Is there a limit to how bright a light source can be?

DnetMHZ

Diamond Member
Apr 10, 2001
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I don't know where it came from, but this question hit me on my way to work today.

I'm by no means a physics expert, but I assume there has to be some physical limit to how much light can be packed into a given area, or maximum photon density?
 

Daedalus685

Golden Member
Nov 12, 2009
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Well... yes and no.

Photons are bosons, there is no limit to the number that can occupy the same energy state. So if a wizard chose to make something a billion times brighter than the centre of the largest star there is no reason to question them.

However, in the case of a star (other than an accretion disk the only 'really' bright things I can think of at the moment) the brightness is generally proportional to the size. This is of course the brightness we see (but related to that which we don't), and when we are talking about something many many times larger than the sun the surface flux might not differ all that much. Such that your photon density may not be different at the surface (though certainly different at the hidden core)

Flux is related to temperature, luminosity to surface area and flux.

In both cases there is a logical max. If a star were too 'hot' the radiation pressure would overpower gravity and blow it apart (which is a form of super nova). If it were not hot enough the star would collapse (which is the majority of the other kinds of supernova when radiation pressure/mass ratio drops for several reasons).

So there are physical properties that prevent things from being infinitely bright. Though keep in mind that the energetic core of star is not producing light you or I could ever observe. But hypothetically speaking it is pretty damn bright in the core of a star.

So to sum it up... no limit but...

Luminosity generally increases with mass... but then so does the required radiation pressure to support the mass. At a certain point the energy produced by the star is not enough to support against collapse and the star is destroyed in one way or another. So there is a limit to how bright something can be in that respect as there is a well understood limit to how large a star can be before it simply collapses into something else and no means of energy production can prevent this.

However, during the early universe the luminosity might very well have been effectively infinite as energy was pretty much all there was to see.
 
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Harvey

Administrator<br>Elite Member
Oct 9, 1999
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< mild attempt at humor >

The math is simple. The forumla is:

{maximum brightness} = 1 / {ultimate black}

< /mild attempt at humor >
icon3.gif
:cool:
 
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silverpig

Lifer
Jul 29, 2001
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Yes there is. If you put enough photons in one place, they'll start to turn into normal baryonic matter. This has been seen in some recent high energy laser experiments.
 

Daedalus685

Golden Member
Nov 12, 2009
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Yes there is. If you put enough photons in one place, they'll start to turn into normal baryonic matter. This has been seen in some recent high energy laser experiments.

Continue... :'(


I was not aware of any matter-antimatter creation involving high energy lasers other than 'conventional' pair production. Which would not have been possible in the early universe without matter already in existence.

Radiation domination of the universe occurred well before baryogenesis occurred. The photon density was far far far greater than that of the most extreme locations in the universe today. There was a phase when no matter existed at all, and the density of energy was effectively infinite. I suppose "is there a long term limit of energy density" and certainly we could never create something that recreates the conditions during the big bang. However, given certain conditions there is no 'limit' other than practical ones. Even during baryogenesis the photon density woudl have been unbelievably large.

The trident process I refereed to in the thread about the laser generation of particle pairs is not the same as what occurred during and before baryogenesis. The matter dominated phases at around baryogenesis occurred more due to condensation of energy as the pressure reduced with expansion, not something that would have fundamentally happened if magical forces prevented the drop in pressure.
 
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Daedalus685

Golden Member
Nov 12, 2009
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Pun!

Yes, photons are guage bosons, but there is a limit, we just don't know it yet...

Well, there doesn't 'have' to be a limit but all of our physics breaks down long before we reach what is assumed to be going on at the time of the big bang. At a certain limit all of the forces likely combine, the gauge bosons as well... and really who knows what goes on at those limits.

Also, I thought that pun was clever... perhaps a bit lame.. ;)

All this is more or less semantics though... In all practical purposes any number of a thousand other physical properties prevent photon densities from every getting arbitrarily large. Just that at one point in the universes life (and if we ever do create another one) the density was approaching infinite though at the time you'd be hard pressed to find a human being that could perfectly grasp what was going on.
 

silverpig

Lifer
Jul 29, 2001
27,703
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Continue... :'(


I was not aware of any matter-antimatter creation involving high energy lasers other than 'conventional' pair production. Which would not have been possible in the early universe without matter already in existence.

Radiation domination of the universe occurred well before baryogenesis occurred. The photon density was far far far greater than that of the most extreme locations in the universe today. There was a phase when no matter existed at all, and the density of energy was effectively infinite. I suppose "is there a long term limit of energy density" and certainly we could never create something that recreates the conditions during the big bang. However, given certain conditions there is no 'limit' other than practical ones. Even during baryogenesis the photon density woudl have been unbelievably large.

