Free Republic
Browse · Search
News/Activism
Topics · Post Article

To: snarks_when_bored

Rather it seems that if space can bend than it is more like a material.
The basic equation in Einstein's General Relativity places (essentially) the geometric structure of spacetime on one side and stress-energy on the other, that is, there is an equivalence between the mathematical (geometry) and the physical (stress-energy). So, yes, spacetime (not just space) is more like a material, at least in General Relativity.
/////////////////////////
if this is true then there should be some kind of equation with an = or an imbalanced >= which would do for space what E=MC2 has done for energy and matter...such that Space=Energy (something or other)
Space=Matter (something or other)


53 posted on 01/10/2005 6:38:27 AM PST by ckilmer
[ Post Reply | Private Reply | To 47 | View Replies ]


To: ckilmer
...there should be some kind of equation with an = or an imbalanced >= which would do for space what E=MC2 has done for energy and matter...such that Space=Energy (something or other) Space=Matter (something or other)

Correct, there is—I just didn't put it in my post to you. On the left side of the equation is the so-called 'Einstein tensor' (this keeps quantitative track of the geometric curvature of spacetime); on the right side of the equation is the so-called 'stress-energy tensor' (this keeps quantitative track of the 'matter/energy' or 'stuff' in spacetime). There are also some multiplicative constants, usually written on the right side, to make the units work out.

Check out the reference in my post #47 for much more info.

And although it has a hokey background, here's an image of a coordinate-independent version of Einstein's general relativity field equation (that's the Einstein tensor on the left, the stress-energy tensor on the right):


55 posted on 01/10/2005 7:08:02 AM PST by snarks_when_bored
[ Post Reply | Private Reply | To 53 | View Replies ]

Free Republic
Browse · Search
News/Activism
Topics · Post Article


FreeRepublic, LLC, PO BOX 9771, FRESNO, CA 93794
FreeRepublic.com is powered by software copyright 2000-2008 John Robinson