- Feb 14, 2010
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I got a book out from my university library a while ago on the recommendation of an acquaintance, Faster than the Speed of Light, by Joao Magueijo. I've since read the book and returned it, and I have some questions related to the content of the book. Unfortunately I can't ask this acquaintance, as he's currently quite busy, so I thought I'd put these questions out here.
1) There is one passage in the book that says:
This seems intuitively fine for objects already in an orbit, but what if you just put an object into the influence of the gravity well? It would accelerate towards the well, so it should be experiencing a force. But if gravity is not providing the force, then where does it come from?
2) On a related note, with the 'gravity is not a force' model, how do you explain the effects of gravity on objects themselves; i.e. tidal forces?
3) How fast does gravity travel?
4) If you had a two-body system, with the two bodies initially separated by a vast but finite distance and initially still relative to each other, how fast would the bodies get before they collided? From my limited knowledge of relativity the mass of the bodies would increase as their velocity increases; but I also seem to recall that in a gravitational field this would be offset by the fact that gravity acts more strongly on more massive objects (so, for example, a feather and an anvil in a vacuum would fall at exactly the same acceleration). How does this work?
5) There was quite a vague statement of how general relativity predicts that the universe must have been constantly expanding since 1 second after the Big Bang; could someone expand on that?
6) What evidence is there for the constancy of the speed of light? I remember reading of an article giving observational evidence for a varying fine structure constant, alpha; what evidence is there to suggest that the speed of light in vacuum is constant across all space and has been constant for the entire history of the universe? Or is it just an assumption?
7) On a related note to the two-body question, if you had two objects individually accelerated to, say, 0.6c, and moving directly towards each other, the velocities of body A relative to body B would not be 1.2c; it would be something below c. What's the equation that you would use to calculate this? I thought maybe you used relativistic momentum; in which case the relative speed would be 0.832c; can someone verify this?
1) There is one passage in the book that says:
So basically, instead of gravity being a force, its influence upon objects' movement can be explained by its topology. On the opposite page it gives a diagram showing this where there is an object orbiting a gravity well, where the object is still traveling in a straight line, but because of the orientation of the space it is traveling through, it orbits the well; it is apparently experiencing no force.According to relativity, gravity is simply a distortion of space-time. In flat space, the law of inertia tells you that if no forces act on a body it follows a straight line, moving with constant speed; in other words, it suffers no acceleration. Einstein's theory states that under gravity, bodies are not subject to any force and so they again follow a straight line at a constant speed: in a curved space-time.
This seems intuitively fine for objects already in an orbit, but what if you just put an object into the influence of the gravity well? It would accelerate towards the well, so it should be experiencing a force. But if gravity is not providing the force, then where does it come from?
2) On a related note, with the 'gravity is not a force' model, how do you explain the effects of gravity on objects themselves; i.e. tidal forces?
3) How fast does gravity travel?
4) If you had a two-body system, with the two bodies initially separated by a vast but finite distance and initially still relative to each other, how fast would the bodies get before they collided? From my limited knowledge of relativity the mass of the bodies would increase as their velocity increases; but I also seem to recall that in a gravitational field this would be offset by the fact that gravity acts more strongly on more massive objects (so, for example, a feather and an anvil in a vacuum would fall at exactly the same acceleration). How does this work?
5) There was quite a vague statement of how general relativity predicts that the universe must have been constantly expanding since 1 second after the Big Bang; could someone expand on that?
6) What evidence is there for the constancy of the speed of light? I remember reading of an article giving observational evidence for a varying fine structure constant, alpha; what evidence is there to suggest that the speed of light in vacuum is constant across all space and has been constant for the entire history of the universe? Or is it just an assumption?
7) On a related note to the two-body question, if you had two objects individually accelerated to, say, 0.6c, and moving directly towards each other, the velocities of body A relative to body B would not be 1.2c; it would be something below c. What's the equation that you would use to calculate this? I thought maybe you used relativistic momentum; in which case the relative speed would be 0.832c; can someone verify this?
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