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Nicholas · 2008-04-05 00:01:04

How does slower motion increase the curvature of the 4D tensor in General Relativity?

You have space curvature which is defined point by point by the tensor. Why does slower than light motion increase the curve followed by matter's geodesic?

There is space curvature then there is motion curvature of matter which is greater than the space curvature. How does slow motion increase the tensor curvature for matter?

It is motion geometry.

Mitch Raemsch

Last edited by Nicholas (2008-06-04 04:28:28)

Nicholas · 2008-06-04 04:31:45

This is an important point. The curvature followed by light is of the space-time curve. But the curvature of slower matter is bent steeper. It is not the same curve as the space curve.

General Relativity needs to encompass motion geometry of slower than light matter. It already defines curved space-time. But the only thing that follows the actual space curve is light. Light is the null geodesic.

Ahamed · 2008-06-04 05:14:26

think this. 2 objects falling in gravity at different speeds. ie, you trew a ball straight down and you let it fall the other. at the same place, acceleration, the space curve is the same for them.

Nicholas · 2008-06-04 05:47:23

That doesn't make any sense. They don't follow a curve at all if the are dropped straight down. You don't need to follow the space curve and that is the proof.

Mitch Raemsch

Roadratray · 2008-06-04 19:08:10

As motion approaches zero, Relativistic description approches Newtonian description. As motion approches c, Newtonian description fails while Relativistic remains accurate.

Gravity is due to curvature of time by mass. A falling object is following a curve in 1 dimension (Dt) relative to 3 other dimensions (Dx, Dy, Dz). This is approximated by the 4D tensor.

Nicholas · 2008-06-04 21:06:22

An orbit is two dimensional. Instead of a time curve call it a time slowdown curve of Gamma.

Mitch Raemsch

Last edited by Nicholas (2008-06-04 21:11:43)

Nicholas · 2008-06-06 02:09:17

The substance of space is geometry. Motion in space has a geometry. Trajectories bend less the faster the motion. Light's motion defines the geometry of space because there is nothing faster.
Mitch Raemsch

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#1 2008-04-05 00:01:04

Motion and space curvature tensor

#2 2008-06-04 04:31:45

Re: Motion and space curvature tensor

#3 2008-06-04 05:14:26

Re: Motion and space curvature tensor

#4 2008-06-04 05:47:23

Re: Motion and space curvature tensor

#5 2008-06-04 19:08:10

Re: Motion and space curvature tensor

#6 2008-06-04 21:06:22

Re: Motion and space curvature tensor

#7 2008-06-06 02:09:17

Re: Motion and space curvature tensor

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