Absolute frame in Kinetic Theory
in [Relativity]
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From: mpc755 on 23 Jul 2010 00:42 On Jul 22, 6:26 am, funkenstein <luke.s...(a)gmail.com> wrote: > On Jul 22, 10:40 am, mpc755 <mpc...(a)gmail.com> wrote: > > > > > On Jul 21, 11:52 pm, PD <thedraperfam...(a)gmail.com> wrote: > > > > On Jul 21, 6:08 pm, colp <c...(a)solder.ath.cx> wrote: > > > > > On Jul 22, 10:12 am, PD <thedraperfam...(a)gmail.com> wrote: > > > > > > On Jul 21, 4:45 pm, colp <c...(a)solder.ath.cx> wrote: > > > > > > What is your point? > > > > > > That there is nothing in kinetic theory that points to or relies on an > > > > > absolute frame. > > > > > (reposting reply to similar assertion by Paul Stowe) > > > > > Nope. For example, take two molecules, each with mass m, and separated > > > > by distance d. Give the molecules velocities such that they will > > > > approach each others center of mass and collide at time t. The > > > > calculated energy of the collision will depend on how you measure your > > > > velocities. > > > > > For either molecule, the relative velocity of the other molecule will > > > > be d/t or -d/t. > > > > The calculated energy of collision is 1/2 mv^2 = 1/2 m.d^2/t^2, since > > > > one molecule is deemed to be stationary. > > > > > If, instead, we say that each molecule is moving toward a stationary > > > > collision point, then v = d/2t or -d/2t > > > > The calculated energy of collision is now 2 * 1/2 mv^2 = m.d^2/4t^2 = > > > > 1/2 m.d^2/2t^2 > > > > > The two calculations disagree by a factor of two. > > > > First of all, the principle of relativity does NOT mean that the VALUE > > > of physical quantities are the same in all reference frames. > > > > Secondly, please consider what you mean by "energy of collision". The > > > energy of collision is NOT the total kinetic energy available. > > > > I'll give you an example. Consider a completely inelastic collision > > > where two equal masses collide and then stick together. This will > > > involve a transformation of kinetic energy into energy of deformation > > > (or reconformation), heat, sound, etc. The completely inelastic case > > > is the case where the maximum amount of kinetic energy is so > > > transformed. > > > > I'd like for you to calculate this energy transformed for this > > > collision as viewed in two reference frames, just as you've done > > > above: One where one of the masses is initially stationary and the > > > other is moving at v; and one where both masses are approaching at v/ > > > 2. > > > > Please remember that to find the final velocities in both cases you > > > will need conservation of momentum. > > > Why are downgraded photon pairs not required to have opposite angular > > momentums in order to conserve the original photons momentum in order > > for there to be conservation of momentum in order for there to be > > instantaneous action at a distance? > > > You still have not answered the questions. > > Looks like he asked first. I like trying to answer, so I'll give your > very difficult questions a shot. Why not try to answer some too? > > > Explain what occurs physically in nature to cause spacetime to curve > > but not move. > > Spacetime does both, only the motion is not detectable. This is gauge > invariance, proven by MMX experiment. > > > Explain what occurs physically in nature which allows a C-60 molecule > > to enter, travel through, and exit multiple slits simultaneously > > without losing momentum. > > The "particle" is a wave. > > > Explain what occurs physically in nature when mass converts to energy. > > The "mass" actually already was a bundle of energy, with properties we > call mass. > > > Explain what occurs physically in nature which allows the future to > > determine the past. > > Not sure where you are going with this one.. are you talking about > antimatter? One answer is that one can use observations at some time > T to determine what happened at T-x.. > > > Explain what occurs physically in nature to cause gravity. > > G_uv = 8pi T_uv > > The space-time structures which have mass affect the surrounding space- > time like that. > > [snip spam] 'Like that'? Is that how they teach it in science school? |