The trident process I refereed to in the thread about the laser generation of particle pairs is not the same as what occurred during and before baryogenesis. The matter dominated phases at around baryogenesis occurred more due to condensation of energy as the pressure reduced with expansion, not something that would have fundamentally happened if magical forces prevented the drop in pressure.

Baryogenesis refers to the overproduction of matter as opposed to anti-matter. Before that time there was baryonic matter in the form of quark-gluon plasma, and this formed just after inflation at 10^-37 seconds or so.

A radiation dominated universe existed for many thousands of years, but that just means that its energy density was greater than that of matter, not that the energy density was sufficient to cause pair production.
 

Daedalus685

Golden Member
Nov 12, 2009
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Baryogenesis refers to the overproduction of matter as opposed to anti-matter. Before that time there was baryonic matter in the form of quark-gluon plasma, and this formed just after inflation at 10^-37 seconds or so.

A radiation dominated universe existed for many thousands of years, but that just means that its energy density was greater than that of matter, not that the energy density was sufficient to cause pair production.

Yes, I know what baryogenesis is, it is the only pre nucleosynthesis phase I could remember a name for though :(. I should have just said pre inflation instead of pre baryogenesis. I was referring to before it though, not during. I was meaning to use it as an example of a phase when matter existed but was still profoundly radiation dominated (really "bright" ;) ). Hence before would have had even greater photon density when the quarks themselves were created.

Also know what a radiation dominated universe is, but my point was that the models we currently use (up to a point) have radiation contribution that increases in the past, and was much higher before inflation. (seems silly to use the word much there.. I ate much too much pizza last night too... but that doesn't mean a trillion trillion slices of pizza. :) ) I did not mean to imply the radiation domination phase was short or that it meant immediate creation of matter, but it ended due to a lack of density allowing the condensation into matter and an increase in its free path (separation of forces). It seemed to me you were implying that given enough energy density of radiation matter creation is unavoidable (it may be) and that this matter creation would cap off the density.

In the extreme past radiation energy density increases greatly as one moves backwards. As one approaches singularity there is no fundamental point were a nearly pure radiation universe will become "matter" or the density of energy would peak (that I am aware of, please point me towards something to the contrary). I would consider this that there is no logical max to "brightness" in the terms of radiation energy density. It can always increase given rather ridiculous conditions.

Mind you, given a universe so dense that a quark could not exist our physics is not sufficient to describe what "matter" might have looked like. I just don't think anyone knows enough about these conditions to say one way or another if there is logical peak to the density. If one actually were to observe the big bang I'd expect them to observe near infinite photon density as the singularity is approached (whether it was ever even a singularity or not doesn't make a difference). I'm sure there exist some quark stars around, but even at some point a quark cannot exist given sufficient pressure (hence black holes). What matter would have existed in these situations when the entire universe was on the orders of density not seen outside a collapsing neutron star today? I'm quite curious.

That is all just a round about way of saying that it is my understanding that the universe began as almost purely radiation dominated and at nearly infinite density. Hence, it is "possible" to reach any level of brightness desired if it is defined as photon density. All that besides the stellar evolution physics that I do understand pretty well that prevent something brighter than the super massive stars from ever being observed.

Edit: I apologize for being all over the place.. But I suppose my assumption is that we can define something like a photon during the grand unification epoch... But I suppose this might be meaningless. As energy density increases all of the forces would likely merge. In this kind of configuration I don't suppose a photon (gauge boson for electromagnetism) would really have a meaning. Kind of a moot point. So while energy density could reach nearly anything up to the plank epoch where quantum gravity (and theories we don't yet have) would dominate I'm not sure if saying photon density increases would be valid at all.
 
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sjwaste

Diamond Member
Aug 2, 2000
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< mild attempt at humor >

The math is simple. The forumla is:

{maximum brightness} = 1 / {ultimate black}

< /mild attempt at humor >
icon3.gif
:cool:

It's like, how much more black could this be? And the answer is none. None more black.
 

AluminumStudios

Senior member
Sep 7, 2001
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I am by no means a physics expert, but we know that matter warps the fabric of space-time and too much matter warps it to the point where it curves in on itself (aka blackhole), and physics begins to run crazy.

I heard before that energy (aka radiation) also affects space-time and that sufficient amounts of it in one space could also begin to affect space-time. There is an African-American physicist (I can't recall his name, it's NOT Neil DeGrasse Tyson (who is too cool for words btw)), who developed a theory that it could be possible to send particles back in time by warping space-time with lasers.

