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  1. L

    Riemann-Christoffel tensor

    Thanks for the reply (and the latex sample!). It is acting on a vector A: \Gamma^{\tau}_{\alpha\nu} \frac{\partial A^{\alpha}}{\partial x^{\sigma}} - \Gamma^{\tau}_{\alpha\sigma} \frac{\partial A^{\alpha}}{\partial x^{\nu}} I've tried rewriting the partials as...
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    Mass creates Volumetric Space

    I would have to say mass does not create space. The 'curving' of spacetime is a description of the motion of an object near a gravitating body. It would follow a path given by the geodesic equation (which is a geodesic). I have never heard of space being a physical thing that can bend or distort...
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    Infinite speed of time

    No, time would not be infinite. It would be "normal" time (no time dilation). Just let r go to infinity in the equation and you will see that time is not changed.
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    Riemann-Christoffel tensor

    Or more simply put: {alpha nu, tau}*d/dx^sigma - {alpha sigma, tau}*d/dx^nu = 0 How can I show this is true? Is there some way of writing this with the nu and sigma switched in one of the terms? Thanks.
  5. L

    Riemann-Christoffel tensor

    I'm trying to work through getting the Riemann-Christoffel tensor using covariant differentiation and I don't see where two terms cancel. I have the correct result, plus these two terms: d/dx^(sigma) *{alpha nu, tau}*A^(alpha) and d/dx^(nu) *{alpha sigma, tau}*A^(alpha) Sorry, I couldn't...
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    Arbitrary Velocity C in Special Relativity

    I am not too familiar with the "Lorentz invariant", so I will have to do some reading on that... sounds kind of important. I'll look up "Formalism to deal with Reichenbach's special theory of relativity" as well. Thanks.
  7. L

    Greene's Fabric of the Cosmos

    That was one of several answers I came up with after thinking about Zeno's paradox. I'll have to check out that book.
  8. L

    How to imagine curved space

    I usually think of space as a 3D grid of cubes having units of (1,1,1). Near a large mass it is like sticking a (2,2,2) cube into the small one. So each component has to bend for the ends to line up (make a D shape). The extra length of each component can't fit in and have to switch out with...
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    Arbitrary Velocity C in Special Relativity

    That makes sense why c must be used for the Electrodynamical part, but not (to me at least) the Kinematical part. Why couldn't you use, say, a baseball moving at v0 instead of the ray of light for the argument in "Simultaneity" and "Relativity of Lengths and Times"?
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    Arbitrary Velocity C in Special Relativity

    I am working through Einstein's "On the Electrodynamics of Moving Bodies", and I can't figure out why we are using c instead of a random constant velocity. It seems to me that c is an arbitrary value for the argument. I'm sure there is an explanation... I just can't think of it. Can anyone clear...
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