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Apr
16
answered Interval and proper time
Apr
11
comment Einstein's theory tells us that gravity is a curve in space and time but how does that causes attraction in mass?
youtube.com/watch?v=DdC0QN6f3G4
Apr
4
comment Why does the index of refraction change the direction of light
The easiest way to answer this is, of course, with Fermat's Principle. But that may not be what you're looking for.
Mar
23
comment Universe Expansion and two tennis balls
Well, since we have no idea what "dark energy" actually is, that's a tough question to answer.
Mar
23
comment Universe Expansion and two tennis balls
You're not reading it wrong, but you're missing Jerry's point. The reason the universe is expanding is because it is filled with dark energy, i.e. there is a nonzero cosmological constant. By "clear the universe of all matter" it was assumed that dark energy should also be removed. Remove the DE and space doesn't expand. Leave it in and it will, albeit at a different rate than we observe because the normal matter in the universe helps to "counteract" the effect of DE.
Mar
22
comment Future light cones inside black hole
To add to this, you can't avoid falling toward the singularity any more than you can avoid growing older.
Mar
20
comment Einstein gravity versus Newton's gravity
youtube.com/watch?v=DdC0QN6f3G4
Mar
19
comment Generating artificial gravity by using rotation
This is a rather subtle issue. In General Relativity, observables (like time, distance, etc.) are dependent on the metric tensor field. The value of metric is determined by the energy/momentum distribution in spacetime. It is assumed in your problem that the objects involved have little effect on the metric. The metric of a rotating coordinate system (i.e. the rotating clock) yields the above result. If the ring, etc., were sufficiently massive then they too would have an effect on the metric.
Mar
19
answered Generating artificial gravity by using rotation
Mar
15
comment Trying to speak correctly of spacetime intervals and how to compare them
Sure, why not? The signature of either (+,-,-,-) or (-,+,+,+) is completely arbitrary. As for your last question, you're free to invent any notation you like.
Mar
14
answered Is singularity at the exact centre of a black hole?
Mar
14
comment How can my water cool down more quickly?
Uh, yes it is...
Mar
14
answered How can my water cool down more quickly?
Mar
13
comment A tensor summation question
Yes. Flat 3D space is usually called 'Euclidean.'
Mar
12
revised A tensor summation question
added 297 characters in body
Mar
12
answered A tensor summation question
Mar
12
comment A tensor summation question
But it's only unambiguous when the metric is Euclidean, so getting into the habit of writing everything with lower indices is a bad idea. It also looks sloppier.
Mar
12
comment A tensor summation question
Because using upper indices represent vectors while lower indices represent covectors. They are functionals of each other. Using all lower indices is ambiguous because you can't tell which is which.
Mar
12
comment A tensor summation question
You're using rather confusing notation. Are you summing over i and j? The repeated lower indices are pretty ambiguous.
Mar
11
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