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General Science => General Science => Topic started by: Aeris on 13/10/2021 15:51:16

Title: How can photons have momentum but no mass?
Post by: Aeris on 13/10/2021 15:51:16
So the original question that used to be here was about what the laws of physics are, but... I realized that I could not for the life of me think of a decent way to word what I was actually asking, not to mention the question itself didn't really make a lot of sense when spoken out loud. So I decided to change the question to be about something a little less ambiguous. Photons. Just gonna jump right into this one again instead of saying anything else.

1. So... Photons lack mass (you know, the thing that gives an object its weight and the ability to impart a force onto another object), yet they carry momentum capable of... moving solid objects? What? How on Earth does this work exactly? How can something with no mass, carry momentum and more importantly, where does the momentum even come from?
2. What exactly are Photonic Molecules?
3. Photons are capable of transferring light (electromagnetic energy) as radiation, but why is light the only form of energy that has the ability to move as a particle? Why don't other forms of kinetic energy like heat and sound have their own particles to move as?
4. When the Sun radiates its energy as a storm of particles, many of them travel throughout space, all the way to the planets around it such as Earth, Mars, Venus and the Moon. Once the energy reaches those planets, they radiate an equal amount of energy away back into space in the form of infrared photons and useless radiation. What about the particles that don't reach anything though, and bolt of into the unobservable universe? There's no air or stone to steal the particles energy away, so do they hold onto that energy forever, or do they eventually loose it through a radiation-like process?
5. How feasible on a scale of 1 to 10 (1 being not at all feasible and 10 being very feasible) is the idea of a Photon blaster/cannon? Think of something like Star Trek's particle cannons, but with Photons instead of electrons/protons. Could we realistically weaponize Photons like this? Just for the record, I know I'm more or less describing a laser, but I was thinking more along the lines of Star War's blasters, or Iron Man's Repulsors. Would something like THAT be possible?     

     
Title: Re: How can photons have momentum but no mass?
Post by: Origin on 13/10/2021 18:16:21
They seem to be woven into the very fabric of the universe, but what do they manifest as?
Not sure what you mean by that.  For instance the conservation of energy is manifested as energy being conserved.
Did they always exist, or did the big bang create them?
Physical laws came into existence as a result of the big bang.
Let me put it in a way that's easy to understand. Some people on Earth have a genetic disability called Autism, which manifests in the brain (which is different from a neurotypical's brain) and brings about said people's difficulty in social engagement, enhanced sensitivity to bright lights and loud sounds, increased difficulty in focusing on others, etc. If the laws of physics are the effects of Autism, what is the thing it manifests as and brings those effects about (does this analogy make any sense? let me know if it doesn't)?   
That analogy doesn't help, it complicates and muddies the water.
Title: Re: How can photons have momentum but no mass?
Post by: chiralSPO on 13/10/2021 21:52:30
Ok, so remember that time I asked about what energy is? Do you also remember the time I asked about why Conservation of Energy can't be violated? Well consider this question a fusion between those two.

The laws of physics, as everyone already knows, are statements made about the way the universe works based on carefully-calculated observations. They define the line between what's possible and impossible in our lives, and as far as we're currently concerned, cannot be broken in any way whatsoever.

But like, what are they exactly?

The universe is complex. Far too complex for our simple meatbrains to comprehend. Luckily, we are resourceful, and have figured out how to imagine simplified "models" of the universe: where we propose sets of "rules" for a "game" and if the "game" mimics what we see in the universe, then it might be a useful model. It is important to point out that all models are wrong. (they are vast oversimplifications) But it doesn't matter if the models are not an accurate depiction of what is "truly" happening, they are still very useful.


The "laws of physics" are rules that it appears the universe ALWAYS obeys. Said another way: every model of the universe that gives good predictions has these sets of rules in common. (Note: it is totally possible to have models that are useful that don't take some of these into account, ie I don't need to use relativistic quantum mechanics to predict that a watermelon will roll off a sloped table.)


The laws of physics aren't like societal laws that are made by those in power and, if broken, result in you going to prison. They seem to be woven into the very fabric of the universe, but what do they manifest as?

I'm not quite sure what you mean. They were deduced from observation of how the universe is. They manifest as how the universe is. But that is circular, so let's jut focus on the first one: they were deduced from how the universe is.

 
Did they always exist, or did the big bang create them?

It's hard to say anything about "before the big bang"

Let me put it in a way that's easy to understand. Some people on Earth have a genetic disability called Autism...

how does that make it any easier to understand? autism is an emergent property of extremely complex systems (and as I understand it, there are multiple causes and forms of autism, which may be incorrectly lumped together, but that is a subject for a different thread)
Title: Re: How can photons have momentum but no mass?
Post by: alancalverd on 13/10/2021 23:13:00
Physics is the business of constructing mathematical models of things that happen. And if you are a structural or civil engineer, also models of things we don't want to happen!

The laws of physics are those models that seem to apply to every event, to such a degree of precision that we consider them immutable and universal. At least until we come up with a measurement that violates them.

So we have conservation of energy as a law, except that we can transmute mass and energy in exceptional circumstances so we need to redraft the law in terms of relativistic mechanics, and so far the relativistic corrections to newtonian mechanics seem to hold to a very high degree of precision. Conservation of charge and momentum seem to be very precise laws.

Inverse square laws like gravitation and the intensity of radiation are more idealised than we can measure, because every body that sucks or radiates is necessarily larger than a mathematical point source, but it is clear that reality approximates to the law for small sources and large distances.

