QM + GR = black holes cannot exist

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I have never seen the width / cross section of a photon discussed. Rarely is even the measurable length noted. If I had to make a guess, I would say more than half its energy passes thru a circle of diameter equal to its wave length, but there is some conceptual difficulty with that, as its wavelength is a function of the frame you are in yet the orthogonal diameter of a circle is nearly frame independent - at most a second order effect compared to the linear red or blue shift.
Yes. A gamma ray photon, emitted from a decaying nucleus, is normally thought of as being some exceedingly tiny entity in all 3 dimensions. Yet by SR transformation, ELF output of a huge antenna becomes gamma rays in another frame. When I first realized it's significance, it more or less instantly killed-off my previous notion a photon could be modeled as a soliton-type pulse, and tilted thinking in favor of a point-like particle model. But then it occurred that maybe it's a case of 'there are photons, and then again there are photons'. Meaning it may be meaningful to characterize an effective 3D extent in the frame of photon emission, and then simply allow SR to transform that for any other frame. There must be some sense of effective cross-section - after all shine a laser pointer beam through a hole (larger than the evident beam spot size) in a reflecting or absorbing plate, and there is negligible attenuation or diffraction. Anyway nowadays I don't know what exactly makes sense. But not ready to concede to those theorists who contend no consistent physical model is possible.
 
Really? So the stress energy tensor doesn't describe the contribution light makes to the local spacetime curvature?
Why ask a question I already answered umpteen times?
Well that's the way GR describes it...
AS I POINTED OUT TO YOU!! Or are you really expecting to get away with trying to turn the tables on what #339 exposed - your own lack of real understanding of GR? Here it is again - from your #337:
As far as GR is concerned photons don't interact with eachother.
WRONG!! And, conceited coward that you are, you have continually ducked and weaved and failed to answer BillyT's repeated clear questions on that. A specific scenario presented to you in #356 was met with typical word salad BS in #374 that gave no answer. In keeping with your absolute, unqualified above reproduced statement in #337, you should have given NO as a consistent response - but failed to give any answer. Actually, the standard GR position is an unequivocal YES -as given by eqn's (30), (35) in that 1931 article I referenced. How ironic that you should try and paint me as ignorant of what GR says when the truth is, though I am an acknowledged critic of GR, I know it's consequences better than you as supposed defender-of-the-faith.
You went to ground for at least two days following my own intentionally low-key 'anonymous' rebuttal of #339. It's because you knew darn well sooner or later you would be confronted with your own above unqualified, absolute statement that is dead wrong.
and who gives a crap about effective gravitational mass of light?
An absurd statement. Effective gravitational mass of light is *synonymous* with it's capacity to effect local spacetime curvature!
For light it's energy and momentum and you think this can't be right?
More typical brucep meaningless word salad.
It's part of how the theory works for doing physics so you must think the theory can't make accurate predictions for the natural phenomena in the theories domain of applicability.
Given your own demonstrated lack of real grasp of GR, you're in no position to judge what I really think.
I'm not interested in starting a nonsense thread for you.
That's because you know that if you did, I would have you in knots - again. Provoke me further, and I will hugely embarrass you by dredging up past postings where you have been repeatedly exposed as a pretender and a cut-and-run coward. Your choice.

I bit my tongue and held back with you in #356 in answering your *loaded* query of #350 - tried to be especially civil and refrained from pointing out your obvious earlier error. But to no avail. As you well know we have a past history of not getting on, to put it mildly. And ALWAYS it has been you initiating an aggressive, nasty attitude. And not just against me. Watched with amusement as you managed to rile the normally unflappable Fednis48 here:
http://www.sciforums.com/threads/galileo-was-technically-wrong.142700/page-12#post-3231047
His civil response was quite a contrast in character. Tach was permanently banned for his continued aggression, and somehow you have avoided that fate though being at least as nasty, and considerably less capable all round than him. Gushing sycophantic praise for those higher up the chain no doubt helps there.

