Russell, Brent, Jesse, et al, The "increased kinetic energy of the particle" is not due to its acceleration but to its relative velocity to some observer. Mass also increases with relative velocity, but that apparent increase in mass is only with respect to some observer the motion is relative to. In fact all kinetic energy is only with respect to relative velocity with some observer frame.
So this means that any increased curvature of space from that increased kinetic energy and increased mass should be only with respect to observers it is in relative motion with respect to. So in this case we seem to have a case in which the curvature of space is relative rather than being absolute. Would you not agree? Edgar On Tuesday, February 18, 2014 4:44:58 PM UTC-5, Russell Standish wrote: > > On Tue, Feb 18, 2014 at 01:28:09PM -0500, John Clark wrote: > > On Sun, Feb 16, 2014 at 12:54 PM, Edgar L. Owen > > <edga...@att.net<javascript:>> > wrote: > > > > > > > > >> You say that "You can tell if spacetime is curved or not by > observing > > >> if light moves in a straight line or not." and then you say that > light does > > >> NOT travel in a straight line in the accelerating elevator example > you give. > > >> > > > > > > > So, by your terminology, does that mean that the acceleration of the > > > elevator IS curving space ? > > > > > > > You should stop talking about "space", it's "4D spacetime"; but yes it's > > curved, although if you were inside that sealed elevator you couldn't > tell > > if the curvature was caused by rockets accelerating the elevator in deep > > space or if it was caused by the Earth's gravity. Acceleration is > absolute > > in that there is no need to look outside your reference frame to detect > it, > > but according to General Relativity there is no way to tell the > difference > > between it and being in a gravitational field. > > > > > > > > It seems like you might be saying that the acceleration does curve > space > > > > > > > Yes. > > > > In which theory? IIUC, acceleration of an infinitesimal point particle > does not change the curvature of space. And acceleration of a massive > particle only changes the curvature by the amount due to the increased > kinetic energy of the particle. > > > -- > > ---------------------------------------------------------------------------- > > Prof Russell Standish Phone 0425 253119 (mobile) > Principal, High Performance Coders > Visiting Professor of Mathematics hpc...@hpcoders.com.au<javascript:> > University of New South Wales http://www.hpcoders.com.au > ---------------------------------------------------------------------------- > > -- You received this message because you are subscribed to the Google Groups "Everything List" group. To unsubscribe from this group and stop receiving emails from it, send an email to everything-list+unsubscr...@googlegroups.com. To post to this group, send email to everything-list@googlegroups.com. Visit this group at http://groups.google.com/group/everything-list. For more options, visit https://groups.google.com/groups/opt_out.