It's a pity that the word "law" has survived from the days when it was presumed that events in the universe were ordained by an external entity and thus ran like a dictatorship. It would make more logical sense to call them "best working approximations", thus recognising that they are descriptive and predictive, not prescriptive.

Not all laws are equations. The most fundamental and annoying inequality is  ΔS > 0, i.e. entropy always increases.
Title: Re: How can photons have momentum but no mass?
Post by: evan_au on 14/10/2021 03:47:59
Quote from: OP
Just What Exactly are the Laws of Physics?
Well, we can't exactly tell you, because we haven't worked them all out, yet.

https://en.wikipedia.org/wiki/List_of_unsolved_problems_in_physics
Title: Re: How can photons have momentum but no mass?
Post by: Origin on 14/10/2021 15:55:41
First of all, deleting your OP and writing another OP is an absurd thing to do!!!  All the original answers make no sense now.  Start another thread next time. ::)
How can something with no mass, carry momentum and more importantly, where does the momentum even come from?
The momentum comes from the energy of the photon.
Photons are capable of transferring light (electromagnetic energy) as radiation
No, photons are light.
but why is light the only form of energy that has the ability to move as a particle?
Photons are not a form of energy. 
 
There's no air or stone to steal the particles energy away, so do they hold onto that energy forever
If you are talking about the solar wind, the yes they go on forever if they never interact with anything.
How feasible on a scale of 1 to 10 (1 being not at all feasible and 10 being very feasible) is the idea of a Photon blaster/cannon? Think of something like Star Trek's particle cannons, but with Photons instead of electrons/protons. Could we realistically weaponize Photons like this? 
10.  We call it a laser.
Title: Re: How can photons have momentum but no mass?
Post by: Eternal Student on 14/10/2021 17:35:13
Hi.

You might be worrying about your posts too much, Aeris.
    Realistically, hardly anyone is likely to ever look at the thread again after it gets old.   You've gone back and edited your Original post (OP) for very little reason.  When I started on this forum, I thought posts might be quite important and people might read them for a long time after they were finished - but it's not like that.
    The number of regular members using this forum is about one dozen people per day.  Most of the rest of the views that are reported in the statistics are likely to be people who were curious about the forum but not really about your particular post and there's always plenty of people who were keen to see if they could just drop some advertising into something you've written.
     I'm inclined to support the spirit of what @Origin has said.  Starting a new thread is going to work better rather than completely re-writing the OP.  Some of the people who have already replied may not even realise that the OP has shifted it's nature and so they won't even know there are new questions.

How can something with no mass, carry momentum and more importantly, where does the momentum even come from?
   It might be worth turning this question around a little.   Don't be so certain that a photon has 0 mass in any real sense .   All we know is that in any inertial reference frame a photon has momentum and energy.
    Just consider what the rest mass of a photon might actually be.  We say that it is 0  (zero)   but we have no way of measuring it directly.   To measure the rest mass of a particle we need to be in a frame of reference where the particle is at rest.   There isn't a rest frame for a photon.  There is no inertial reference frame where a photon would be at rest, it must always have velocity c  in any inertial reference frame.  Whatever the qunatity we call the "rest mass" of a photon might be it is a bit abstract, it isn't telling us anything about the mass of a photon when it's at rest.
     We have equations like this from Special relativity:
E2  =  m02.c4  + p2.c2    and from this we can infer that the quantity  m0   must be 0 for a photon.   We call this the rest mass but in the case of a photon, it's just a quantity,  an abstract quantity.

    So, we could answer your question by saying there is a fault in the question:  You are attempting to use a simple expression for momentum like  mv    but  the mass you need to know, m,  is not 0,  it is undetermined.   The rest mass of a photon is 0 but this is an abstract quantity and not a description of the mass of a photon when it's at rest (despite the name "rest mass").

Best Wishes.
Title: Re: How can photons have momentum but no mass?
Post by: Aeris on 14/10/2021 18:04:15
First of all, deleting your OP and writing another OP is an absurd thing to do!!!  All the original answers make no sense now.  Start another thread next time. ::)

I admit in retrospect, it was a poorly thought out idea. I just didn't wanna a question that made no sense when spoken out loud (I'll admit, even I wasn't 100% certain what it was I was originally asking) to sit here and collect dust. That... and the website physically would not allow me to delete the question for some weird reason. I'll keep this in mind for next time though, don't you worry.

Quote The momentum comes from the energy of the photon.

That doesn't make an atom of sense. Are you saying there's some kind of energy to matter conversion happening during a photon's journey from one location to another? Is energy being converted directly into momentum (how the actual duck would THAT even work?)? What does this answer mean exactly?

Quote No, photons are light.

Quote Photons are not a form of energy. 

This feels like a contradiction. You say Photons themselves are light, but then you immediately say shortly afterwards that they aren't a form of energy. Now, you could argue that light itself isn't a form of energy, but, like, there's absolutely no reason at all to think that, or did you just forget about the existence of solar panels? Eternal Student has also stated that Photons aren't made out of light energy, but are rather carriers of it so... which is the correct answer then? Are photons made out of energy, or do they merely carry it? Is light itself a form of energy, or is it something distinct from energy and matter entirely?
     
Quote We call it a laser.

