A Physics forum. Physics Banter

If this is your first visit, be sure to check out the FAQ by clicking the link above. You may have to register before you can post: click the register link above to proceed. To start viewing messages, select the forum that you want to visit from the selection below.

Go Back   Home » Physics Banter forum » Physics Newsgroups » The Theory of Relativity
Site Map Home Register Authors List Search Today's Posts Mark Forums Read Web Partners

Tags: , , ,

Relativistic mass of EMR particles/waves



 
 
Thread Tools Display Modes
  #21  
Old November 14th 03 posted to sci.physics.relativity
Gauge
external usenet poster
 
Posts: 1,932
Default Relativistic mass of EMR particles/waves

(Gauge) wrote in message . com...
"Zarkovic" wrote in message news:_fQsb.384619$9l5.370470@pd7tw2no...
Thanks guys, by the way, EMR=electro-magnetic radiation.


I just came across another referance on relativistic mass.


And yet there is another one. This one touches on this debate.

"The mass of a gas of massless photons," H. Kolbenstcedt, Am. J. Phys.
63(1), Jan (1995)
------------------------------------------------------------------
Consider a hollow body, e.g., a hot oven, and assume that its cavity
is filled with radiation of total energy U. According to Einstein's
mass-energy formula, the radiation contributes ot the mass of the body
an amount

(1) dM = U/c^2

where c is the velocity of light
If the radiation is considered as a gas of photons, and a photon of
energy E_i has a mass of

(2) m_i = E/c^2

the mass dM is naturally explained as the sum of the individual photon
masses.
However, most current textbooks have adopted the convention that
photons are particles of mass m = 0 fulfilling the relation

(3) E = mc = hv

bewteen energy E, momentum p, and frequency v. How, then, can one
render it plausible that a collection of such particles makes a finite
contribution when they are trapped in a cavity?
[explains invariant mass]
We demonstrate here an alternative to the two aforementioned methods
based, respectively, on photon mass and invariant mass.
------------------------------------------------------------------

Interesting article. I highly recommend it.

Pmb
Ads
  #23  
Old November 14th 03 posted to sci.physics.relativity
Jeff Krimmel
external usenet poster
 
Posts: 294
Default Relativistic mass of EMR particles/waves

On Fri, 14 Nov 2003 03:21:38 -0800, Gauge wrote:

Jeff Krimmel wrote [flame]

Why do you constantly act so childsish with these responses?


I'm not the one begging people not to pay attention to other posters, or
consistently acting like a seven year old whining about people picking on
me.

You're a grown man. Act like it.

Jeff

--
Add an underscore between 'd' and 's' for email.

  #25  
Old November 15th 03 posted to sci.physics.relativity
Ken S. Tucker
external usenet poster
 
Posts: 7,544
Default Relativistic mass of EMR particles/waves

"Zarkovic" wrote in message news:_fQsb.384619$9l5.370470@pd7tw2no...

Thanks guys, by the way, EMR=electro-magnetic radiation.


Hi guys.


HI, I've read through the thread before posting.

From a person by the posting name of Bilge, I copied this part of the
conversation: "photon has relativistic mass m =hf/c^2."
My apologies for the ignorance, what exactly does relativistic mass mean?


Before relativity the laws of conservation of mass and
conservation of energy were separate. A great
achievement of relativity was to unify these laws.
This resulted in the famous relation E_o=m_o c^2,
(E_o and m_o are rest energy and mass respectively).

Because of the equivalence of mass and energy, it
stands to reason that the *kinetic energy* of a moving
object may also be equated to a measure of mass.
The sum of this *kinetic mass* (=kinetic energy/c^2)
+ the rest mass is the so-called relativistic mass.
I agree with most other posters that this quantity is
most accurately termed the *invariant energy*.

Does this mean that if photon was not traveling, it would no have mass, or
does this mean that regardless of whether or not it's moving, it has as you
guys call it relativistic mass?


When a photon is absorbed it is brought to rest, and
provides an energy E=hf, so we should call this the
rest energy of the photon.
This rest energy depends on how the absorber is
moving relative to the source due to Doppler effects.

Sorry again, but for years I could never get
why a wave/particle such as those of the EMR do not have mass, how could
they then have energy and so on.


A good question. You know anything moving at the
speed of light transforms the units of cm, grams, secs
to 0, oo, 0. (length =0, mass= infinite, time=0), so it is
useless to consider a photon in terms of units.
Instead only invariants apply.
Consider Plancks Equation E=hf, and call

frequency = N cycles/sec.

In this definition of frequency, N is a pure number.

The rest energy of a photon is ,

E_o = h*N/t

assuming the rest energy = covariant energy E_0
then an invariant energy is h*N, if the contravariant
component is E^0 = h*N*t by the relation,

e^2 = invariant energy = E_0 E^0

This is somewhat subjective, but the required
invariant energy of the photon becomes,

e = h*N. (c=1).

This invariant becomes actualized, (measured)
only when the photon is absorbed into some
system, then components of vector e are projected
onto some mass and the energy increment can be
recorded. (this is the process of vision).

Now I kind of got used to the fact that
this is true, yet could someone please explain the concept to me of
relativistic mass of the EMR particles/waves and so on, and do particles
alone have relativistic mass, and what about the waves alone as well.


I think your question concerns a Generally Relativistic
solution to Quantum Mechanics, and Wave Mechanics.

That's a neat question. It appears the mathematicians
cannot solve the problem generally, and the physicists
cannot solve the problem specifically from any general
solution , ie. the specific solution requires boundaries
because there is no general solution.

Regards
Ken S. Tucker
 




Thread Tools
Display Modes

Posting Rules
You may not post new threads
You may not post replies
You may not post attachments
You may not edit your posts

vB code is On
Smilies are On
[IMG] code is On
HTML code is Off
Forum Jump

Similar Threads
Thread Thread Starter Forum Replies Last Post
Electrons; switching between waves and particles. Joe Rongen Current Physics Research (Moderated) 1 October 15th 05 02:04 PM
Waves and Particles Garry Physics - General Discussion 19 September 6th 04 02:17 AM
Could light be still considered as particles and not waves? Ravi Physics - General Discussion 9 May 27th 04 09:27 AM
QM, particles and waves Iconoclast Physics - General Discussion 6 November 20th 03 03:13 PM
Why particles give the impression they are waves Paul R. Mays Physics - General Discussion 14 November 6th 03 03:55 PM


All times are GMT +1. The time now is 05:42 AM.


Powered by vBulletin® Version 3.6.4
Copyright ©2000 - 2008, Jelsoft Enterprises Ltd.Search Engine Friendly URLs by vBSEO 2.4.0
Copyright ©2004-2008 Physics Banter, part of the NewsgroupBanter project.
The comments are property of their posters.
Blog5 Game Cheats - eHarmony Promotional Code - Loans - Mortgage - Blog5 Game Cheats