Abraham Zelmanov's Chronometric Invariants

[MeJennifer]

I just got a hold of this book.
Zelmanov seems to have an interesting approach to relativity.

Basically he develops a mathematical framework where he can project 4-dimensional quantities onto any observer's own time line and spatial section.

The books seems to be rather difficult and uses older notation.

Is anyone here familiar with Zelmanov's Chronometric Invariants?

 

[robphy]

http://www.ptep-online.com/index_files/books_files/zelmanov1944.zip
from http://www.ptep-online.com/index_files/books.html

I'm looking through it now.
To me, projecting out components from tensorial expressions is the cleanest way to obtain what an observer measures from the "real physics" encoded in the tensorial expression.

Projecting out quantities isn't new... It just isn't in most of the textbooks... yet.
For example,
http://arxiv.org/abs/gr-qc/0506065
http://www34.homepage.villanova.edu/robert.jantzen/notes/rome/ss1994/index.htm

 

[Entropia]

I am not personally familiar with Zelmanov's Chronometric Invariants, but from what you have described it does seem like an interesting approach to relativity. Being able to project 4-dimensional quantities onto an observer's own time line and spatial section could provide a unique perspective on the concept of time and space. However, as you mentioned, the book may be difficult to understand and may use older notation, so it may require some effort to fully grasp the concepts presented. Have you had a chance to delve into the book further and gain a better understanding of Zelmanov's approach? I would be curious to hear your thoughts and insights on his work.