I'd appreciate some help understanding Rindler coordinates better: I found a visual that seems to illustrate particle pair production with a Rindler horizon while describing Born rigidity. [Sounds like the Unruh effect to me.](adsbygoogle = window.adsbygoogle || []).push({});

[As background, recent discussions on particle pair production associated with horizons of various sorts include these:

https://www.physicsforums.com/showthread.php?p=3842102#post3842102

[Hubble sphere horizon] and

https://www.physicsforums.com/showthread.php?p=3749122&posted=1#post3749122]

[Unruh Effect]

This discussion will relate.]

At

http://en.wikipedia.org/wiki/Rindler_coordinates

Wikipedia says, in part:

and I thought 'this sounds a lot like the 'particle pair' discussions in Physicsforums.... ...in relativistic physics, we see that the trailing endpoint of a rod which is accelerated by some external force (parallel to its symmetry axis) must accelerate a bit harder than the leading endpoint, or else it must ultimately break. ..... This leads to a differential equation showing, that at some distance, the acceleration of the trailing end diverges, resulting in the Rindler horizon.

This Wikipedia 'half picture' [diagram] of Rindler coordinates is not so insightful as THIS source and description:

http://www.mathpages.com/home/kmath422/kmath422.htm

regarding Born rigidity...... and check out this description:

There is a lot of language in the overall mathpages description which I don't understand but the above description stood out to me. It seems just like the beginning of a description and visual representation of particle pair production!! ...This is because particles more than 1/a_{j}behind the leading end of the rod are on the opposite side of the pivot event, and can only be part of the Born acceleration if they are accelerating in the opposite direction in both space and in time. This is shown clearly in the figure above.

What do you think???? and why??

[a] old hat,

insightful,

[c] pathetically lame

Anybody know of other coordinate diagrams that address similar perspectives on Schwarzschild and FLRW descriptions for back holes, cosmology, respectively?? Hubble

[Isn't there something very similar inside a black hole horizon with Schwarschild coordinates to this:..."accelerating in the opposite direction in both space and in time.... ??" where signs change and 'x takes on the values of time'...moving towards the black hole singularity???]

thank you

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# Does Born rigidity describe particle creation?

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