Can Mass Be Converted to Energy and Vice Versa?

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Mass can be converted to energy and vice versa, as demonstrated by nuclear reactions and matter-antimatter interactions. Fusion and fission processes illustrate how a small amount of mass can yield a large amount of energy, while high-energy environments can create particles from energy. The discussion highlights the nuances of mass-energy equivalence, emphasizing that mass is a form of energy rather than a separate entity. Photons, while massless, possess momentum, which is explained through relativistic mechanics rather than classical definitions. The conversation also touches on the importance of terminology in physics, particularly the distinction between rest mass and relativistic mass.
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can mass changed to energy
and can energy changed to mass ?
if no why ?
 
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Yes, both are possible.

- Warren
 
i don't understand this. i know they are two words for the same thing but i don't know how. i know fusion or fission (one of them) converts mass to energy, so would the other convert energy to mass?
 
Matter-antimatter reactions are the classic examples of the interconvertibility of mass and energy. If you slam a proton and an anti-proton together, you get gamma rays -- mass has been converted to radiation, which is massless but energetic. Conversely, if you put enough radiation in a small enough area, you'll provoke the creation of a pair of particles, one normal matter and one anti-matter -- energy has been converted into mass.

Nuclear reactions are another common way to see the equivalence. When energy is realeased by a nuclear reaction, you can be assured that the products have less total mass than the reactants.

- Warren
 
cool. i still don't understand the actual physics of it but ill try to find out.
 
E = mc2 = E0 + ΔE = m0c2 + Δmc2 = m0c2 + (mv2)/2


http://sciart.icpcn.com/physics/relativity.html
 
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Fusion and fission both convert matter to energy- that's why both are used for bombs! A tiny amount of matter converts to a huge amount of energy.

Conversely, a huge amount of energy converts to a tiny amount of matter. Currently the only observable examples of energy converting to matter are elementary particles.
 
a huge amount of energy = a huge amount of photons(Δm)
a tiny amount of matter = imply energy(m0)
 
I think it is incorrect to say that mass is converted to energy. Mass IS a form of energy. What happens in a fission process is that the mass energy is converted to kinetic energy.

Or maybe this is just a matter of semantics.
 
  • #10
"Mass converted to energy" or "Mass energy converted to kinetic energy" is just a terminology problem. Whatever the case, mass is equivalent to energy, and we don't need to argue more about that.
A huge amount of energy is needed to produce a small amount of mass, as said in Einstein's famous equation:
E = m c2
Since c, the speed of light in vacuum, is a pretty big number(299792458 m/s), that's quite a lot of energy for a small amount of mass.
 
  • #11
Since this is a physics forum, I feel compelled to nitpick and add that the formula you mentioned is incomplete. There are higher terms that have been left out and that incorporate such things as kinetic energy for example.
 
  • #12
I would argue that surely mass and energy must both be part of the same thing - not different versions of the same "mass-energy". ( ie - Energy HAS mass, not that energy can be converted into mass and vice versa.)
I've come up with a simple argument for this - imagine a football; you kick this ball converting chemical in yours muscles to kinetic energy. Hence the all moves and gets heavier since it has gained mass - the energy it gains is the SAME as the chemical energy i have lost because energy has been conserved. Now, if energy and mass were different versions of the same thing, then surely 2 things would happen instead - 1) the ball would move (since gained the energy from my chemical) but would not get heavier, because all energy has gone to energy and not mass, as it can be proved that the ball gains the same energy as I have lost, or 2) the ball would not move, just get heavier as energy goes to mass. Both are untrue - therefore energy must HAVE mass, rather than BE mass.
From this we could also conclude that photons have mass, which in a way would make sense if you think about it - after all light can not escape the gravitational field of a black hole. Therefore is must have weight. Therefore it must have mass.
What do you think? :-)
 
  • #13
Cheman,

Do not post personal theories here. Personal theories are welcome only in the Theory Development portion of the site.

- Warren
 
  • #14
May I ask why?
 
