- #1

Naty1

- 5,606

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Somebody posted a reference to Fermi Walker transport, maybe Ben Crowell, anyway,

The first section here:

http://en.wikipedia.org/wiki/Fermi-Walker_transport

says:

That's a new perspective for me. Can anyone help provide an intuitive explanation? I see the lower diagram on the left, two velocity vectors with an acceleration vector between the arrowheads, but I'm having trouble trying to form mental picture of the physical.

I can relate to an acceleration in space forming a curve in spacetime: for example a particle accelerating in two dimensions traces out a curve in three dimensional spacetime. And a circular rotation in two space dimensions traces out a corkscrew in three dimensionalspacetime...that's a clear example of the acceleration being perpendicular to the velocity...

As I think about this for the first time, It seems to relate to a description Doc Greg helped me with sometime ago...that acceleration results in a TYPE of spacetime curvature, but not the same type as gravitational curvature...Is THAT what's going on?? Or do i have unrelated concepts muddled??

..I copied it for my own notes...maybe I can actually find it and post it...

The first section here:

http://en.wikipedia.org/wiki/Fermi-Walker_transport

says:

we can regard acceleration in spacetime as simply a rotation of the 4-velocity.

That's a new perspective for me. Can anyone help provide an intuitive explanation? I see the lower diagram on the left, two velocity vectors with an acceleration vector between the arrowheads, but I'm having trouble trying to form mental picture of the physical.

I can relate to an acceleration in space forming a curve in spacetime: for example a particle accelerating in two dimensions traces out a curve in three dimensional spacetime. And a circular rotation in two space dimensions traces out a corkscrew in three dimensionalspacetime...that's a clear example of the acceleration being perpendicular to the velocity...

As I think about this for the first time, It seems to relate to a description Doc Greg helped me with sometime ago...that acceleration results in a TYPE of spacetime curvature, but not the same type as gravitational curvature...Is THAT what's going on?? Or do i have unrelated concepts muddled??

..I copied it for my own notes...maybe I can actually find it and post it...

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