemical equilibria continues to give trouble, not only to students but also to scientists who need the concept for their work." (Here Athel Cornish-Bowden denounces thermodynamics but elsewhere he fiercely defends it: http://bip.cnrs-mrs.fr/bip10/valevfaq.htm ) http://philsci-archive.pitt.edu/archive/00000313/ Jos Uffink: "The historian of science and mathematician Truesdell made a detailed study of the historical development of thermodynamics in the period 1822–1854. He characterises the theory, even in its present state, as 'a dismal swamp of obscurity' and 'a prime example to show that physicists are not exempt from the madness of crowds'. He is outright cynical about the respect with which nonmathematicians treat the Second Law: "Clausius' verbal statement of the second law makes no sense [. . . ]. All that remains is a Mosaic prohibition; a century of philosophers and journalists have acclaimed this commandment; a century of mathematicians have shuddered and averted their eyes from the unclean. Seven times in the past thirty years have I tried to follow the argument Clausius offers [. . . ] and seven times has it blanked and gravelled me. [. . . ] I cannot explain what I cannot understand." [...] What is it that makes this physical law so obstreperous that every attempt at a clear formulation seems to have failed? Is it just the usual sloppiness of physicists? Or is there a deeper problem? And what exactly is the connection with the arrow of time and irreversibility? Could it be that this is also just based on bluff? Perhaps readers will shrug their shoulders over these questions. Thermodynamics is obsolete; for a better understanding of the problem we should turn to more recent, statistical theories. But even then the questions we are about to study have more than a purely historical importance. The problem of reproducing the Second Law, perhaps in an adapted version, remains one of the toughest, and controversial problems in statistical physics. [...] This summary leads to the question whether it is fruitful to see irreversibility or time-asymmetry as the essence of the second law. Is it not more straightforward, in view of the unargued statements of Kelvin, the bold claims of Clausius and the strained attempts of Planck, to give up this idea? I believe that Ehrenfest-Afanassjewa was right in her verdict that the discussion about the arrow of time as expressed in the second law of the thermodynamics is actually a RED HERRING." ftp://ftp.esat.kuleuven.ac.be/pub/SISTA/markovsky/reports/06-46.pdf "From the pedagogical point of view, thermodynamics is a disaster. As the authors rightly state in the introduction, many aspects are "riddled with inconsistencies". They quote V.I. Arnold, who concedes that "every mathematician knows it is impossible to understand an elementary course in thermodynamics". Nobody has eulogized this confusion more colorfully than the late Clifford Truesdell. On page 6 of his book "The Tragicomical History of Thermodynamics" 1822-1854 (Springer Verlag, 1980), he calls thermodynamics "a dismal swamp of obscurity". Elsewhere, in despair of trying to make sense of the writings of some local heros as De Groot, Mazur, Casimir, and Prigogine, Truesdell suspects that there is "something rotten in the (thermodynamic) state of the Low Countries" (see page 134 of Rational Thermodynamics, McGraw-Hill, 1969)." Only a few profiteers in science are still making career and money by publishing anything (there is no one in the world who would care about whether the concept of entropy was VALIDLY deduced from "heat will flow into cold but not the opposite"): http://newsblaze.com/story/20100327150646blue.nb/topstory.html "In 1988, Stephen Hawking gave the world A Brief History of Time. Now Sean Carroll goes From Eternity to Here. [...] There are many ways to think about entropy. The concept was initially expressed in terms of thermodynamics: heat will flow into cold but not the opposite. It has also been thought of as a trend toward chaos, and many people