  • #15
If there is a problem with what I said, then please just remove it. Thanks. :-)
 
  • #16
Because if it is wrong, and people unfamiliar with the forums take it as a proven theory, then it could get confusing. Whereas if it is in the theory development section, then that is well stated. Also, i am no expert physicist, but what you have said is based on a very common misunderstanding. The things in 'our' world behave a lot different to those in the quantum world ie. Spin, a component of quantum particles, is undefinable by anything that we understand in 'our' world. Thus it is probably very likely that what you have stated, does not hold up in the quantum world of elemntary particles. And could you verify why you believe photons entering a black hole, and not leaving, must have weight, and therefore mass. Because the equation for weight is: Gravitational field strength x mass = weight

Now no matter what the gravitational field strength is, if mass is 0, then weight will be 0. Relatively, if the weight is 0 then the mass is 0. Photons don't need to have weight to be unable to escape a black holes gravitational pull. It is the curving of space, which everything 'follows', that causes the gravitational effect. It is not mass that causes gravity. Therefore i cannot understand how you came to the conclusion that photons have weight.

Kyle
 
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  • #17
That was not the main point of my argument - if you read the rest then it does appear to make sense. Also, it is a known fact that photons have momentum - it is what the De Broglie Quantum Wavelength equations are based upon. Hence, if a photon lacks mass then how can it have momentum if momentum = mass * velocity? My football argument does, to some extent, appear to make sense and would coincide with E = mc2.
 
  • #18
Does anyone at least consider it valid and reasonable? :-)
 
  • #19
This is your second, and last warning, Cheman. Stop posting personal theories.

- Warren
 
  • #20
Chroot,
I apologise if what I have said has not been posted in the correct way or place - i do not mean to cause confusion, simply ask questions, which is surely the whole idea of science. However, I would just like to ask (if you would like to tell me by perosnal email as not to cause further confusion) what you thought of my idea?
 
  • #21
This is not the appropriate place to post your idea, or to ask for opinions on it.

- Warren
 
  • #22
For a complete and thorough understanding of the concept of mass and energy in relativity go to http://www.geocities.com/physics_world/ and click on the URL labeled "On the concept of mass in relativity".

Pete
 
  • #23
Beware you modem users, pmb phy's reference takes 10 minutes to load.
Now that caused me to gain some mass !

Best
 
  • #24
I am sorry but I don't see why my message was inappropriate. After all, the entire idea of science is to question why things happen. I thought of something, and decided to ask a question on it - why is that not appropriate on a science forum?
 
  • #25
it is... just on the theory development forum :-)
 
  • #26
Cheman,

From this we could also conclude that photons have mass

You did not ask a question, you made an assertion which concluded that light has mass. This is contrary to all accepted physics, and thus is not welcome here, except in the Theory Development forum. If you cannot deal with our rules, please don't post at all.

- Warren
 
  • #27
Ok, I apologise, it shall not happen again. However, I do believe that you'll find I actually asked at the end my message "what do you think?", implying that I simply wished to know whether what I thought was correct or not. I apologise for any inconvieniance.
 
  • #28
Ques: Through accepted scientific theory at the moment how do we explain that photons has momentum when they do not have mass?
 
  • #29
Because momentum in relativistic mechanics is defined more generally than in classical mechanics. In relativistic mechanics, the energy of a particle is related to its momentum via

E = \sqrt{p^2 c^2 + m_0^2 c^4}

where E is the energy, p is the momentum, m_0 is the rest-mass, and c is the speed of light. Energy can come in several forms: kinetic energy, rest-mass energy, and so on. Thus, a photon does not need mass to have momentum. This definition winds up being precisely the same as the classical definition when you consider particles that aren't moving very fast, so the two are not incompatible; it just happens that the relativistic version applies everywhere (as far as we currently know anyway), while the classical version has restrictions on where it can be applied.

