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Gravitational waves provide dose of reality about extra dimensions

phys.org

51–60 of 78 posts

Re: Gravitational waves provide dose of reality about extra dimensions

#51
post #14

Are there particular theories of quantum mechanics or string theory that are now any less likely? Or is this just confirming what everyone expected all along?

It's yet another limit on the general idea of large extra dimensions: https://en.wikipedia.org/wiki/Large_extra_dimension It doesn't say anything about compact extra dimensions (the tiny curled up ones you usually hear about in string theory).

Thanks! That's exactly the context that was totally missing from the article.

Re: Gravitational waves provide dose of reality about extra dimensions

#52
post #16

Nice. A related result from the neutron star collision is that the speed of light and the speed of gravity are the same, to within something like 1 part in 10^15. Both light and gravity waves from an event 130 million light years away came in less than 2 seconds apart.

I don't get this. Shouldn't the speed of gravity be instant? If it has the same speed as light, the earth would gravitate towards the location of the sun roughly eight minutes ago (like we see the sun basically where it was eight minutes ago) in stead of where it actually is, and thus not hold its orbit.

Looking at just the Earth-Sun interaction, Earth is moving in a gravitational field that is unchanging. It's not that Earth is being pulled towards where the sun was eight minutes ago, but rather that it continues to move in free-fall in a region of space-time that is curved in a time-invariant manner.

If the sun were to vanish completely, then an observer above the elliptic of the solar system would see Earth transition from an apparently curved orbit to a straight-line path approximately 8 minutes after the sun's vanishing.

Re: Gravitational waves provide dose of reality about extra dimensions

#53

Earlier quoted context omitted.

I don't get this. Shouldn't the speed of gravity be instant? If it has the same speed as light, the earth would gravitate towards the location of the sun roughly eight minutes ago (like we see the sun basically where it was eight minutes ago) in stead of where it actually is, and thus not hold its orbit.

As you're always working with a fixed temporal distance, wouldn't that basically negate any instability? There'd never be a gravitational "correction", as that 8 minute offset would never shift.

Well, real orbits are not perfectly circular (and many stable orbits are far from circular) so the distance (temporal and spatial) certainly changes.

Re: Gravitational waves provide dose of reality about extra dimensions

#54
post #16

Nice. A related result from the neutron star collision is that the speed of light and the speed of gravity are the same, to within something like 1 part in 10^15. Both light and gravity waves from an event 130 million light years away came in less than 2 seconds apart.

I don't get this. Shouldn't the speed of gravity be instant? If it has the same speed as light, the earth would gravitate towards the location of the sun roughly eight minutes ago (like we see the sun basically where it was eight minutes ago) in stead of where it actually is, and thus not hold its orbit.

I'll let someone else answer your question, but if you enjoy thinking about these things, you might enjoy this vsauce video about the "speed of dark": https://www.youtube.com/watch?v=JTvcpdfGUtQ

Re: Gravitational waves provide dose of reality about extra dimensions

#55

Earlier quoted context omitted.

Lightspeed is that number in a vacuum . Interstellar space is not a perfect vacuum. There will have been some matter to slightly slow the photons.

Is there nothing that will slow gravity down? Does that mean that gravity is essentially faster than light? I mean not technically, but for all practical cases it would be slightly faster?

Electromagnetic radiation is never actually slowed down, but the effective speed of light in a medium is more a function of a statistical averaging effect as some radiation is absorbed and re-emitted. So a wave packet that might be very narrow, representing a distant pulse, will tend to spread out as it travels through a medium. The net effect will be that the maximum of the impulse will happen further after the (undetectable) leading edge of the packet, leading to the apparent slow-down of electromagnetic radiation.

For gravitational waves the same effect will happen, as the waves pass through matter with its own stress-energy that will absorb some of the incoming radiation and re-emit it. But gravitation interaction with matter is so much weaker that it would take a significant amount of concentrated stress-energy or order to have the same effect. Sparse matter in interstellar space is too diffuse to experience tidal effects even at the small magnitudes of gravitational waves.

Re: Gravitational waves provide dose of reality about extra dimensions

#56

Earlier quoted context omitted.

Lightspeed is that number in a vacuum . Interstellar space is not a perfect vacuum. There will have been some matter to slightly slow the photons.

Is there nothing that will slow gravity down? Does that mean that gravity is essentially faster than light? I mean not technically, but for all practical cases it would be slightly faster?

Gravity follows the space just as light does nothing slows it down other than space curvature which doesn’t technically slows it down just can increase its path.

Gravity cannot travel faster than light in vacuum traveling faster than light in a medium is possible and happens all the time in nuclear reactors for example.

Since interstellar space isn’t empty light can lag slightly behind a gravitational wave but it does not affect the ultimate speed limit of the universe.

Re: Gravitational waves provide dose of reality about extra dimensions

#57
post #53

Earlier quoted context omitted.

As you're always working with a fixed temporal distance, wouldn't that basically negate any instability? There'd never be a gravitational "correction", as that 8 minute offset would never shift.

Well, real orbits are not perfectly circular (and many stable orbits are far from circular) so the distance (temporal and spatial) certainly changes.

That's true - you'd have a possible gravitational blue/red shift at different points.

Re: Gravitational waves provide dose of reality about extra dimensions

#58

Earlier quoted context omitted.

I don't get this. Shouldn't the speed of gravity be instant? If it has the same speed as light, the earth would gravitate towards the location of the sun roughly eight minutes ago (like we see the sun basically where it was eight minutes ago) in stead of where it actually is, and thus not hold its orbit.

Why would being 8 minutes out of date result in an unstable orbit?

Why wouldn't it? It's not obvious to me one way or the other: it's a small perturbation, over billions of years, of the same period as the period of the orbit itself. It's plausible that it might be unstable.

Re: Gravitational waves provide dose of reality about extra dimensions

#59
post #53

Earlier quoted context omitted.

Well, real orbits are not perfectly circular (and many stable orbits are far from circular) so the distance (temporal and spatial) certainly changes.

That's true - you'd have a possible gravitational blue/red shift at different points.

Gravitational waves aren't how gravity propagates, however. They are really only relevant in exotic situations like mergers of massive compact objects, where spacetime is warped enough that orbits aren't stable and the bodies spiral inwards, radiating their excess gravitational potential energy in the form of gravitational waves.

Re: Gravitational waves provide dose of reality about extra dimensions

#60
post #16

Nice. A related result from the neutron star collision is that the speed of light and the speed of gravity are the same, to within something like 1 part in 10^15. Both light and gravity waves from an event 130 million light years away came in less than 2 seconds apart.

I don't get this. Shouldn't the speed of gravity be instant? If it has the same speed as light, the earth would gravitate towards the location of the sun roughly eight minutes ago (like we see the sun basically where it was eight minutes ago) in stead of where it actually is, and thus not hold its orbit.

Remember that Newtonian concepts of gravity such as the equation g = Gm1m2/r^2 are only strictly valid within the Newtonian framework which, among other things, does assume that the effect of gravity is instantaneous. To derive accurate equations of motion under finite propagation speed of gravity, you need the machinery of general relativity. Of course, in mundane situations like the Earth-Sun system the two models give nigh identical results.
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