PAllen's latest activity
-
PPAllen replied to the thread Undergrad Euclidean geometry and gravity.I will make a self correction which implies we were both right/wrong in a sense. Again, I think the correct analog to a well understood...
-
PPAllen replied to the thread Undergrad Euclidean geometry and gravity.In my view, this is not a sensible approach. What you have is a collection of independent rockets, not a body. In a body, in any normal...
-
PPAllen replied to the thread Undergrad Euclidean geometry and gravity.Another thought on this is to emphasize that spatial geometry is simply a choice of simultaneity, with the same conventionality as in...
-
PPAllen replied to the thread Undergrad Euclidean geometry and gravity.I agree this is the fundamental question. I lean in the same direction as you (@pervect ). [This would mean that Herglotz-Noether...
-
PPAllen replied to the thread Undergrad Euclidean geometry and gravity.What I know and don't know as of this point in the discussion: 1) You can have rigid body (congruence) of parametrized by varying r...
-
PPAllen replied to the thread Undergrad Euclidean geometry and gravity.I think it is important to recall points made in some other threads about the limitations imposed by Herglotz-Noether : they apply to a...
-
PPAllen replied to the thread Undergrad Euclidean geometry and gravity.But the real content of the theorem is what cases are possible. I have not been able to access discussions of this. The only things I...
-
PPAllen replied to the thread Undergrad Euclidean geometry and gravity.The only such stresses on a rigid object, whatever its history, are those of tidal gravity.
-
PPAllen replied to the thread Undergrad Euclidean geometry and gravity.Yes.
-
PPAllen replied to the thread Undergrad Euclidean geometry and gravity.I am going to take some time responding to the rest of your post, but on this want to point out that the stationary congruence (constant...
-
PPAllen replied to the thread Undergrad Euclidean geometry and gravity.So far as I know, Herglotz-Noether is purely a theorem of SR. The case described would definitely be a possible rigid motion in SR - you...
-
PPAllen replied to the thread Undergrad Euclidean geometry and gravity.Thinking more about this, I come back to believing that for physics of materials, the only valid approach is in terms of kinematic...
-
PPAllen replied to the thread Undergrad Euclidean geometry and gravity.I don't know that that is definitive. See my longer post on this, coming soon.
-
PPAllen replied to the thread Undergrad Euclidean geometry and gravity.I am not quite sure how much of embedding theory corresponds to physics in pseudo-riemannian geometry, but I think it is worth pointing...
-
PPAllen replied to the thread Undergrad Euclidean geometry and gravity.Claim: There is no difficulty defining a congruence of world lines representing a piece of paper far from a BH, that then has each...