- Warren
 
  • #30
chroot said:
Because momentum in relativistic mechanics is defined more generally than in classical mechanics. In relativistic mechanics, the energy of a particle is related to its momentum via

E = \sqrt{p^2 c^2 + m_0^2 c^4}

where E is the energy, p is the momentum, m_0 is the rest-mass, and c is the speed of light. Energy can come in several forms: kinetic energy, rest-mass energy, and so on. Thus, a photon does not need mass to have momentum. This definition winds up being precisely the same as the classical definition when you consider particles that aren't moving very fast, so the two are not incompatible; it just happens that the relativistic version applies everywhere (as far as we currently know anyway), while the classical version has restrictions on where it can be applied.

- Warren

Does it not means that radiation is the TWO DIMENSIONAL PRODUCT of light (c^2) and an object having mass is a FOUR DIMENSIONAL PRODUCT of light (c^4) ?
 
  • #31
Michael F. Dmitriyev said:
Does it not means that radiation is the TWO DIMENSIONAL PRODUCT of light (c^2) and an object having mass is a FOUR DIMENSIONAL PRODUCT of light (c^4) ?
No.

- Warren
 
  • #32
chroot said:
No.

- Warren
Why?

-Michael
 
  • #33
Michael F. Dmitriyev said:
Why?

-Michael
Mostly by default. The assertion that "radiation is the two dimensional product of light" doesn't even make sense. I'm going to warn you, as well, to resist the temptation to post your personal theories in parts of the site where they are unwelcome.

- Warren
 
  • #34
Sorry, but how was Michael F. Dmitriyev inappropriately expressing a personal theory? He asked a question ( hence the question mark at the end) - he didn't demand that he was right, just asking if he was correct. ( as I in fact was) He wasn't in flicting a confusing personal theory on anyone.
 
  • #35
chroot said:
You did not ask a question, you made an assertion which concluded that light has mass.
...
Because momentum in relativistic mechanics is defined more generally than in classical mechanics. In relativistic mechanics, the energy of a particle is related to its momentum via

E = \sqrt{p^2 c^2 + m_0^2 c^4}

where E is the energy, p is the momentum, m_0 is the rest-mass, and c is the speed of light. Energy can come in several forms: kinetic energy, rest-mass energy, and so on. Thus, a photon does not need mass to have momentum. This definition winds up being precisely the same as the classical definition when you consider particles that aren't moving very fast, so the two are not incompatible; it just happens that the relativistic version applies everywhere (as far as we currently know anyway), while the classical version has restrictions on where it can be applied.
- Warren
Cheman has \ correctly deduced that light has mass. re - he was correct when he said
Hence, if a photon lacks mass then how can it have momentum if momentum = mass * velocity?
In your comment above you posted the correct relationship between inertial energy, rest mass and momentum. You then used the term "mass" unqualfied to mean "rest mass" as you have in previous posts and threads in this forum. Cheman does not seem to be aware of the semantics of this point and that is where the disagreement is. Once more we're back to the debate of what the term "mass" means.

The statement made by Cheman is correct if the term "mass" refers to "inertial mass, aka "relativistic mass" , m, and is wrong if it refers to "rest mass", m0. Relativistic mass, aka inertial mass, is defined as the "m" in p = mv (e.g. see French, D'Inverno, Rindler, Mould, Schutz etc.). If the particle is a tardyon (moves at v < c) then it depends on velocity, i.e. m = m(v). Rest mass aka proper mass is defined as m0 = m(0).

Therefore cheman is speaking of relativistic mass and chroot is speaking of rest mass.

Its also incorrect to claim that people mean "rest mass" when the use the term "mass" unqualified. Differerent relativists mean different things by this term as evidenced in many new modern relativity texts etc.

Cheman - See
http://www.geocities.com/physics_world/relativistic_mass.htm
http://www.geocities.com/physics_world/sr/inertial_mass.htm
See the links at the bottom of that page under Particle Accelerator Labs for examples from Cern, Argonne National Laboratory, Lawrence Berkeley National Laboratory, and University of Wisconsin-Madison

Even the text A Short Course in General Relativity, Foster & Nightingale, Springer Verlag, (1994) discusses the photon mass in one derivation of gravitational redshift.