Ok, yeah. I deserve this for not being descriptive enough. I know that real-life laser beams are capable of inducing blindness and can even defect/ignite matter through a conversion of light energy to thermal energy. Those weren't the kind of light-based weapons I had in mind though. I was referring to something akin to the blaster from the Star Wars franchise. You know, blasts of concussive light capable of imparting the same level of force onto their victims as a bullet, melting through metallic matter in an instant and levelling entire cities/planets. Is something like THAT possible?
Title: Re: How can photons have momentum but no mass?
Post by: Aeris on 14/10/2021 18:24:26
Hi.

You might be worrying about your posts too much, Aeris.
    Realistically, hardly anyone is likely to ever look at the thread again after it gets old.   You've gone back and edited your Original post (OP) for very little reason.  When I started on this forum, I thought posts might be quite important and people might read them for a long time after they were finished - but it's not like that.
    The number of regular members using this forum is about one dozen people per day.  Most of the rest of the views that are reported in the statistics are likely to be people who were curious about the forum but not really about your particular post and there's always plenty of people who were keen to see if they could just drop some advertising into something you've written.
     I'm inclined to support the spirit of what @Origin has said.  Starting a new thread is going to work better rather than completely re-writing the OP.  Some of the people who have already replied may not even realise that the OP has shifted it's nature and so they won't even know there are new questions.

Really? I wasn't under that impression at all. Tons of people have come to give their answers to my past questions (my question about the true nature of energy is like 3 pages long with over 40 replies). I've also never seen a single person drop even a little bit of advertisement into their answer once, but maybe I didn't look hard enough for it at the time.

I agree with your second paragraph though. Changing the question from the ground-up instead of asking a new one was very silly of me and I promise never to do it again. You have my word on that (like, seriously the words telling you I will never do this again are right there on your screen and not going away anytime soon).


Quote It might be worth turning this question around a little.   Don't be so certain that a photon has 0 mass in any real sense .   All we know is that in any inertial reference frame a photon has momentum and energy.
    Just consider what the rest mass of a photon might actually be.  We say that it is 0  (zero)   but we have no way of measuring it directly.   To measure the rest mass of a particle we need to be in a frame of reference where the particle is at rest.   There isn't a rest frame for a photon.  There is no inertial reference frame where a photon would be at rest, it must always have velocity c  in any inertial reference frame.  Whatever the qunatity we call the "rest mass" of a photon might be it is a bit abstract, it isn't telling us anything about the mass of a photon when it's at rest.
     We have equations like this from Special relativity:
E2  =  m02.c4  + p2.c2    and from this we can infer that the quantity  m0   must be 0 for a photon.   We call this the rest mass but in the case of a photon, it's just a quantity,  an abstract quantity.

    So, we could answer your question by saying there is a fault in the question:  You are attempting to use a simple expression for momentum like  mv    but  the mass you need to know, m,  is not 0,  it is undetermined.   The rest mass of a photon is 0 but this is an abstract quantity and not a description of the mass of a photon when it's at rest (despite the name "rest mass").

Best Wishes.

Yeah... I'm gonna level with you buddy. I don't understand a word of what you just said. The only thing (I think) I understood was that the question was inherently flawed due to the way I phrased it. Could you please be so kind as to simplify your answer for me?
Title: Re: How can photons have momentum but no mass?
Post by: Eternal Student on 15/10/2021 03:40:04
Hi.

The only thing (I think) I understood was that the question was inherently flawed
   I need to explain what I meant.

   There's no problem with your question.   There's no "right way" to ask a question, it's your question.  You should ask whatever it is you want to ask.

   When I said there's a flaw in the question, that's not your fault.  It's the way physicist use the term "rest mass" and all the things you would have seen elsewhere and in school.
    If you just pull the term "rest mass" apart as if it's a phrase in the English Language then it would mean the mass that a photon has when it's at rest.   However, this is not something sensible.   It would have been better if Physicist's had always called this thing  "the invariant mass" because then everyone would know it was something special with a precise definition.    However, that is not my decision to make.  Historically, "the invariant mass" has been called the "rest mass".   All we can do now is to make it clear that this isn't the mass that a photon would have when it's at rest.

   I've decided to cut down my original post, it was far too long and you probably aren't that interested in the details anyway.
   Special relativity demands that light will always travel at the speed of light, c  (in any inertial frame - but I'm not going to discuss inertial frames here - so I'll just say  "in all sensible situations").  So it is not possible for a photon to be stationary in any sensible situation.  In particular, we have no hope of measuring the mass of a photon when it is at rest because it just can never be at rest.
     Therefore the "rest mass" of a photon is just an abstract quantity and we should really call it the "the invariant mass" so that everyone knows it's an abstract, generalised or ideal thing and not something we can actually measure directly.

     The next important thing is that you have probably read or been taught that    momentum = mass x velocity.    This is probably why you are concerned about the photon having 0 mass   but still having a non-zero momentum.
     There are at least two ways we can address this issue.   The first is to say that many physicists were also troubled about this.  It's a very good question to ask and something that does seem quite puzzling.
      [** See LATE EDITING, below]    Physicist's were sufficiently determined to maintain this simple concept of momentum that they developed a quantity called "relativistic mass".   They accepted that the invariant mass of a photon wasn't anything you could ever really measure, it certainly wasn't going to be measured as the mass of the particle when it was at rest in some inertial frame.  So they determined that the invariant mass wasn't something that should be used in that formula     momentum = mv.     The "relativistic mass" is something you can almost measure, you can certainly infer it's value from some simple observations, and this is what you needed in that formula.    So we could answer your question by saying that although a photon has 0 invariant mass   (or  0 "rest mass"),  it has a non-zero relativistic mass  and that's what's needed to allow it to have momentum.   [**]

