
#19
Feb2510, 05:30 PM

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#20
Feb2610, 12:25 AM

P: 2,456

If matter annihilates with antimatter, the created photon gas *MUST* has exactly the same gravity as matter before, otherwise GR would be violated. Of course, rest mass is zero, so gravity is created by the pressure components of the tensor.




#21
Feb2610, 02:52 AM

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#22
Feb2810, 09:07 AM

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P: 169

To the OP or whoever did the calculations:
What actually happens has been determined by the famous observation of light deflection, and also gravitational lensing. According to GR, in the weak field limit, light is bent twice as much as in the Newtonian calculation, so your force will also be off by a factor of two if you are not careful. On the other hand, it will have the right dimensions and be of the right order of magnitude. If you are interested to pursue this further, use the slightly more sophisticated formula E^2 = m^2 c^4 + p^2 c^2 to get a more defensible result. Best, Jim Graber 



#23
Mar110, 11:00 AM

P: 308

all  no, i was not talking about uncertainty (HUP) in a photon's position (though that does apply to a degree, since we know the exact momentum of a photon, it's location is completely unknown). i am saying that a single photon does not have a location until it is detected/absorbed. for the responder who mentioned a "wave packet with negligible extension"  that is simply not the nature of a photon as i understand it. if a photon had negligible extension, you would not see the effects we see when we perform a dual slit experiment. until/unless a photon is detected/absorbed, it simply has no location  it only exists as a probability function. it is moving by "all possible paths" to whever it may be finally detected/absorbed.
further, since time does not exist in the reference frame of a photon (if a photon can be said to have a ref frame), distance also does not exist for a photon  implying that at the moment a photon is emitted, it is essentially everywhere in the universe at once  there is no distance between it and anything else. again, if i am misstating something here, please straighten me out... 



#24
Mar110, 11:30 AM

P: 2,456

2 Just point a laser beam somewhere. You can calculate the position of the beam. For example, about 1/2 seconds after it is emitted it will be about halfway between Earth and Moon (if you point it to the Moon) 3 Only if you dont focus the light it is going in all directions. Think again about the laser. 



#25
Mar110, 12:30 PM

P: 308

dmitry  from my understanding, given any particular atom emitting a photon, we know the exact energy required for an electron to drop to the next lowest level when it emits a photon, and thus we do know its frequency. using your laser analogy, "A photon of redorange light from a HeNe laser has a wavelength of 632.8 nm. Using the equation gives a frequency of 4.738X1014 Hz or about 474 trillion cycle per second." so, we do know exactly the frequency of that photon, and thus cannot know anything about it's position, as per HUP.
however, a wiki article states this: "Being massless, they cannot be localized without being destroyed; technically, photons cannot have a position eigenstate , and, thus, the normal Heisenberg uncertainty principle ΔxΔp > h / 2 does not pertain to photons." here is a quote from an article on the copenhagen interpretation: "It's more than simply saying we don't know which slit the photon passes through. The photon doesn't pass through just one slit at all. In other words, as the photon passes through the slits, not only don't we know it's location, it doesn't even have a location. It doesn't have a location until we observe it on the film. This paradox is the heart of what has come to be called the Copenhagen interpretation of quantum physics." source  http://webs.morningside.edu/slaven/p...ertainty7.html also, "the photon is a bit of a problem, because it has turned out to be impossible to identify a position operator for it....These findings tell us two things: first, unlike electrons, photons really can't be localized to an arbitrary precision, and second, a position operator is meaningless because there really is no position to operate on. " source  APS  http://pra.aps.org/abstract/PRA/v79/i3/e032112 



#26
Mar110, 01:20 PM

P: 2,456

The faster the transition process, the wider the line. It is a result of HUP. Dont think about spectral lines as if they have infinitely narrow width. 2 Correct. What is incorrect, is your generalization: from “we don’t know if photon is in A or B” you conclude “we have no idea where is it: in A, B, or another galaxy”. So yes, in some cases the wavefunction of a photon can occupy our whole galaxy. For example, for a photon emitted in the unknown direction at unknown moment of time somewhere 1M y ago the wavefunction is bigger than our galaxy. However, we can prepare a wavefunction which is occupy very limited volume in 4D space. 



#27
Mar110, 01:21 PM

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#28
Mar110, 01:22 PM

P: 2,456

About spectral lines:
check http://en.wikipedia.org/wiki/Spectral_line Search for "natural broadening" 



#29
Mar110, 01:50 PM

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@jnorman: It's not that bad with photons. A gamma photon, for example, bevaves pretty much like any other ultrarelativistic particle  except that you can't catch it. You will find a position to some reasonable accuracy. Additionally, as I said, I think "photon" is shortcut here for "pointlike something moving along a null geodesic". Here, physics is as classical as possible. 



#30
Mar110, 03:37 PM

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#31
Mar210, 12:56 AM

P: 2,456

Finally, in very early Universe the density of matter was negligible in comparison with density of radiation. So at some époque, most of the gravity of the Universe came from photons, slowing down the expansion.




#32
Mar210, 06:16 AM

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#33
Mar210, 07:13 AM

P: 449

Hi.
A group of photons surely generates gravity. e.g. electromagnetic radiotion closed in a hollow body has energy called black body radiation. Its electromagnetic energy momentum tensor appear in the right hand side of Einstein's gravity equation. QM says that photon wavelength lamda gives its position uncertainty. So the gravity source position has uncertainty of wavelength. Schwartzshild's radius of photon is 2Gh / (c lamda). In the case the disance between the two photons are much larger than both lamda and Schwartzshild's radius, I expect a photon motion influenced by the gravity generated by another photon can be evaluated approximately at least. In other cases e.g. two photons are in the same wave train of a laser beam we must face unknown quantum gravity. Regards. 


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