I make no pretense of being a GR expert and am happy to admit being an amateur scientist. But do claim to have a certain level of insight and ability to critically think outside the box - differently and independently of prevailing group-think. And the balls to say so - and to admit when wrong. Whereas you assiduously cultivate via word salad an image of being actually proficient in GR; fancying yourself as some kind of local 'Einstein's bulldog'. It fools some here who are wrongly in awe of you. Not me. We did have a resident proficient in GR - Markus Hanke. But he left in disgust. Too bad.
 
...There must be some sense of effective cross-section - after all shine a laser pointer beam through a hole (larger than the evident beam spot size) in a reflecting or absorbing plate, and there is negligible attenuation or diffraction. Anyway nowadays I don't know what exactly makes sense. But not ready to concede to those theorists who contend no consistent physical model is possible.
Photons definitely have an E=hf wave nature. I think you should think in terms of a seismic wave myself. Have a look at weak measurement work by Aephraim Steinberg et al:

http://www.physics.utoronto.ca/~aephraim/PWMar13steinberg-final.pdf
 
General Relativity is useful for modeling gravity via the construct called space-time. However, GR is not complete, but rather leaves out key attributes connected to classical gravity. Gravity, because it is generated by mass, also generates pressure. GR does not deal with matter under pressure caused by gravity.

With Special Relativity, space-time is impacted by velocity, but the matter in motion does not undergo physical compression (pressure) implicit of all objects turning into black hole density, as we approach the speed of light; maximum space-time contraction in GR.

If you look at the fusion core of a star, this creates the highest energy photons. These photons have the smallest wavelength, which is consistent with this being the place of highest distance contraction due to GR. However, the frequency of the photons are the fastest, while time in space-time is getting slower; time moves in opposite directions relative to pressure and space-time. GR has something missing.

Say we have fusion core energy output, increasing frequency with pressure, while GR is causing space-time to contract in the same area of the contracting core. Since GR and pressure cause time to go in opposite directions, but distance in the same direction, what does the composite imbalance in time and distance, create?

In other words, the composite of time and the composite of space is not what you expect of space-time, since these don't balance out. The composite time is more analogous to the surface or out in space, while the composite distance is more implicit of the core; gravity waves, magnetic field?
 
Farsight, you just recommend ditching QM in favor of simple wave mechanics and then you link to an article that is essentially off-topic where wave mechanics is rejected in favor of QM.

Farsight, please take the time to read your citations and try to understand them. Physics is not impossible to learn.
 
General Relativity is useful for modeling gravity via the construct called space-time. However, GR is not complete, but rather leaves out key attributes connected to classical gravity. Gravity, because it is generated by mass, also generates pressure. GR does not deal with matter under pressure caused by gravity.
Why not? It seems that one could naturally include that information in the stress-energy tensor.
With Special Relativity, space-time is impacted by velocity, but the matter in motion does not undergo physical compression (pressure) implicit of all objects turning into black hole density, as we approach the speed of light; maximum space-time contraction in GR.
Ah, you just mean that GR cannot deal with the maximal pressure we get in a black hole. I'm not sure that's correct; GR can model black holes just fine, the problem is whether or not we trust these models.
If you look at the fusion core of a star, this creates the highest energy photons. These photons have the smallest wavelength, which is consistent with this being the place of highest distance contraction due to GR. However, the frequency of the photons are the fastest, while time in space-time is getting slower; time moves in opposite directions relative to pressure and space-time. GR has something missing.
I think what you are missing is that the creation of the photons is something due to the nuclear reactions taking place in their own rest frame. GR has nothing to say about that until the photons head out of the core. Then one expects some redshift. How much redshift should one expect?

Say we have fusion core energy output, increasing frequency with pressure, while GR is causing space-time to contract in the same area of the contracting core. Since GR and pressure cause time to go in opposite directions, but distance in the same direction, what does the composite imbalance in time and distance, create?
Why don't you give us a model of a star and work this out? It seems that astrophysicists working on stars must do this problem quite often.
 