      More recently, the idea of "relativistic mass" has gone out of favour.  It's best if we just don't use it and only use the quantity called invariant mass.  In this situation we still have a problem  with the simple formula   momentum = mv   but we're not encouraged to modify the mass term, m in order to fix that equation.   We have to accept that the momentum is NOT given by the expression  mv.     Instead the momentum of a particle is obtained from a more complicated structure called the four-momentum.    You probably don't want a full explanation of what a four-momentum is  (there are references on Wikipedia and/or textbooks  and you could always ask if you really did want to know about this more complicated structure).
     Anyway, we could now answer your question by the second method:   We could state that momentum isn't exactly what you thought it was or might have been taught at school.  It never really was given by the simple expression    momentum = mv.   That expression is just an approximation that holds well for slow particles.   Momentum was really obtained from a more complicated structure, the four-momentum, and there was never any requirement for the invariant mass to be non-zero in order for a particle to have a non-zero momentum.
     
   Let's put this directly into action on the original question:
So... Photons lack mass (you know, the thing that gives an object its weight and the ability to impart a force onto another object), yet they carry momentum capable of... moving solid objects? What? How on Earth does this work exactly? How can something with no mass, carry momentum and more importantly, where does the momentum even come from?
  1.   Photons have 0 invariant mass but this is just an abstract thing.  We could never directly measure the mass of the photon when it's at rest.  So the mass of a photon is actually undetermined, all we know is it's "invariant mass" and, if we wish to calculate it and use it, "the relativistic mass".
  2.   Mass doesn't give a particle weight.   This requires gravity and gravity acts on any source of something we often call "stress-energy" or "energy-momentum"  -  mass is just one common example of this "stress-energy".  To phrase it another way, mass is NOT required.  Anything with momentum and energy will be a source of gravity and anything with momentum and energy will be influenced by gravity.
  3.   The ability to impart a force onto another object is granted by many things.  You were presumably talking about direct physical collision and the transfer of momentum.  This only requires that the incident object has some momentum and in the formal definition of momentum  (from four-momentum) this does not require the incident particle to have a positive invariant mass.  Non-zero mass is only required in the simple model of momentum that might be taught in school and/or applies adequately for slow particles.
  4.    "How on earth does this work exactly?"  It rests upon a decision to give up the school definition of momentum and recognise that it has limits.  You can't save the school definition of momentum = mv  when considering fast particles.  You can either "tweak it" by using a quantity called "relativistic mass" or else directly utilise a better definition of momentum.

Best Wishes.

LATE EDITING    The paragraph marked   [**]  at the start and end is not intended to be a histroically accurate description of the development of the term "relativistic mass".  It is just a rapid connection between an issue presented by the OP  and  similar issues that would trouble many physicists.  See Post #22 and #23 for discussion.
Title: Re: How can photons have momentum but no mass?
Post by: Aeris on 15/10/2021 12:15:07
@Eternal Student

Thank you for rewording your answer for me. I understand it a lot better now :)
Title: Re: How can photons have momentum but no mass?
Post by: alancalverd on 15/10/2021 14:50:26
IIRC Einstein's argument was a lot simpler.

Imagine a box full of electromagnetic energy - i.e. photons bouncing off the walls.
Allow one side of the box to move.
Common sense (and a few very clever observations) says that it will move outwards, reducing the energy density inside  the box. 
So we have imparted some momentum to the wall - or the solar sail
Conservation of momentum says that if we have added mv to the wall, we must have  added -mv to the contents of the box
Thus photons can impart momentum, so they must have momentum.
 
Title: Re: How can photons have momentum but no mass?
Post by: Aeris on 15/10/2021 15:01:21
IIRC Einstein's argument was a lot simpler.

Imagine a box full of electromagnetic energy - i.e. photons bouncing off the walls.
Allow one side of the box to move.
Common sense (and a few very clever observations) says that it will move outwards, reducing the energy density inside  the box. 
So we have imparted some momentum to the wall - or the solar sail
Conservation of momentum says that if we have added mv to the wall, we must have  added -mv to the contents of the box
Thus photons can impart momentum, so they must have momentum.

So... energy is being converted directly into momentum? Is that what you're saying basically?
Title: Re: How can photons have momentum but no mass?
Post by: Halc on 15/10/2021 15:09:54
Conservation of momentum says that if we have added mv to the wall, we must have  added -mv to the contents of the box
Thus photons can impart momentum, so they must have momentum.
So... energy is being converted directly into momentum? Is that what you're saying basically?
Well yes. I have chemical energy in me, and I can convert that to momentum by moving. This is probably not direct since several chemical reactions are involved, but the light example isn't direct either. Light has energy (and momentum), but light isn't energy (or momentum) itself.

In Alan's example, so long as the system remains closed, the total momentum is still zero (mv + -mv) so momentum is still conserved, but the momentum of the one wall (not a closed system) has definitely changed, and that was due only to the light applying a net force on it.
Title: Re: How can photons have momentum but no mass?
Post by: alancalverd on 15/10/2021 15:50:14
Not so much conversion of energy to momentum, which would offend three conservation principles, but the degradation of energy (increasing entropy) separating momentum vectors.
Title: Re: How can photons have momentum but no mass?
Post by: Eternal Student on 15/10/2021 17:19:00
Hi again.

