--- On Tue, 9/16/08, Georges Metanomski <[EMAIL PROTECTED]> wrote: > From: Georges Metanomski <[EMAIL PROTECTED]> > Subject: [epistemology 9539] Re: God's Particle > To: [email protected] > Date: Tuesday, September 16, 2008, 7:50 PM > --- On Sat, 9/13/08, stephen <[EMAIL PROTECTED]> > wrote: > > > From: stephen <[EMAIL PROTECTED]> > > Subject: [epistemology 9521] Re: God's Particle > > To: "Epistemology" > <[email protected]> > > Date: Saturday, September 13, 2008, 11:26 AM > > could anyone teach me my doubt: > > > > in LHC, the particles in clockwise will speed up to > 99% of > > light > > speed, and anticlockwise particles also will be speed > up to > > 99% of > > light speed, now: > > > > a. what will be their Relative speed when impact? > ====================== > G: > Let o be an observer in CERN, > c, a the clockwise and anticlockwise protons > Vac - speed of c seen from a > Vao - speed of o seen from a = 0.99C > Voc - speed of c seen from o = 0.99C > > Then Vac = cumul(Vao,Voc) > where "cumul" is the Lorentz transformation based > speed > cumulation function > Vac=(Vao + Voc)/(1+VaoVoc/C^2) > Vac=C(0.99+0.99)/(1+0.99^2*C^2/C^2) > Vac=1.98C/(1+0.99^2) > Vac=C*1.98/1+0.9801) = C*1.98/1.9801 > Vac=0.999949C ================== supplement: It is interesting to see how the Lorentz cumulation works for limit cases of 1.C itself and 2.low speeds of our daily life, negligible with respect to C. 1.Instead of protons moving with respect to o at 0.99C, let a and c be photons moving at C: Vac=(C + C)/(1+C^2/C^2) = 2C/2 = C Photon a flying at C will see photon c flying at C against it as moving at C. 2.Let a and c be planes moving against one another, each at 360km/h=360/3600=10^-1km/s with respect to o: Vac=(2*10^-1)/(1+(10^-1)^2/(3*10^5)^2) Vac=0.2/(1+(1/9)*10^-12)=0.2/1+1.1*10^-13) Now 10^-13 is clearly negligible and Vac=0.2km/s=720km/h=Vao+Voc Low speeds cumulate by simple addition. ================== > ====================== > > b. in such high speed, the Time will become very slow? > If > > so, how long > > will they taken to impact? > > > ==================== > G: > One a's revolution of the colider will take 0.4 ns and > o's > clock will show it as such. Indeed o's clock is not > affected by the movement of a. > o would find a's time dilated and a's clock ticking > slower and vice versa a would find o's clock ticking > equally slower, but each will find its own time and > clock unaffected. > Georges. > ================== > > > > > --~--~---------~--~----~------------~-------~--~----~ You received this message because you are subscribed to the Google Groups "Epistemology" group. To post to this group, send email to [email protected] To unsubscribe from this group, send email to [EMAIL PROTECTED] For more options, visit this group at http://groups.google.com/group/epistemology?hl=en -~----------~----~----~----~------~----~------~--~---
