Recent content by Cusp
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Graduate Dark Energy in Light of the Cosmic Horizon
Recent post on this issue: http://xxx.lanl.gov/abs/1001.4795 Interestingly (and I say so as an author), the time average of the deceleration parameter appears to be very close to zero. Through the Looking Glass: Why the "Cosmic Horizon" is not a horizon Authors: Pim van Oirschot... -
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Graduate Derivation of relativistic acceleration and momentum
F=ma does work in both SR and GR as long as you are using the 4-vector (tensorial) version.- Cusp
- Post #6
- Forum: Special and General Relativity
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Graduate Confused about Equivalence Principle
Point taken - but the key point is that the "uniform" gravitational field has a zero Riemann tensor, just the same as uniform acceleration in Minkowski space, and the surface of the Earth is not a uniform gravitational field.- Cusp
- Post #18
- Forum: Special and General Relativity
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Graduate Confused about Equivalence Principle
I've been looking at this issue in a little detail recently, and some aspects of the opening post are incorrect. The metric for a uniform gravitational field can be written as ds^2 = -(1+gz)^2 dt^2 + dx^2 + dy^2 + dz^2 (e.g. Principle of Equivalence, F. Rohrlich, Ann. Phys. 22, 169-191...- Cusp
- Post #16
- Forum: Special and General Relativity
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Graduate Kretschmann Scalar: Flat Spacetime & Singularities
Thanks George - will check it out.- Cusp
- Post #4
- Forum: Special and General Relativity
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Graduate Kretschmann Scalar: Flat Spacetime & Singularities
The Kretschmann scalar (the full contraction of the Reimann tensor K = R_abcd R^abcd) is often used to identify singularities - i.e. for a Schwarzschild black hole, K \propto 1/r^6, so we have a singularity at r=0, but not at the Schwarzschild horizon). Clearly, as r->\infinity, K->0. Is K=0...- Cusp
- Thread
- Scalar
- Replies: 3
- Forum: Special and General Relativity
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Graduate How can empty space expand? (Reality behind the GR equations.)
>> I'm really starting to hate science/physics. And what is left to resort to? Absolutely nothing. I think threads like this are heralding the TRUE death of physics. Physicists are arguing over words, not concepts. The concepts don't make sense. But they are so engrossed with the...- Cusp
- Post #26
- Forum: Special and General Relativity
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High School Can we travel faster than the speed of light?
no - you can't travel (locally) fast than light (in a vacuum)- Cusp
- Post #30
- Forum: Special and General Relativity
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Graduate Wormholes: Are they practical?
The problem with workholes is that they are generally found by metric mechanics - you specify the spacetime structure you want and then invert to find the required energy distribution - generally finding it to be "weird" and hence you are unsure if it's a physically valid description.- Cusp
- Post #7
- Forum: Special and General Relativity
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Graduate The nature of time. Which books to read?
Why does there have to be a why? Things interact - all interactions occur at points so all interactions (including observations) collapse wavefunctions.- Cusp
- Post #9
- Forum: Other Physics Topics
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Graduate The nature of time. Which books to read?
Tine is defined so that all event don't happen at once. That's all you need. I agree that most philosophy of science has no baring on science itself. From what I have seen, most of it stems from the philosophers inability to properly understand quantum mechanics.- Cusp
- Post #7
- Forum: Other Physics Topics
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Graduate Is Empty Space Just a Bunch of Relationships Between Events?
Just like the wavefunction and the magnetic field, spacetime is a construct. You can never devise a test (within relativity) to *prove* its existence. If you ant to think this implies existence, then be prepared for it to vanish in a future model of the universe.- Cusp
- Post #19
- Forum: Special and General Relativity
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Graduate Is Empty Space Just a Bunch of Relationships Between Events?
This is not a "scatter-shot" of citations, but part of a recent set of ongoing discussions on the nature of spacetime. As noted in these paper, in relativity spacetime is not a thing - it's a mathematical construct- Cusp
- Post #15
- Forum: Special and General Relativity
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Graduate Is Empty Space Just a Bunch of Relationships Between Events?
In 1939, Einstein wrote that black holes cannot exist (Einstein, A. 1939, AnMat, 40, 922) and in 1936 said that there can be no gravitational waves (http://www.physicstoday.org/vol-58/iss-9/p43.html ). Appealing to authority is not the way to have a discussion. As for the nature of spacetime...- Cusp
- Post #13
- Forum: Special and General Relativity
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Graduate Is Empty Space Just a Bunch of Relationships Between Events?
No - empty space is not a something in relativity.- Cusp
- Post #11
- Forum: Special and General Relativity