<p><BR/>Replying to:<BR/><DIV CLASS='Discussion_PostQuote'>I get the energy mass equivalence thing. I'm looking for a physical explanation. I thought that in the standard model that the higgs mechanism was responsible for mass. Presumably the electron when dropping to a lower orbit does not lose any mass but the rest mass of the atom has dropped by emitting a massless photon <br /> Posted by UncertainH</DIV></p><p>The rest mass will remain the same for both the electron and the atom as a whole. The actual equation is:</p><p>E=(mc^2)^2 + (pc)^2</p><p>where p is the momentum. While it is fair to say that the photon is massless (or more precisely, has zero rest mass), it does still, in fact, have momentum. When the electron emits a photon, the energy of the photon is defined by its momentum and via conservation laws pertaining to momentum, the electron loses an equal amount of momentum that the photon carries away. Plug that number into the above equation and you will see that the electron loses energy and hence the electron and ultimately, the atom loses mass.</p><p>Again, the rest mass never changes. The "m" in the above equation is only considered rest mass when p=0. When such is the case, the formula then, simply, becomes E=mc^2. A photon, being massless, the equation becomes E= pc = h*nu.</p><p>Now, you might ask yourself, where is the loss of mass? Using the above formula, only momentum is lost. As I understand it (there's two schools of thought on this of which I'm not very clear on), the concept of relativistic mass has fallen out of favor (though still useful as pedagogical tool).</p><p>The above formula defines Mass as the total energy of the system... rest mass plus momentum. By saying "relativistic" mass, one simply means the total energy. </p><p>Inertial mass is nothing more than resistance to a change in acceleration (m=f/a). Acceleration is the rate of change in velocity. Momentum is defined by p=mv. If the electron loses momentum, it becomes easier to change its velocity. If a change in velocity becomes easier, one says it's mass has decreased. Hence the loss of mass.</p><p>It's interesting to note that the rest mass of the 2 up quarks and down quark that constitute a proton are individually less massive than when they are combined to make the proton. This is due to the binding energy of the massless gluons. </p><p>The proton is 95% more massive than the particles that make it!!! </p><p>
http://www.physorg.com/news146415074.html </p><p>A really obese individual weighing 1000kg could legally say their rest mass is merely 50kg and the reason they weigh so much is because they are so full of energy. <img src="http://sitelife.space.com/ver1.0/content/scripts/tinymce/plugins/emotions/images/smiley-laughing.gif" border="0" alt="Laughing" title="Laughing" /></p><p> </p><p>I don't believe the Higgs mechanism has anything to do with the electron/atom losing mass when it emits a photon. All the Higgs mechanism is attempting to describe is why some elementary particles have rest mass and others don't. </p> <div class="Discussion_UserSignature"> <div> </div><br /><div><span style="color:#0000ff" class="Apple-style-span">"If something's hard to do, then it's not worth doing." - Homer Simpson</span></div> </div>