There was a recent artilce on relativistic mass in the American Journal of Physics

Apparatus to measure relativistic mass increase, John W. Luetzelschwab, Am. J. Phys. 71(9), 878, Sept. (2003).

That was an article which addressed tardyon's only.


Here is a quote you'll like Cheman. From The Evolution of Physics, Einstein & Infeld, Touchstone Pub., (1966). Commenting on the observation made by an observer inside an accelerating elevator that light is ‘weightless’ Einstein writes
But there is, fortunately, a grave fault in the reasoning of the inside observer, which saves our previous conclusion. He said: “A beam of light is weightless and, therefore, it will not be affected by the gravitational field.” This cannot be right! A beam of light carries energy and energy has mass.
:biggrin:

Pete
 
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  • #36
Nice quote Pete. ;-) So, was what I said correct, or at least a reasonable assumption to make?
 
  • #37
Cheman said:
Nice quote Pete. ;-) So, was what I said correct, or at least a reasonable assumption to make?
As I said, if you claim that a photon has rest mass then you're comments were incorrect. If you meant that photons have inertial mass (aka "relativistic mass") then you were correct.

Einstein was not the only who said that. Many newer and older texts did too. One famous one who said what Einsteins said is Feynman's.

From the Feynman Lectures Vol -I page 7-11, Section entitled Gravitation and Relativity
One feature of this new law is quite easy to understand is this: In Einstein relativity theory, anything which has energy has mass -- mass in the sense that it is attracted gravitationaly. Even light, which has energy, has a "mass". When a light beam, which has energy in it, comes past the sun there is attraction on it by the sun.

Pete
 
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  • #38
pmb_phy,

We've heard your tired argument long enough. Seriously.

- Warren
 
  • #39
Cheman said:
Sorry, but how was Michael F. Dmitriyev inappropriately expressing a personal theory?
Every question has presuppositions. His question is so weird, that it only makes sense in the context of his own theory. I applaud the mentors' efforts to keep general forum discussions consistent with accepted physics, because if it contains every new theory, it will be of no use to students who want a deeper understanding of currently accepted physical theories. If you or Dmitriyev want to discuss other stuff, go to the Theory Development" forum. PLease.

pmb_phy said:
Who is "we"?
I'm with Warren.

pmb_phy said:
Your closed mindeness on this matter is getting very tiring. If you don't like a concept then simply don't use it. Throw away all your elativity texts that employ it. But don't insult/demean the people who do. Nothing good can come from that attitude.
This is starting up again? I'm outta here.
 
  • #40
chroot - It appears to me that anytime someone disagrees with you, you post insulting remarks. (e.g. you infered I was stupid because I like kaza)

Why do you do that?


Cheman - Check your private messages
 
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  • #41
I think you're too sensitive, pmb. Just quit filling up our forum with hundreds of copies of your little relativistic mass manifesto.

- Warren
 
  • #42
chroot said:
I think you're too sensitive, pmb. Just quit filling up our forum with hundreds of copies of your little relativistic mass manifesto.
I'm tired of your constant whining chroot. Give it a rest. Everytime I give someone the correct answer to this rather basic question in relativity which they asked for you chime in and complain as if you wish to silence everyone who disagrees with you.

What you're constantly whining about be can always be quite literally said about you too. I.e. when someone asks about the velocity dependence of mass or the mass of light you constantly chime in with your little mass is rest mass manifesto.

You really need to stop being so closed minded. You sound like arrogant bratty school boy who thinks he knows everything. I have news for you. That's the furthest thing from the truth that there is.
 
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  • #43
You're definitely too sensitive. Keep in mind that I can still read the posts you deleted. You enjoy flame wars, which we try to squelch.

I do have a potential solution to this problem, however. Since virtually every post you make is connected in some way with championing your unusual relativistic mass veiwpoint, I think I'm going to have you prepare an essay with every point you'd like to make about your view. When you feel the need to inject your view into a discussion here, you can simply provide a link to your essay. I have grown tired of seeing a hundred copies of virtually the same arguments all over the forum.