If there was a way to put that much energy in one space, my guess would be that it would warp space-time and cause some bizarre effect like a wormhome, blackhole, etc. Essentially I suspect there is an upper limit to how much radiation can occupy one area.
 

Ninjahedge

Diamond Member
Mar 2, 2005
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There is no limit we can determine at this point.

The very way you can pass light in two directions w/o it "hitting" each other, you can fill space with as much light as you can generate w/o it effecting each other.

Keep in mind we are not talking about traveling through a medium such as air or fiber optics. They have limited transmissability due to their own absorption, refraction and diffusing of the light energy.
 

Lemon law

Lifer
Nov 6, 2005
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Hold on, we first must ask what light is? Normally we define light as a small subset of the electromagnetic spectrum human eyes can see. That part from about 400 to 750 millimicrons in wavelength. Or if we want to include other species of earth life we can expand that narrow definition. But the point is and remains, most wave lengths of the light spectrum can be caused by electrons falling from one energy state to another in a non-plasma state of matter.

Wen we are talking ever shorter wavelengths are more greater energy density, we can't see wavelengths that short, but no longer can the source of the wave be mere electron orbital falls from one electron orbital to another.

But in that first millisecond after the big bang, I assume one could have almost infinite energy density. But after the big bang, what is the theoretical maximum now?
 

Ninjahedge

Diamond Member
Mar 2, 2005
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Lemon, I do not think he is talking about the energy of an individual photon, but rather how "bright" a light can be.

I may be wrong, but......
 

MrDudeMan

Lifer
Jan 15, 2001
15,069
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Yes there is. If you put enough photons in one place, they'll start to turn into normal baryonic matter. This has been seen in some recent high energy laser experiments.

I think this needs to be quoted as several responses are in contradiction with it.
 

Shmee

Memory & Storage, Graphics Cards Mod Elite Member
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Sep 13, 2008
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A bit off topic, but I do believe QUASARs are the brightest objects know.

And here is a good question, is there a hypothetical shortest wavelength/highest frequency? I seem to think yes, perhaps given E=hv (energy of photon=planck constant*frequency), E=hc/wavelength,
the shortest wavelength would be = hc/E = (6.626*10^-34 js * 3.02*10^8 m/s)/E where E is the maximum energy of a single electron. What would this be?

Tell me if my reasoning seems good so far. Also, there is something called the planck length, which might represent a minimum wavelength?
 

jibberegg

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Nov 30, 2010
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This thread has been quiet for a while, but hey, it's an interesting problem so here's my take on it...

The "limit of photons in a box" kind of question can be answered in terms of the diminishing returns seem by adding more photons/energy to any given unit of space. As the energy density increases, there will be an increase in the creation of particle/anti-particle pairs. If we take the classic electron/positron pair as the lowest energy pair available for creation then we can do some "fun" maths...

Using our old friend E=mc^2 we see that the energy required for a e/p pair is about 8.19e-14J

It's no good if this energy is spread out across the whole universe; We need to get this energy together in roughly the same place. The nominal spacial distribution of a (point like) election is approximately the cube of it's Compton wavelength. Using the usual lambda = h/mc formula we get a wavelength of ~3.9e-13m and a volume of 5.8e-38m^3.

So we have an absolute energy value and a first order approximation for the volume of space to put it in, thus giving us an energy density of...

1.4e24 J/m^3

Photons come in a variety of energies, but if we take some ~500nm visible light with an energy of ~4e-19J then we get a maximum number of photons as...

3.5e42/m^3

This is an absolute shed load (to use the technical term) and could do with some context to make it a bit more relatable. High energy lasers tend to use intensity of light on a surface as opposed to energy density so using Intensity = (E/v)*c we get an intensity of...

4.2e32W/m^2

...compared with high energy lab laser outputs of around ~1.0e25W/m^2. We've got a fair few orders of magnitude left to go in other words! Plenty of brightness left to get...

Hope this has helped!
Dave
 

Lazarus52980

Senior member
Sep 14, 2010
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I was reading this and asked a friend of mine about it (He has a PHD in mathematics). Here is his reply:

I believe that the posted answers seem simplistic. The coworker three cubes down from me has a PhD in high-energy physics, and he explained that while the number of photons in a given volume is not limited, their total energy is limited to some constant times the fourth power of the volume’s temperature, in degrees Kelvin. And all these photons would exert a tremendous “radiation pressure” trying to escape this volume, which is what keeps stars from collapsing into supernovas or black holes under their huge gravity.

My initial though was "Who on earth has a job where the guy 3 cubs down has a PhD in HIGH ENERGY PHYSICS?!?". Either way, an strong reply IMO.