may want to say that their lives increase in entropy, but this is also an inadequate expression since chaos can be low-entropy too. Neither is entropy just a state of equilibrium. Perhaps a good way to describe it without invoking a long, scientific explanation is the uselessness and inability to do work. Once a bottle of perfume opens, it will settle into the air, which is its most likely state of configuration, and everything about our experience tells us that it will not flow back. But entropy is merely a tendency, and if time were an inscrutable thing, having no affect upon us so that we may observe its passage in years that can only be expressed in large exponents, the perfume may, in fact, go back into the bottle. Because the perfume is initially in the bottle, and because the rest of the universe does not seem to exist in a state of maximum entropy, it most likely evolved from a state of low entropy, which accounts for every moment since the Big Bang. It is the thing before the Big Bang that galvanizes physicists to search for more complete theories of the universe. Carroll cannot answer every question (I'd like to think that our universe is alone, and in lieu of that I'm partial to the baby universe explanation), but readers should also feel stimulated and enthralled when he asks them. After reading the book, maybe eternity won't feel so long after all." Pentcho Valev wrote: What is the probability that Mr. X looks like Mr. Y? Clearly the prior (Mr. X and Mr. Y are identified but there is no additional information concerning them) probability is virtually zero. This means that for the argument: Premise: Mr. X and Mr. Y are identical twins. Conclusion: Mr. X looks like Mr. Y. the combination "false premise, true conclusion" is virtually impossible. Consider an oversimplified version of the Carnot theorem: Premise: Heat is an indestructible substance (cannot be converted into work in the heat engine). Conclusion (prototype of the second law of thermodynamics): The heat engine X working between the temperatures T1 and T2 is just as efficient as the heat engine Y working between the same temperatures. The premise turned out to be false in the end. Is the prior probability of the conclusion virtually zero? Is the combination "false premise, true conclusion" virtually impossible? Pentcho Valev pvalev@yahoo.com
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X-Google-Thread: 10f545,9762c0b4bbba2746 X-Google-NewGroupId: yes X-Google-Thread: 10b271,9762c0b4bbba2746 X-Google-NewGroupId: yes X-Google-Thread: fa4c1,9762c0b4bbba2746 X-Google-NewGroupId: yes X-Google-Thread: 111645,9762c0b4bbba2746 X-Google-NewGroupId: yes X-Google-Attributes: gid41be78289e,gid54ac8f410d,gid2479375fed,gid237b8ad48,domainid0,public,usenet X-Google-Language: ENGLISH,CP1252 Path: arc1-ca.pugleaf.net!g2news2.google.com!postnews.google.com!z4g2000yqa.googlegroups.com!not-for-mail From: Pentcho Valev <pvalev@yahoo.com> Newsgroups: sci.physics.relativity,sci.physics,fr.sci.physique,fr.sci.astrophysique Subject: Re: THE MYSTERY OF THE CARNOT THEOREM Date: Sat, 27 Mar 2010 23:46:29 -0700 (PDT) Organization: http://groups.google.com Lines: 133 Message-ID: <322f9990-a8ba-48a0-a6de-649dc2972e5f@z4g2000yqa.googlegroups.com> References: <57c74d21-8c2c-4a85-9c81-d8a8a154db06@c16g2000yqd.googlegroups.com> <pan.2010.02.24.10.09.37@canonicalscience.com> <ce37f0a8-b28a-4ef4-9831-cd89daf0ac39@33g2000yqj.googlegroups.com> NNTP-Posting-Host: 89.215.201.41 Mime-Version: 1.0 Content-Type: text/plain; charset=windows-1252 Content-Transfer-Encoding: quoted-printable X-Trace: posting.google.com 1269758789 24532 127.0.0.1 (28 Mar 2010 06:46:29 GMT) X-Complaints-To: groups-abuse@google.com NNTP-Posting-Date: Sun, 28 Mar 2010 06:46:29 +0000 (UTC) Complaints-To: groups-abuse@google.com Injection-Info: z4g2000yqa.googlegroups.com; posting-host=89.215.201.41; posting-account=Lz-LbgoAAABPDavKeW-eYeobwLHD_cvQ User-Agent: G2/1.0 X-HTTP-UserAgent: Mozilla/4.0 (compatible; MSIE 7.0; Windows NT 5.1; AskTB5.5),gzip(gfe)