- Warren
 
  • #44
agreed

K_
 
  • #45
chroot said:
You're definitely too sensitive. Keep in mind that I can still read the posts you deleted. You enjoy flame wars, which we try to squelch.
I delete posts because because I try different versions before I post them and I see errors best when I read after I hit submit. Whether you like them or not is your problem. Go tell your problems to Jesus.


And you can write what you want. You simply don't know this particular topic in relativity well enough to correct anything I've posted because nothing I've posted is incorrect. All you've ever been able to do is start with a definition of your personal chooseint and then you whine when people don't use it. All I've seen from you is a poor understanding of this topic.

Tell you what chroot. I have a permanent solution to this problem. Delte my account. I'm just plain sick of your pathetic childish attitude. You've been far too insulting and closed minded for me to want to bother with. Until then I'll explain what needs to be explained and you can whine all you want. But people don't like you forcing your views on them.
 
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  • #46
Quit being so childish, and, most definitely, stop with the personal attacks. I'm not attacking you personally at all here, so I'd appreciate the same respect.

I'd like you to distill all your thoughts about the issue into an essay -- you can post it in a thread all by itself, and I will lock the thread. When you want to insert your views on relativistic mass, you can provide a link to the essay.

I will make the same demands on your archenemy DW.

- Warren
 
  • #47
Good lord chroot. You most certainly are attacking me personally. When you post a direct somment to me using terms such as "stupic" and in this thread "tiresome", "little relativsitic mass manifesto" etc.

I guess your problem is truly that you don't know when you're provoking people. You need to grow up and stop trying to force your views on others


And I BEG you with all my hear DELETE MY ACCOUNT. It will be a reminder to me not to post at a place with people who are as closed minded as you who like to start trouble like you do.
 
  • #48
pmb_phy said:
Good lord chroot. You most certainly are attacking me personally. When you post a direct somment to me using terms such as "stupic" and in this thread "tiresome", "little relativsitic mass manifesto" etc.

I guess your problem is truly that you don't know when you're provoking people. You need to grow up and stop trying to force your views on others


And I BEG you with all my hear DELETE MY ACCOUNT. It will be a reminder to me not to post at a place with people who are as closed minded as you who like to start trouble like you do.

If you're still not clear on why you're irritating let me fill you in - you post comments which are relevant to your view. I post comments which are relevant to my view. You then post comments like "tiresome" etc. That is clearly a hypocritical postition since I could just as logically state that your posts on mass are tiresome.

You're really quite irritating chroot. And just because you try to weasle out of it by claiming that I'm oversensitive can't change the facts that you clearly are troublesome and closed minded
 
  • #49
Wow!
I thought it was made quite clear that speculative comments belong in Theory Development(and are welcome there)
What is so hard to understand about that and the reasons for it?
Organization is important in a class-act forum such as PF.
 
  • #50
pallidin said:
Wow!
I thought it was made quite clear that speculative comments belong in Theory Development(and are welcome there)
What is so hard to understand about that and the reasons for it?
Organization is important in a class-act forum such as PF.
Everything I've ever posted on this forum or any other forum or newsgroup is readily found in the [modern relativity literature. All references have always been provided when asked

Even the Usenet Physics FAQ explains the facts that I have in this post, i.e. http://math.ucr.edu/home/baez/physics/Relativity/SR/light_mass.html
Does light have mass?

The short answer is "no", but it is a qualified "no" because there are odd ways of interpreting the question which could justify the answer "yes".
[...]
Sometimes people like to say that the photon does have mass because a photon has energy E = hf where h is Planck's constant and f is the frequency of the photon. Energy, they say, is equivalent to mass according to Einstein's famous formula E = mc2. They also say that a photon has momentum and momentum is related to mass p = mv.
Even that FAQ is somewhat lacking since it claims that this is an outdated concept. But that's empoerically incorrect since its very difficult to find a modern relativity text which doesn't use this concept in one place or another. One merely has to look and there it is. chroot doesn't choose to look. He prefers to whine and insult instead.
 
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