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Originally posted by daniel_g
Place everything on a 1 dimension system. Set Earth at the origen (Vearth = 0), Vgalaxy is then -0.99c and Vspacecraft = +.99c
= (-0.99c - 0.99c) / (1-((-.99c)(0.99c)/c^2))
= -1.98c / 1+0.9801
= -1.98c / 1.9801
= -0.999949498c
don't ask me about the negative sign, but I think it's there to denote that the objects are moving away from each other.
the way you were doing it was for two objects moving in the same direction at equal velocity which ends up as
0/(1-vbva/c^2) = 0
Originally posted by GobbledokTChipeater
The negative sign only works with the earth as the origin.
What if you set the galaxy as the origin? Vearth is +.99c and Vspacecraft is +.99c.
Originally posted by daniel_g
Originally posted by GobbledokTChipeater
reply to post by dlifesjrny
In relation to other things in the universe, you are moving at above light speed.
However in relation to anything close by/meaningful, you are barely moving. It's all relative.
That first statement is simply not true under relativity. In relation to anything, no matter where, in the universe you are moving below the speed of light.
Take 3 points in the universe: A distant galaxy, the Earth, and you.
If Earth was moving away at .99c relative to the distant galaxy, and you suddently took off from Earth at .99c relative to Earth and moving away from the galaxy, then you'd still be traveling below c relative to the distant galaxy.
Many sources discussing deep space astrophysics or cosmology claim that certain galaxies move away from the Milky Way Galaxy at faster than light speeds. To the reader who is familiar with even the most basic principles of Einstein's theory of Special Relativity, this statement may be very puzzling. How can anything go faster than the speed of light when Special Relativity strictly forbids it?
The resolution to this apparent contradiction turns out to be partly from a loop hole in Special Relativity and partly from choosing less ambiguous wording.
An Expanding Universe Bends the Rules of Special Relativity
The most well-known rule of Special Relativity states that nothing can travel through space faster than the speed of light. This rule has been verified by physicists time and time again and is now taken to be a scientific fact. There is, however, a loophole in that rule which emerges from the words "through space". Space itself can stretch, warp and do many strange things without violating this rule. If the space between two galaxies stretches then to each galaxy the other will appear to be moving away at some speed. However, this is not motion in the usual sense of the word.
Originally posted by The Bear Man
May I suggest that if a way to vibrate fast enough in the vacuum of space is achieved we can let the universe pass us on a molecular level, thus appearing to move at light speed by just "standing still" as the OP suggests.
The molecular movements used from vibrations of friction, which is how the movement of the universe would be observed.
Originally posted by Arbitrageur
Now let's calculate the relative movement of those two galaxies as of January 1 2011. It's 1 year later so the +x galaxy will have moved 0.99 light year in the +x direction. The -x galaxy will have moved 0.99 light years in the -x direction. So from Earth's perspective, the distance between those two galaxies has increased 1.98 light years in only one year.
So how can the distance between them increase by 1.98 light years in only one year, if nothing can travel faster than light?
Originally posted by Bedlam
What this sounds like is one of those butt-awful woo-physics syncretisms. The giveaways are "vibrate", and "pass us by on a molecular level" (what other level are you proposing?).
Observations of position and/or velocity don't really depend on vibrations or friction. Friction with what? Vacuum? What do you propose is 'vibrating'?
The space between the galaxies is expanding, is it not? Isn't that the loophole? Expanding space?
Originally posted by daniel_g
I appreciate you mentioning the loophole that allows anything (not just galaxies) to travel FTL, however its worth mentioning that said loophole does not apply to the example quoted above.
Originally posted by The Bear Man
A vacuum is not frictionless.
Molecularly speaking if you vibrate that which makes up an object/person fast enough you can physically pass through otherwise solid objects.
Like I said with the water example, you will still go as you are going, but everything else will pass you more quickly thus giving you "travel" of sorts
Originally posted by Arbitrageur
The space between the galaxies is expanding, is it not? Isn't that the loophole? Expanding space?