Comments about "Born rigidity" in Wikipedia

This document contains comments about the document "Born rigidity" in Wikipedia
In the last paragraph I explain my own opinion.




The article starts with the following sentence.
Born rigidity is a concept in special relativity. It is one answer to the question of what, in special relativity, corresponds to the rigid body of non-relativistic classical mechanics.
This sentence is not clear. What is a rigid body? What is not a rigid body?
What is the physical difference.
As a result, Born (1910) and others gave alternative, less restrictive definitions of rigidity.
What you need is first of all a physical defintion.

1. Definition

Born rigidity is satisfied if the orthogonal spacetime distance between infinitesimally separated curves or worldlines is constant,or equivalently,
That is maybe true but the text is not clear what is really meant.
if the length of the rigid body in momentary co-moving inertial frames measured by standard measuring rods (i.e. the proper length) is constant and is therefore subjected to Lorentz contraction in relatively moving frames.
Also this sentence is not very clear.
My own first impression is that a moving rigid body, should not undergo length contraction.
Born rigidity is a constraint on the motion of an extended body, achieved by careful application of forces to different parts of the body.
Also this sentence is not very clear. You need more detail to understand.
See Reflection 1 - General

2. Stresses and Born rigidity

3 Born rigid motions

A classification of allowed, in particular rotational, Born rigid motions in flat Minkowski spacetime was given by Herglotz, which was also studied by etc.
If you want to understand this it must clear what the difference is between 'motions' in general versus 'Born rigid motions'. Has this something to do with the bodies studied (i.e. rigid versus non-rigid bodies) or with the motions of these bodies?

3.1 Class A: Irrotational motions

He concluded, that the motion of such a body is completely determined by the motion of one of its points.
This can only be true for round objects?

3.2 Class B: Rotational isometric motions

This whole paragraph is much too mathematical.

4 General relativity

Attempts to extend the concept of Born rigidity to general relativity have been made by Salzmann & Taub (1954).
Before you do that the concept "Born rigidity" should be clear. What does it physical mean.

5 Alternatives

Several weaker substitutes have also been proposed as rigidity conditions, such as by Noether (1909) or Born (1910) himself.
That maybe true. But what is missing are certain details

6. See also

Following is a list with "Comments in Wikipedia" about related subjects Comments on the article Quantum_and_classical_clocks.htm "Einstein’s quantum clocks and Poincaré’s classical clocks in SR" by Yves Pierseaux

For a discussion in sci.physics.research see:!topic/sci.physics.research/_rQMwHe8I1o rigid rotating disc

If you want to understand the universe or shorter by home i.e. our local physical environment, than almost always: you have to perform experiments. This you can call the golden rule of physics.
Related to the behaviour of bodies apperently you can make a distinction between two types: The problem is that the article does not clearly indicate which materials belong the one or the other group.
What is worse the article also does clealy explain the experiment (setup and its details) how you can decide if a material is either rigid or not. In fact this experiment should demonstrate length contraction (as a function of the matirial used).
It seems that the whole concept of "Born rigidity" is treated as a thought experiment, which makes it rather unscientific, if it is not supported by real experiments.

Reflection 2 - (Thought) Experiment

The purpose of this experiment is to demonstrate the difference between non rigid and rigid material.
Non rigid material is supposed to experience length contraction.
Rigid material is not supposed to experience length contraction.
The Figure's 1, 2 and 3 show the possible outcome of an actual experiment. The question is which one is true?
       o           o     v=0
        o         o     v-->
          Figure 1
       o           o     v=0
        o         o     v-->
          Figure 2
       o           o     v=0
       o           o     v-->
          Figure 3
Each figure consists of two parts:


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Created: 16 February 2015
Updated: 20 September 2017

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