I was also going to address this point:
Tons of people have come to give their answers to my past questions (my question about the true nature of energy is like 3 pages long with over 40 replies). I've also never seen a single person drop even a little bit of advertisement into their answer once, but maybe I didn't look hard enough for it at the time.
   This thread, I think is the one you refer to:    https://www.thenakedscientists.com/forum/index.php?topic=83150.0
It didn't have as many responses as you might have thought.  It's showing as two pages and if I counted correctly, only 8 people (plus yourself) commented on it.  Half of these people were moderators, so there were almost obliged to engage with people who post.

    I often look at the statistics on the main page when I first log on.  Quite often I'll be the only one loged on.

As regards advertising.  Here's some info from a moderator on another thread:
.....Then came the realisation that internet advertising was good, coupled with the development of bots and we started getting 200 spams a day - more than legitimate posts. Even now the main site can get over 500 a day and recently one of our mods took down 64.....

    Don't get me wrong.  I quite like this forum but it's worth recognising that it is actually a really small forum in comparison to many others.

Best Wishes.
Title: Re: How can photons have momentum but no mass?
Post by: Aeris on 15/10/2021 18:10:02
Quote Light has energy (and momentum), but light isn't energy (or momentum) itself.

Ok, so if light isn't energy or matter (I'm at least 99% confident in saying that light most definitely is not matter), what the hell is it then? 
Title: Re: How can photons have momentum but no mass?
Post by: Aeris on 15/10/2021 18:13:45
Hi again.

I was also going to address this point:
Tons of people have come to give their answers to my past questions (my question about the true nature of energy is like 3 pages long with over 40 replies). I've also never seen a single person drop even a little bit of advertisement into their answer once, but maybe I didn't look hard enough for it at the time.
   This thread, I think is the one you refer to:    https://www.thenakedscientists.com/forum/index.php?topic=83150.0
It didn't have as many responses as you might have thought.  It's showing as two pages and if I counted correctly, only 8 people (plus yourself) commented on it.  Half of these people were moderators, so there were almost obliged to engage with people who post.

    I often look at the statistics on the main page when I first log on.  Quite often I'll be the only one loged on.

As regards advertising.  Here's some info from a moderator on another thread:
.....Then came the realisation that internet advertising was good, coupled with the development of bots and we started getting 200 spams a day - more than legitimate posts. Even now the main site can get over 500 a day and recently one of our mods took down 64.....

    Don't get me wrong.  I quite like this forum but it's worth recognising that it is actually a really small forum in comparison to many others.

Best Wishes.

Meh. Still a more reliable site to learn about science than anything else on the Internet I've come across (not to mention way friendlier).
Title: Re: How can photons have momentum but no mass?
Post by: Eternal Student on 15/10/2021 23:13:31
Hi.

Ok, so if light isn't energy or matter (I'm at least 99% confident in saying that light most definitely is not matter), what the hell is it then? 
    At school level (let's say under 16 years of age).  Light is one form of energy.  That's it, full stop.  ....Well, almost, for some UK examination syllabuses  energy is NOT considered to have forms, there are just some stores of energy - but let's not worry too much about that for the moment.  If you said light was one form of energy you'd get that marked right most of the time.

    At University level, it's much harder to define what energy is.  I think you (Aeris) have started other threads about this.   Energy becomes a much more abstract quantity - just some number you can calculate and it stops being considered as any sort of substance or physical thing in it's own right.    With this idea, light isn't made of energy because energy just isn't any kind of physical substance.  Instead, light just carries some energy or has some energy value associated with it.

   So what is light at University level?  Well, it's interesting and I'm sure I don't have the definitive answer.
We want both of these things:
1.   It's something that exhibits both wave-like  and particle-like properties.
2.   On macroscopic scales, classical Electric and Magnetic fields seem to permeate all of space and light is a special type of oscillation or excitation in those fields.

   There is a model describing light as a classical electro-magnetic wave, which is true enough or good enough for most purposes at University.  It doesn't describe the particle-like behaviour all that well, we need some sort of qunatum model for that.

  And we often end-up with this conclusion:
3.   A quantum field theory seems the best model to explain what light is and how it behaves.  There is a fundamental field (which permeates all of space) for every particle in the standard model of particle physics.   So a photon is a quantised excitation of the underlying electromagnetic (or photon) field.
   I'm sorry, that probably doesn't help much.  It just says that fields may be the most (or the most so far) fundamental things in the universe and all particles are just excitiations in these fields.  This is unlikely to be the final story, it's just one of the best and most up-to-date that I'm aware of.  String theorists probably have their own opinions (which I know incredibly little about).

Best Wishes.
Title: Re: How can photons have momentum but no mass?
Post by: Aeris on 16/10/2021 20:30:53
Hi.

Ok, so if light isn't energy or matter (I'm at least 99% confident in saying that light most definitely is not matter), what the hell is it then? 
    At school level (let's say under 16 years of age).  Light is one form of energy.  That's it, full stop.  ....Well, almost, for some UK examination syllabuses  energy is NOT considered to have forms, there are just some stores of energy - but let's not worry too much about that for the moment.  If you said light was one form of energy you'd get that marked right most of the time.

    At University level, it's much harder to define what energy is.  I think you (Aeris) have started other threads about this.   Energy becomes a much more abstract quantity - just some number you can calculate and it stops being considered as any sort of substance or physical thing in it's own right.    With this idea, light isn't made of energy because energy just isn't any kind of physical substance.  Instead, light just carries some energy or has some energy value associated with it.

   So what is light at University level?  Well, it's interesting and I'm sure I don't have the definitive answer.
We want both of these things:
1.   It's something that exhibits both wave-like  and particle-like properties.
2.   On macroscopic scales, classical Electric and Magnetic fields seem to permeate all of space and light is a special type of oscillation or excitation in those fields.

