#### A. Neumaier

Science Advisor

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I'd like to open a discussion thread for version 2 of the draft of my book ''Classical and Quantum Mechanics via Lie algebras'', available online at http://lanl.arxiv.org/abs/0810.1019 , and for the associated thermal interpretation of quantum mechanics, espoused in the book.

The goal of the thread is to obtain reader's feedback that helps me to improve the presentation while I work towards a version for publication.

-- quantum mechanics and classical mechanics are much more similar than can be seen from the usual presentations of the subject;

-- in a very significant sense, theoretical classical and quantum mechanics is nothing but applied Lie algebra;

-- quantum mechanics has a common sense interpretation once one takes the thermodynamical findings of statistical mechanics serious in the foundations.

The content of the book is fully mainstream, covering hundreds of publications by others (301 references, too numerous to include them into this opening post), including many references to basic experiments. However, the selection and presentation of the material is very different from what one can find elsewhere.

The importance of the topic is obvious. With exception of the thermal interpretation, nothing is new about the scientific content. The presentation of the book is in intelligible English, complemented by LaTeX (some of it only intelligible by intelligent readers). With exception of historical evidence (and perhaps oversights), everything is defined or derived with mathematical rigor. The empirical equivalence of the presented material to standard mechanics is manifest, and almost the whole body of experimental physics supports the theory presented. [If this paragraph sounds a bit crackpottish - I am required to state all these things in order to conform to the submission rules.]

The thermal interpretation of quantum mechanics was presented first last year in a lecture whose slides (Slide 23-34 define the interpretative core) are available at http://www.mat.univie.ac.at/~neum/ms/optslides.pdf , which in turn is based on insights from Sections 8.4 and 10.3-10.5 of version 2 (or Sections 5.4 and 7.3-7.5 of version 1) of the above book.A short exposition is given in the entry ''Foundations independent of measurements'' of Chapter of my theoretical physics FAQ at http://www.mat.univie.ac.at/~neum/physfaq/physics-faq.html#found0 . See also the following PF posts:

https://www.physicsforums.com/showthread.php?p=3246436#post3246436

https://www.physicsforums.com/showthread.php?p=3187039#post3187039

https://www.physicsforums.com/showthread.php?p=3193747#post3193747

The goal of the thread is to obtain reader's feedback that helps me to improve the presentation while I work towards a version for publication.

**Abstract:**The book fulfils the didactical purpose of showing that-- quantum mechanics and classical mechanics are much more similar than can be seen from the usual presentations of the subject;

-- in a very significant sense, theoretical classical and quantum mechanics is nothing but applied Lie algebra;

-- quantum mechanics has a common sense interpretation once one takes the thermodynamical findings of statistical mechanics serious in the foundations.

The content of the book is fully mainstream, covering hundreds of publications by others (301 references, too numerous to include them into this opening post), including many references to basic experiments. However, the selection and presentation of the material is very different from what one can find elsewhere.

The importance of the topic is obvious. With exception of the thermal interpretation, nothing is new about the scientific content. The presentation of the book is in intelligible English, complemented by LaTeX (some of it only intelligible by intelligent readers). With exception of historical evidence (and perhaps oversights), everything is defined or derived with mathematical rigor. The empirical equivalence of the presented material to standard mechanics is manifest, and almost the whole body of experimental physics supports the theory presented. [If this paragraph sounds a bit crackpottish - I am required to state all these things in order to conform to the submission rules.]

The thermal interpretation of quantum mechanics was presented first last year in a lecture whose slides (Slide 23-34 define the interpretative core) are available at http://www.mat.univie.ac.at/~neum/ms/optslides.pdf , which in turn is based on insights from Sections 8.4 and 10.3-10.5 of version 2 (or Sections 5.4 and 7.3-7.5 of version 1) of the above book.A short exposition is given in the entry ''Foundations independent of measurements'' of Chapter of my theoretical physics FAQ at http://www.mat.univie.ac.at/~neum/physfaq/physics-faq.html#found0 . See also the following PF posts:

https://www.physicsforums.com/showthread.php?p=3246436#post3246436

https://www.physicsforums.com/showthread.php?p=3187039#post3187039

https://www.physicsforums.com/showthread.php?p=3193747#post3193747

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