M. Tsamparlis' book on Special Relativity

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Discussion Overview

The thread discusses Michael Tsamparlis' book on Special Relativity, focusing on its content, quality, and some specific mathematical points raised by readers. The scope includes theoretical aspects of special relativity, mathematical foundations, and potential applications in advanced studies.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant praises the book for its comprehensive treatment of special relativity, including advanced topics like non-inertial reference frames and the Lorentz group.
  • Another participant expresses skepticism about the author's awareness of the difference between Lorenz and Lorentz at the time of publication.
  • A different participant argues that the oversight regarding the Lorenz/Lorentz distinction is not a significant flaw, suggesting that there are more serious errors in the book, such as a specific mathematical typo involving the Lorentz transformation.
  • One participant shares their perfectionist view on writing, implying that typos reflect a lack of passion or diligence in authorship.
  • A participant currently reading the book raises a concern about a specific mathematical claim regarding the counting of components of the Lorentz group, questioning the author's assertion of "16 different Lorentz transformations" and suggesting that the correct count should be higher.

Areas of Agreement / Disagreement

Participants express a mix of appreciation for the book and criticism regarding specific errors and the author's understanding of certain concepts. There is no consensus on the significance of the identified flaws or the correct interpretation of the mathematical content.

Contextual Notes

Some discussions involve unresolved mathematical steps and differing interpretations of the author's statements, particularly regarding the counting of Lorentz transformations.

vanhees71
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I just stumbled over the following book on SRT

Michael Tsamparlis, Special Relativity, Springer (2010)

It's a gem! On the beginning-graduate level it explains the special theory of relativity from ground up, starting with a chapter on the math of Minkowski space and then providing a complete treatment of everything of the standard curriculum on the subject including a complete treatment of classical electromagnetism.

Then there are also gems of not so often to find topics like introducing non-inertial reference frames or the manifestly covariant description of the full proper orthochronous Lorentz group.

I think it's the most complete introductory advanced undergraduate, beginning-graduate-level book on SRT written since von Laue's famous first textbook of 1911. It provides solid ground for further more advanced studies like relativistic (viscous) hydrodynamics, relativistic kinetic theory, and relativistic (many-body) QFT.
 
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Thanks for sharing!
 
The difference between Lorenz and Lorentz had not been known to the author at the moment of publication (2010), a thing which is hard for me to accept.
 
Well, I'd not take this as a real flaw, which is perpetuated for decades before it was corrected by more history-of-science inclined people. There are more serious typos than that, like
$$x_{\mu} p_{\nu}-x_{\nu} p_{\mu} = \epsilon_{\mu \nu \rho \nu} x^{\rho} p^{\nu} \quad \text{WRONG!}.$$
Nevertheless, it's a very good book, much more complete than many others.

I wish I could write typo-free manuscripts myself...
 
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I am sorry. For me writing something (from a mere post in PF or an answer on our competition's website) is a statement of passion. People writing papers, books, whatever leaving typos, grammatical errors are not passionate enough in my book, to have the patience to reread 10 times the manuscript to make sure it is really flawless. This is just me. My perfectionism.
 
I’m currently reading it, as it seems to cover exactly what I’m looking for. But I’m struggling with some of his ‘counting’ in the early chapters. E.g., in section 1.7, he derives the four connected components of the Lorentz group, based on the free selection of two signs. That’s fine. But for some reason he states that this gives “16 different Lorentz transformations”. 32, even, if rotations are included.

I’d love to know if anyone can unstick me on this, so I can progress to the physical content without this nagging at me.
 

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