   There is a model describing light as a classical electro-magnetic wave, which is true enough or good enough for most purposes at University.  It doesn't describe the particle-like behaviour all that well, we need some sort of qunatum model for that.

  And we often end-up with this conclusion:
3.   A quantum field theory seems the best model to explain what light is and how it behaves.  There is a fundamental field (which permeates all of space) for every particle in the standard model of particle physics.   So a photon is a quantised excitation of the underlying electromagnetic (or photon) field.
   I'm sorry, that probably doesn't help much.  It just says that fields may be the most (or the most so far) fundamental things in the universe and all particles are just excitiations in these fields.  This is unlikely to be the final story, it's just one of the best and most up-to-date that I'm aware of.  String theorists probably have their own opinions (which I know incredibly little about).

Best Wishes.

You know, it's funny. I LITERALLY just had an online chat with a cosmologist yesterday evening and one of the things he said to me was that matter, as we currently know it, may not actually exist at all. Fields exist, and particles such as Protons, Neutrons and Electrons are merely excitations of those fields (or something like that, I don't 100% remember what he said and my dumb ass was too lazy to write anything he said down). At any rate though, I do understand most of what you're saying. Mostly that we have very little idea what light actually is.
Title: Re: How can photons have momentum but no mass?
Post by: Eternal Student on 16/10/2021 22:23:28
Hi again.

It might be time to move on to your second question:
2. What exactly are Photonic Molecules?
   Sorry, I have very little idea.      There's some reference on Wikipedia:   https://en.wikipedia.org/wiki/Photonic_molecule

   I'm guessing you're interested in the science-fiction potential for these things.  I'm sorry I can't help but maybe someone else will know something about photonic molecules.

Best Wishes.
Title: Re: How can photons have momentum but no mass?
Post by: Halc on 16/10/2021 23:12:06
You know, it's funny. I LITERALLY just had an online chat with a cosmologist yesterday evening and one of the things he said to me was that matter, as we currently know it, may not actually exist at all. Fields exist, and particles such as Protons, Neutrons and Electrons are merely excitations of those fields
Classic things often tend not to exist in the quantum realm, so 'matter' is just a classical thing that defies close analysis, just as a rock (or the moon) might have a classic location in space even when nobody is looking, but that location defies close analysis. Fundamental things don't have a size and thus no density, but that doesn't mean that a rock doesn't have a density.
Yes, I agree that on close inspection, matter as we classically conceive it doesn't exist.
Title: Re: How can photons have momentum but no mass?
Post by: Colin2B on 19/10/2021 21:07:37
You know, it's funny. I LITERALLY just had an online chat with a cosmologist yesterday evening and one of the things he said to me was that matter, as we currently know it, may not actually exist at all. Fields exist, and particles such as Protons, Neutrons and Electrons are merely excitations of those fields
I agree with @Halc on this, but I think you need to sit down and think what you mean by the word exists.
We generally accept that the table your computer is sitting on exists.
A few hundred years ago no one would have known that it was made of molecules, or of the existence of atoms, electrons, etc. Knowing about those does not change the fact that the table exists, maybe not in the form everyone thought, but still the same at the macro level. I am surprised at your cosmologist, describing Protons, Neutrons and Electrons as merely excitations of those fields really doesn’t answer or change anything, it’s just a lower level of detail. We don’t describe a table as merely molecules.
As Ian Hacking said of electrons "if you can spray them, then they are real."

At any rate though, I do understand most of what you're saying. Mostly that we have very little idea what light actually is.
Actually we we know a great deal about what light is, how it works etc. It is another of those “merely” excitations of a field, and that means we can understand it in ways we couldn’t before.

Hi ES. I would like to offer an alternative view on this:
The next important thing is that you have probably read or been taught that    momentum = mass x velocity.    This is probably why you are concerned about the photon having 0 mass   but still having a non-zero momentum.
    There are at least two ways we can address this issue.   The first is to say that many physicists were also troubled about this.  It's a very good question to ask and something that does seem quite puzzling.
     Physicist's were sufficiently determined to maintain this simple concept of momentum that they developed a quantity called "relativistic mass".   They accepted that the invariant mass of a photon wasn't anything you could ever really measure, it certainly wasn't going to be measured as the mass of the particle when it was at rest in some inertial frame.  So they determined that the invariant mass wasn't something that should be used in that formula     momentum = mv.
I may be misreading what you say, but it implies that relativistic mass was ‘developed’ in response to the ‘rest mass’ of the photon being zero, and hence to maintain the concept of momentum for the photon.
The concept of mass varying with relative velocity predates special relativity and the concept of the photon, coming from the work of Lorentz and others. Lorentz was trying to work within a stationary aether theory and postulated that the measuring apparatus designed to detect movement relative to the aether was length contracted (Fitzgerald contraction) and so could never detect the movement. This led to his famous transforms.
There was also parallel work on the concept of electrostatic mass, that a charged body is harder to accelerate than an uncharged one, and this electrostatic mass increases with velocity. Lorentz was working on an electron theory and applying this electrostatic mass via his transforms he developed the concept of relativistic mass (both longitudinal and transverse). Interestingly he also changed the original Newton’s law that “force = rate of change of momentum” into the form we know today, F=ma.
What is really interesting is that Poincaré took the Lorentz transforms and gave them the form we use today. He also showed they were the result of principle of least action, showed that what we call the spacetime interval is invariant, suggested c might be an unsurpassable limit, suggested a clock synchronisation method using light, and suggested gravitational waves might exist. He apparently decided that developing the work would be too much effort for no useful result. So near!
Einstein originally took on the term relativistic mass in his early papers when he showed his famous E2=(m0c2)2+(pc)2 , but spoke against its use later.
Maintaining the concept of momentum for the photon was never an issue, as long as you believe that momentum is conserved (which thou shalt). If the photon has momentum as it leaves the atom, then the atom should recoil, which it does, and that can be measured. Similarly momentum is transferred at the receiving end.
Title: Re: How can photons have momentum but no mass?
Post by: Eternal Student on 20/10/2021 00:28:27
Hi  and especially @Colin2B ,

