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  • #46
    Thank you...

    Will you still respect me in the morning?
    Monkey!!!

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    • #47
      Actually, when I am thinking about it, what's wrong about describing a moving particle's energy as E=gamma*mc^2
      ?
      Last edited by Az; December 11, 2003, 18:08.
      urgh.NSFW

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      • #48
        Nothing, if it is a general well behaved particle like an electron. But for a photon gamma=infinity (as you pointed out) and m=0, so the equation

        E=gamma mc^2

        isn't very well defined (note that m=0 doesn't imply E=0, since gamma is infinite)

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        • #49
          If light have no mass, why is it affected by gravity?

          In fact photon has no mass at rest but it has innercial mass.
          Ich bin der Zorn Gottes. Wer sonst ist mit mir?

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          • #50
            Originally posted by Thorgal
            If light have no mass, why is it affected by gravity?
            Despite what Newton says, mass doesn't give gravity - it is energy that does. This is what General Relativity is all about. The energy warps space-time, not the mass. (Besides, in GR, you can always find a frame of reference where the light moves in a straight line)

            In fact photon has no mass at rest but it has innercial mass.
            What do you mean by this?
            Usually 'inertial mass' is the one in E^2= m^2c^4+p^2c^2 (ie the one that influences dynamics), while 'gravitational' is the gravity 'charge' (sort of). The success of GR is that it shows they are the same. Light has no inertial mass.

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            • #51
              Originally posted by Rogan Josh
              Nothing, if it is a general well behaved particle like an electron. But for a photon gamma=infinity (as you pointed out) and m=0, so the equation

              E=gamma mc^2

              isn't very well defined (note that m=0 doesn't imply E=0, since gamma is infinite)
              I know that. but I think it's perfectly legitimate to use it to illustrate why can't a particle with the speed of c have mass.

              ( of course, it is possible that the transformation itself is based on this fact, so I could be commiting a grave logical error, but this is irrelevant. )
              urgh.NSFW

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              • #52
                Start with E^2 = m^2 c^4 +p^2 c^2 = m^2 c^4 (1+p^2 /(m^2 c^2))

                or in other words gamma = sqrt(1+p^2/(m^2 c^2))

                But this entire manipulation is wrong if m=0 (since I divided by it). gamma is infinite because m=0, so the argument doesn't work.

                On the other hand, it is perfectly valid to say that for a fixed p, if you want to get close to c, you better have small m. That argument is fine (which is almost what you are saying, but a bit weaker).

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                • #53
                  fair enough. now I need some help with the applications of Quantum mechanics to chemistry.
                  urgh.NSFW

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                  • #54
                    E^2 = m^2 c^4 +p^2 c^2

                    where p is momentum. Since an object at rest has p=0, this gives E=mc^2 at rest. But for a photon, m=0, so the equation becomes a relation between energy and momentum:

                    E=p c


                    Well said Rogan.
                    Scouse Git (2) La Fayette Adam Smith Solomwi and Loinburger will not be forgotten.
                    "Remember the night we broke the windows in this old house? This is what I wished for..."
                    2015 APOLYTON FANTASY FOOTBALL CHAMPION!

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                    • #55
                      Why bother with chemistry when you can do physics?

                      I just sent a funding proposal to the EU asking for 1 million euros.

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                      • #56
                        Bah! 1 million stay with chemistry and get to drug discovery/manufacturing and you will hardly ever want for money, ppl will throw it at you!
                        Monkey!!!

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                        • #57
                          Why bother with chemistry when you can do physics?


                          You physicists are such arrogant bastards. . Well, honestly, chemists would never be able to do what they did (change the world) without the physicists.

                          I just sent a funding proposal to the EU asking for 1 million euros.


                          So, "research" in an exotic location, I suppose?
                          urgh.NSFW

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                          • #58
                            Rogan, do you happen to know if anyone's doing particularly interesting research at Wurzburg (in general)?
                            "Beware of the man who works hard to learn something, learns it, and finds himself no wiser than before. He is full of murderous resentment of people who are ignorant without having come by their ignorance the hard way. "
                            -Bokonon

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                            • #59
                              So, "research" in an exotic location, I suppose?
                              I wonder if a chemist can get funding to a study on the affects of alcohol consumption in tropical locations? I don't think a physicist would even have a shot!
                              Monkey!!!

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                              • #60
                                dude, all the cool places are Enviro. Engineering! I took a class there once ( Air Pollution ) and the professor kept joking about his friends that go to Patagonia "to measure pollutants".
                                urgh.NSFW

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