Farsight, you just recommend ditching QM in favor of simple wave mechanics...
I did no such thing.

Farsight, please take the time to read your citations and try to understand them. Physics is not impossible to learn.
I've read them and I do understand them. That's why I was able to correct brucep on his false assertion that the force of gravity is down to local spacetime curvature. You didn't.
 
Bruce, Billy asked a question that clearly crosses the boundary between GR and QM. You continually ignore that and try to respond by saying, GR says....
Please give some hint, at least, as to where I brought in ANYTHING to due with QM into the question. For example let X be either a tiny dust particle OR a photon.
I asked: If two Xs were traveling initially on parallel paths only a micron apart, do they gravitationally (or warp space ) to attract each other?

If X = tiny dust particle, or even just a proton, then clearly the correct answer is: Yes.
If X = photon then answer to whether or not they attract each other is: "Yes" if photons do slightly warp space (make a tiny gravitational field that moves with them); but if they don't, then the answer is "No."

Brucep repeatedly refuses to give a clear Yes/No answer. He wants to explain things, speak of geodesics, or claim the answer is mixing GR with QM.
Just because in one case the two Xs are identical photons does not imply it is a QM question. This question could be asked when Planck quantized light - before the even was any QM theory!

Brucep's post 374 begins with: "The photons energy and momentum contribute to the local spacetime curvature. The local spacetime curvature is the gravity...."
My reply in post 375 begins with: "{that} sounds like: Yes, two identical photons traveling parallel to each other at least initially only 1 micron apart for many years do attract each other, ..."
I. E. He forced me to guess his start of post 374 was a long winded "yes" answer, but then in post 376 he comment on my 375 with:
"No I didn't say anything like your first paragraph (of post 375}. You're Mixing up domain of applicability. GR is a classical theory of gravity and doesn't make any predictions for quantum phenomena. ..."

So I still have no clear answer from Brucep to a simple classical question about photons as a source of very weak gravity. Likewise, I have no idea what QM phenomena he eludes to (And I am quite well educated in QM.)*

If you agree with brucep that I am discussing or asking about QM, please tell why and is the question with X = tiny dust particles also a QM question?

* As evidence of that education, from post 375:
I know QM rather well - I have done calculations of its effects even in the original matrix formulation as well as with Schroder's equation formulation! ...The first classical QM problem any graduate student does is to compute the permitted energy levels of a particle in a box with infinitely high potential walls, then usually one wall is made finite so you can calculated the "tunneling effect." Next you may derive the uncertainty principle,* probably about at this stage you will mathematically watch a mixed state (sum of two weighted eigenvectors) evolve, etc.

For all of this Feynman diagrams are basically useless. I never used them in my first QM course - they find application mainly in nuclear interactions where "virtual particles" are important and you need to consider all possible sets of them. ...
Also note my Ph.D. was an experiment investigation of spectral lines from the Argon ion** - how they were shifted and broadened when the ion radiator was part of high density plasma. - Not even in doing that was ANY quantum mechanical analysis required, nor was any required when I measured the length of some Sodium D lines as ~30 cm.

BTW, don't say: "Anything very small is a QM question." (The proton is at least 1000 times smaller than any atom and all photons are at least a few cm long 1,000 times typical atomic radii!) So that silly reply means you need both GR & QM to know if two carbon atoms near each other gravitationally attract each other.

** Hans Griem had just worked out the theory for these effects for neutral radiators. He had guessed they would be larger for an ion radiator*** - I was first to confirm that. One of the lines I accurately measured the wave length of (with Fabry Perot interferometer cascaded with common spectra graph to "order separate") was displaced by more than an Angstrom.

*** Because a passing electron would curve some due to the ion's positive charge and thus be "near by" the ion longer than if it was passing a neutral. I guessed that the effect would be largest if I made a relatively cool, but 100% ionized plasma. So I did that.
 