   What you've said about relativistic mass seems reasonable.  It's also more history than I was aware of and I haven't checked all the details but I'm quite happy to accept what you said.

The original statement probably should be re-phrased:
Physicist's were sufficiently determined to maintain this simple concept of momentum that they developed   had a good reason to cling on to a quantity called "relativistic mass".
    For certain, Relativistic mass was developed as a concept for several reasons and not specifically because there was an issue with photons having momentum.   
    The spirit of what was originally stated does (hopefully) remain intact:   Relativistic mass does help to maintain some relativistic analogues of equations and concepts from Newtonian mechanics.  In particular, a massless particle having momentum does seem strange starting from Newtonian definitions of momentum and using "Relativistic mass" does help to maintain a facade of Newtonian-like concepts.
    (I've also edited the earlier post to include a  **Footnote** to prevent the paragraph being taken as a literal account of any historical development of the term "relativistic mass"). 

Best Wishes.
Title: Re: How can photons have momentum but no mass?
Post by: Eternal Student on 21/10/2021 00:31:04
Hi again.

Let's take another question from the OP:
3. Photons are capable of transferring light (electromagnetic energy) as radiation, but why is light the only form of energy that has the ability to move as a particle? Why don't other forms of kinetic energy like heat and sound have their own particles to move as?
   Well, there is some interest in things called  Phonons   (note the spelling).

In physics, a phonon is a collective excitation in a periodic, elastic arrangement of atoms or molecules in condensed matter, specifically in solids and some liquids. Often referred to as a quasiparticle, it is an excited state in the quantum mechanical quantization of the modes of vibrations for elastic structures of interacting particles. Phonons can be thought of as quantized sound waves, similar to photons as quantized light waves.
- Taken from Wikipedia:  https://en.wikipedia.org/wiki/Phonon

    Personally I still think there is too much emphasis on light being a form of energy.   This was discussed in previous posts.   For school level Physics, yes,  light is listed as a form of energy.   At University level, it isn't necessarily useful to imagine that energy is any kind of substance and so light isn't really made of energy, it just carries some energy or has some energy value associated with it.

Best Wishes.
Title: Re: How can photons have momentum but no mass?
Post by: Petrochemicals on 21/10/2021 01:02:26
Photons could have mass, but my guess is to do with special relativity and the fact that the propagation of light is still mysterious, wave particle duality and quantum mechanics. It does seem strange though.
Title: Re: How can photons have momentum but no mass?
Post by: Eternal Student on 21/10/2021 22:57:14
Hi again,

Let's look at the next question from the OP:
4. When the Sun radiates its energy as a storm of particles, many of them travel throughout space, all the way to the planets around it such as Earth, Mars, Venus and the Moon. Once the energy reaches those planets, they radiate an equal amount of energy away back into space in the form of infrared photons and useless radiation. What about the particles that don't reach anything though, and bolt of into the unobservable universe? There's no air or stone to steal the particles energy away, so do they hold onto that energy forever, or do they eventually loose it through a radiation-like process?

     Photons seem like very stable things, they don't decay into other particles as far as I know, no matter how many billions of years you wait.   The main evidence for this would be the CMB (Cosmic background radiation) - this has been travelling for about 14 billion years  (the entire life of the universe) and we can still observe it today.
     So, if you restrict your attention to the light (and other wavelengths of e-m radiation) which the sun radiates away then this would seem capable of travelling through the universe for eternity if it doesn't come into contact with anything that it would interact with.
      That doesn't necessarily mean that the energy carried by these photons doesn't ever change.   Our best models of the universe show that space is expanding and light redshifts (increases it's wavelength) as it travels through the universe.  This would mean that the photons lose energy as they continue travelling through the universe - but we have to be a bit careful to specify exactly which frame of reference we are using to measure the wavelength.  Let's just be sensible and say we would naturally tend to measure the energy of the photons from a frame of reference that is centred around the sun  (the place where they were originally emitted).   Staying at the sun and always taking measurements from there, we would observe the photons leave with some energy value and that energy value would slowly fall as the years pass by.    (There's a lot of assumptions here but if you're interested in more information there's an entire thread and a recent podcast by the NakedScientists:    https://www.thenakedscientists.com/forum/index.php?topic=83011.0).

     You did say "the sun radiates its energy as a storm of particles" and you're quite correct that it isn't all photons.  The sun also emits other energetic particles - loads of neutrinos but also some larger particles like alpha particles.   First of all the chances of these actually interacting with some other matter eventually are probably larger than you might think.  Space is mostly empty but it is also very big.  There is some interstellar gas spread all over the place and there are plenty of planets, stars and even black holes all with gravity wells that a particle can fall into.   However, let's assume a massive particle can find a trajectory where it avoids contact with anything for billions of years.
     Many massive particles, like Neutrons, are thought to be unstable (reference:  https://en.wikipedia.org/wiki/Free_neutron_decay).  Neutrons are more stable when bound inside a nucleus but given billions of years it seems likely that even these will decay into protons and electrons.  Now it's possible that these smaller things continue to decay but we really don't know and it's quite possible that they don't.  Proton decay is extremely hypothetical and seems to break a conservation of baryon number, it's never been observed to the best of my knowledge  (reference: https://en.wikipedia.org/wiki/Proton_decay).  The larger Leptons like Muons certainly decay but the smaller ones like electrons may be stable.
     None-the-less, after quadzi-trillions of years (I'm not really sure of the order of this timescale, we're talking about seriously big time, many orders of magnitude bigger than the universe has been around for so far) all massive particles may decay or revert back into photons through one mechanism or another.
   Some mechanisms may inlcude quantum tunnelling that establishes a small black hole within a massive particle and we believe that ultimately all black holes will "evaporate" by releasing Hawking radiation.   See this video for a non-specialist and friendly discussion of what might happen (if you're interested):
Info:   "How will the Universe end" - PBS Spacetime, available on Youtube.  This Video is nearly 18 minutes long.  Most relevant sections are 5:58 to 7:00 about Proton decay  and also 9:20 to 11:40 about Tunneling to form micro black holes.

    So, ultimately all particles emitted by the sun should break down into just photons and then these follow the same general loss of energy as described above for light that was emitted and travelled through space.
   Over-all then, there are a lot of assumptions and many things could change as the universe evolves but if it did behave as most models expect then all energetic particles emitted sun would eventually lose energy (as seen from a frame of reference that stayed with the sun all the time).  This isn't really like re-radiating energy as some longer wavelength or exactly the sort of thing you suggested in the OP but it reaches the same end result one way or another -->  whatever energetic particles are emitted by the sun they end up as ultra-long radio waves with ever increasing wavelength and decreasing energy as time progresses.

Best Wishes.

Late Editing:   Added info to the video;  directly mentioned that some leptons my be like the proton and may not decay by ordinary means.
Title: Re: How can photons have momentum but no mass?
Post by: Eternal Student on 23/10/2021 02:51:17
Hi again,

So, I think this just leaves the last question in the OP:
5. How feasible on a scale of 1 to 10 (1 being not at all feasible and 10 being very feasible) is the idea of a Photon blaster/cannon? Think of something like Star Trek's particle cannons, but with Photons instead of electrons/protons. Could we realistically weaponize Photons like this? Just for the record, I know I'm more or less describing a laser, but I was thinking more along the lines of Star War's blasters, or Iron Man's Repulsors. Would something like THAT be possible?   
    I don't really know and a detailed discussion is probably more suited to the Just Chat section.  I would have thought those TV shows and stories show blasters and all sorts of other energy weapons as transferring some momentum to their target just because that is what we would expect from a weapon.   It's also much easier to film and more dramatic when someone is pushed backward rather than just having a small hole put in them.  Such a hole would tend to be really neat and tidy and automatically cauterized by the heat of the laser anyway.  Probably not a very effective weapon to be honest with you and certainly not dramatic enough for TV.
    However, there is energy in all of these beams fired in a TV show and all sorts of possibilities for this to cause a change in kinetic energy of the target,  i.e. to  impart some momentum to them.  It's quite possible that a Star Wars blaster bolt isn't just a simple shot of photons but instead it's a shot of some other energetic stuff with the outer layers of it giving off photons as it travels.
     On a scale of 1-10, how likely is it we could weaponise photons to produce some significant momentum transfer to their target?  I'd say  2 out of 10.

Best Wishes.
Title: Re: How can photons have momentum but no mass?
Post by: Halc on 23/10/2021 03:46:32
5. How feasible on a scale of 1 to 10 (1 being not at all feasible and 10 being very feasible) is the idea of a Photon blaster/cannon? Think of something like Star Trek's particle cannons, but with Photons instead of electrons/protons. Could we realistically weaponize Photons like this?
Weaponized photons is just a laser, and yes, they've already got prototypes of stuff like that. The intent is to heat/vaporize the target, at least enough to render it (typically something in orbit) non-functional. There isn't significant momentum transfer there, but plenty of energy. Very hard to hit an accelerating target at any distance with any ballistic weapon like that, so it makes for a poor choice of weapon between space ships. Sorry star wars/trek.
Ever read Haldeman's novel The Forever War? It is about the only semi realistic sci-fi depiction of space battles, except for the jumps that take them distant places faster than light. Part of the strategy is to never let the enemy know where your home planet is.

Such a hole would tend to be really neat and tidy and automatically cauterized by the heat of the laser anyway.
I'd think it would boil any body fluids, and the steam explosion would blow the immediate area to bits.
Why do the storm troopers sport armor? One shot from the lightest weapon seems to fell them, so it's good against nothing but maybe shrapnel, and even then I don't recall one surviving a near artillery hit.

Quote
it's a shot of some other energetic stuff with the outer layers of it giving off photons as it travels.
Definitely so since it doesn't move at light speed and you can't see light from the side, only if it is aimed straight at your eyes.
Rule of thumb: For a cinema light weapon that puts out 'bullets' (as opposed to some kind of continuous phaser beam), it takes about 0.1 seconds to cross the screen regardless of scale. Just enough frames to show which way it is going. That means faster than light if the camera is panned back far enough. You'd think the shots that miss would just keep going in space forever, but no, that would violate the 0.1 second rule.