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I did no such thing.
Please read your own posts. You wrote, "Photons definitely have an E=hf wave nature. I think you should think in terms of a seismic wave myself."
I've read them and I do understand them. That's why I was able to correct brucep on his false assertion that the force of gravity is down to local spacetime curvature. You didn't.
Yes, you "corrected" him by producing a citation that said he was correct. Congratulations on failing to read your citations.

Please learn physics before you pontificate about it.
 
Please give some hint, at least, as to where I brought in ANYTHING to due with QM into the question. For example let X be either a tiny dust particle OR a photon.
I asked: If two Xs were traveling initially on parallel paths only a micron apart, do they gravitationally (or warp space ) to attract each other?

If X = tiny dust particle, then clearly the correct answer is: Yes.
If X = photon then answer to whether or not they attract each other is: "Yes" if photons do slightly warp space (make a tiny gravitational field that moves with them); but if they don't, then the answer is "No."

Billy it may not have been your intent as you frame the question above, which might just be pushing the limits of GR, however the following bits from your earlier post, to me suggest, that the initial question passed that limit and extended the question into areas GR has no real answers.

First is: Do photons have a very tiny gravitational field?
They have no rest mass so I guess the answer is no* (and at end of post support that with simple observation). Here is the problem that makes me have some doubt:

An electron and positron...

Third question: These two charges are accelerating so are radiating....

Fourth question: Eventually they will transform into two ~ 511Mev gamma rays, that travel away from the old mass center point (perhaps the still mass center point if answer to question 1 was yes) will they not?...

* Also the photon's M = E/(c^2) mass

Am I wrong in interpreting all of the above references as involving quantum effects/interactions that are not explained within the context of GR.

It has seemed from the beginning that your question was asking how the gravitational field of fundamental particles and photons interact, which is outside the scope of GR and something that can or will only be answerable within the context of a successful model of QG. Even our best experimental evidence supporting GR predictions of gravity's effects on single atoms requires some understanding and application of QM. As far as I am aware there is no direct experimental evidence involving charged particles, fundamental or just subatomic, and gravity. We live on a planet that has a significant electromagnetic field that distorts any large scale observations and the particle charges theirselves, at any distance that gravity might be functional between two charged particles, would represent a far greater force than we could expect from any gravitational field.

That is how I have been reading your question based on that first post. If that was not your intent... I've just been confused by my own reading of the initial detail.

As far as that first question, Do photons have a very tiny gravitational field?, which evolved into, do two photons interact gravitationally?, setting aside any QM involvement and only from a theoretical GR approach, Bruce has been answering, it repeatedly, his only error was perhaps not beginning each attempted explanation with a NO to that first question.., followed by the explanation, which is admittedly not nearly as clear as a simple NO.
 
...I asked: If two Xs were traveling initially on parallel paths only a micron apart, do they gravitationally (or warp space ) to attract each other?

If X = tiny dust particle, or even just a proton, then clearly the correct answer is: Yes.
If X = photon then answer to whether or not they attract each other is: "Yes" if photons do slightly warp space (make a tiny gravitational field that moves with them); but if they don't, then the answer is "No."
The photon has a non-zero active gravitational mass. Google it. This isn't rest mass, its a measure of energy, as is inertial mass. The photon has a non-zero inertial mass too. Like any concentration of energy, it causes gravity. Take a look at The Foundation of the General Theory of Relativity here. See page 185 where Einstein says "the energy of the gravitational field shall act gravitatively in the same way as any other kind of energy". A photon causes gravity, and as you know, its path is altered by gravity. So two photons will undergo gravitational attraction. However the huge mass of the Sun bends light by only 1.75 arcseconds, and an arcsecond is 1/3,600th of a degree. So the gravitational attraction between two photons isn't going to be measurable.
 
... A photon causes gravity, and as you know, its path is altered by gravity. So two photons will undergo gravitational attraction. However the huge mass of the Sun bends light by only 1.75 arcseconds, and an arcsecond is 1/3,600th of a degree. So the gravitational attraction between two photons isn't going to be measurable.
I agree as first posed there is no measurable attraction between two parallel traveling photons; In part that is why I asked the question about photon's making gravity a second way that in principle has an experimentally measurable answer; however, my question is what does best current theory say, not can effect be measured with current techology.

Here is part of my post 356:
"Imagine a 1mm diameter 1,000 gigawatt laser beam in vacuum with 50% on duty cycle of 1 second period. Now also in this vacuum is a super resolution electron beam of 1 micron diameter orthogonal to the laser beam path* that just misses or "skims the surface" of the laser beam (when the laser is "on"). The detector of the electron beam is a long way from their point of intersection - say that point is in near earth orbit and the electron detector is on the moon. Is there any one hertz gravitational modulation in the detectors electrical out put?

* The direction of the laser beam slowly turns so that the orthogonal electron beam is always (when laser is off) exactly "filling" the detector. I. e. even a one nano degree deflection of the electron beam, caused by laser's photons warping of geodesic path near their almost grazing point (of laser and electron beams) would show up as a 1 hertz component in the detector's signal.

This is a gedanken - a "thought experiment." Please don't concern your self with technical details. Just clearly say: "Yes, in principle there would be a 1 hertz square wave modulation in the detector signal" or: "No; In principle, there would NOT be any 1 hertz square wave modulation in the detector signal."

With tiny extra cost I can get a trillion, giga, terra watt laser, if need be and at some more expense: an equally well columninated, 1 nano meter neutron beam to be orthogonal to it, so leave out any interaction of the electrons with the E-field of the lasers - just photon's gravity (stress-energy tensor?) does or does not "warp" space "change the geodesic" is my question.

A simple Yes or No would be fine.

Added now:
Note that very high density electronic chips are now made with extremely fine UV light etching the substrate of the chip. (Tiny fraction of a micron UV beam diameter) So instead of an orthogonal electron or neutron beam, we could sent that UV beam to the detector on the moon, to look for the 1hz square wave in the detector's out put signal. That would directly test whether or not zillions of laser photons passing just below the subnano-meter UV beam's photons cause a gravitation deflection of the UV beam.

Again: I am asking about what the theory predicts, but this might even be a "do-able" experiment with the huge laser power now used to compress micron sized D/T fuel pellets, at Livermore Labs as I recall.
 
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Hi Billy T. Some answers for you:

Billy T: Do two photons traveling side-by-side, only one micron apart, attract each other via their gravitational interaction (by their warp of space time) by their ("stress-energy tensor) or any other terms you prefer?

Assuming that you are saying {with (1)} that photons do mutually attract, is it conceptually possible that a Black Hole could have no rest mass as it is only "zillions of photons" orbiting the center "like a swarm of bees" due to the mutual warping of space about that point?

Prof. Jacobson:

They do not attract each other. See the attached article
:

http://www.academia.edu/5364664/Sim...gating_Photons_do_not_Gravitationally_Attract

Billy T: Assuming that you are saying {with (1)} that photons do mutually attract, is it conceptually possible that a Black Hole could have no rest mass as it is only "zillions of photons" orbiting the center "like a swarm of bees" due to the mutual warping of space about that point?

Prof. Jacobson:

An isolated black hole has a total “rest mass”, or equivalently energy, as can be measured by the gravitational attraction it exerts as measured far away from it.

However I think perhaps by “rest mass” you may be thinking of some local “substance” that comprises the black hole. Actually, although a black hole forms when "something” collapses, once the black hole has formed it is nothing but empty warped spacetime. In fact, you can even make a black hole by collapsing gravitational waves, which are nothing but empty spacetime!


Billy T: Do two photons traveling side-by-side, only one micron apart, attract each other via their gravitational interaction (by their warp of space time) by their ("stress-energy tensor) or any other terms you prefer?

Assuming that you are saying {with (1)} that photons do mutually attract, is it conceptually possible that a Black Hole could have no rest mass as it is only "zillions of photons" orbiting the center "like a swarm of bees" due to the mutual warping of space about that point?

Prof. Engle:

Classically, the electromagnetic field has an energy-momentum-stress tensor and therefore creates space-time curvature. Conversely, space-time curvature directly affects the evolution of the electromagnetic field. Thus, classically, the electromagnetic field interacts with itself gravitationally.

The same thing must happen in quantum theory. That is, the quantum electromagnetic field must interact with itself via the quantum gravitational field. So, yes, photons must necessarily interact with each gravitationally. However, the exact way in which they interact with each other depends on a theory of quantum gravity, which, of course, is not a settled issue!

Regarding the second question about the formation of a black hole by photons: This certainly is possible! However, the photons would not remain in orbit in the black hole: Rather, as all things are forced to do inside a black hole, they would inevitably crash into the singularity. The resulting black hole, if it is allowed to settle down and reach equilibrium, would look similar to any other black hole, approximated by the Kerr solution to Einstein's equation.

Of course, if the black hole is formed only by a few photons, this would be governed by quantum gravity, rather than classical gravity. Presumably if such a small black hole would form, it would evaporate a la Hawking in a ridiculously short time period.

Another question that was asked by the forum poster: Can a black hole have zero rest mass? The way I interpret this question is: Are there any black hole space-times with light-like ADM four-momentum? That is a very interesting question, whose answer I don't know off hand. In the usual Kerr family of black hole solutions, the ADM four-momentum is always time-like, and hence always has a non-zero "rest mass."

Thanks for the fun questions.

Best wishes,


Jon

 
To Farsight Thanks for the google link. The first three hits don't directly address my question. The fourth does:
http://physics.stackexchange.com/questions/22876/does-a-photon-exert-a-gravitational-pull said:
I know a photon has zero rest mass, but it does have plenty of energy. Since energy and mass are equivalent does this mean that a photon (or more practically, a light beam) exerts a gravitational pull on other objects? If so, does it depend on the frequency of the photon?
Two different answers are then given. Both say "yes" photons do make gravity or in more modern terms (warp space time).

The first hit is concerned, I think, about post decay event where some mass has become photons - seems to say that with in the future light cones the stronger gravity field the pre decay mass had is "reduced" (by the released photons? or "action at a distance" for points not near a photon, but equally close to the decay point or even slightly closer.) - presumably the reduction of gravity is moving away from the decay point at the speed of light. It doesn't address my question. I think he is thinking about a gamma ray emitting isotopic decay.

I note that if photons do not "make gravity" then the total energy in the gravitational field is reduced by nuclear decay - where did it go to conserved energy?

"Into the photon" is not a very satisfying answer as not all nuclear decays make gamma rays, yet all have lower gravity field, post decay.
 
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Hi Billy T. Some answers for you: ...
Thanks for a very balanced pair of links. I.e. Prof. Jacobson say "No" and Prof. Engle says "Yes."

Raymond Jensen makes an interesting argument for "No" based on SR's "time dilation." Unfortunately his argument seem to me to also imply, again for his stationary observer. I.e. the period that observer "sees" for a wave in a medium moving towards him at velocity v also contracts and if I extend this speed v movement to the speed of light as he does, then the energy of the photon would become infinite too. That tells me it is not valid to make generalization on how something changes as v increase and extend that to v = c.

Read his paper here: http://www.academia.edu/5364664/Sim...gating_Photons_do_not_Gravitationally_Attract
 
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Wow! Some vitriol and unsupported accusations being thrown about in this thread!
OK, for what it's worth, as a layman [and an old bastard to boot :)] The reply/answer that aligns closest to what I have learnt over the years, is the following.......
"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""
Prof. Jacobson:

They do not attract each other. See the attached article
:

http://www.academia.edu/5364664/Sim...gating_Photons_do_not_Gravitationally_Attract
"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""




I have said from the beginning that photons/light do actually cause gravity, due to its momentum. This very tiny infinitesimal effect is immeasurable.
Gravity also makes more gravity, due to its property of non-linearity.
see.....
""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""
http://scienceworld.wolfram.com/physics/EternalBlackHole.html
tealtab_topleft1.gif
tealtab_topleft2.gif
Eternal Black Hole

A massless black hole which is a stable topological structure held together by the nonlinearity of its gravitational field.
"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""




From my position as a layman, I see Prof. Jacobson answer as superior to Prof. Engle, simply due to this property of nonlinearity.
 
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You're welcome, Billy T. Another reply for you:

Billy T: Do two photons traveling side-by-side, only one micron apart, attract each other via their gravitational interaction (by their warp of space time) by their ("stress-energy tensor) or any other terms you prefer?

Prof. Carlip:

There has not been a direct experimental test of this (at least for
free photons) -- the gravitational interaction is much too weak.
But according to general relativity (or semiclassical gravity, if
you want to think of photons as quantum states), the answer depends
on their relative directions. For two photons moving parallel to
each other in the same direction, there is no net attraction. For
two photons moving parallel to each other but in opposite directions,
the net attraction is twice what you would expect from Newtonian
gravity with each photon have an effective gravitational mass of
E/c^2. On the average over all relative directions, the attraction
is that of Newtonian gravity.

The directional dependence comes because there are velocity-dependent
interactions in general relativity, vaguely analogous to magnetic
interactions. For low velocities these are very small, just barely
measurable, but for speeds near c they become important.


Billy T: Assuming that you are saying {with (1)} that photons do mutually attract, is it conceptually possible that a Black Hole could have no rest mass as it is only "zillions of photons" orbiting the center "like a swarm of bees" due to the mutual warping of space about that point?

I will assume that by "black hole" you mean "the object in general
relativity called a black hole." (If you have some other meaning,
you'll have to explain it.)

Then the answer is "no." If the total energy inside a region is
enough to form a black hole, then anything in that region is
necessarily headed toward the central singularity, and not orbiting
around it. Even outside a black hole, there are no stable orbits
of light very near the event horizon.

One way to describe this is to say that inside a black hole,
spacetime is curved enough that the direction "toward the future"
is the same as the direction "toward the singularity." An object
can stay away from the singularity only if it can move toward
the past.

(Of course, we don't know what happens "at" the singularity --
near enough, we need quantum gravity. But for a large black hole,
the event horizon can be quite far from the center, and most
physicists don't think quantum gravity should be relevant. There
are some who disagree -- there are some arguments that quantum
gravity becomes important as soon as you reach the event horizon
-- but that's pretty speculative.)

There *is* a hypothetical object consisting of "zillions of
photons orbiting the center ... due to the mutual warping of
space." This is called a "geon." Our best evidence at the
moment is that such objects are inherently unstable, and very
probably can't exist.

(One word of warning: if you look this word up in the physics
literature, you'll find that it has two meanings. There is
a particular kind of black hole that is also, confusingly, called
a "geon" -- don't get the two mixed up.)


Steve Carlip
 
From Prof Carlip's reply............

"Then the answer is "no." If the total energy inside a region is
enough to form a black hole, then anything in that region is
necessarily headed toward the central singularity, and not orbiting
around it. Even outside a black hole, there are no stable orbits
of light very near the event horizon.

One way to describe this is to say that inside a black hole,
spacetime is curved enough that the direction "toward the future"
is the same as the direction "toward the singularity." An object
can stay away from the singularity only if it can move toward
the past.

(Of course, we don't know what happens "at" the singularity --
near enough, we need quantum gravity. But for a large black hole,
the event horizon can be quite far from the center, and most
physicists don't think quantum gravity should be relevant. There
are some who disagree -- there are some arguments that quantum
gravity becomes important as soon as you reach the event horizon
-- but that's pretty speculative.)"

Interesting and needs to be applied to RJBeery's thoughts and hypothesis on the matter...... :)
 
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