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Natural Science Forum / Physics / General Physics / July 2008Casimir effect and Lorentz contraction
Casimir effect: F = -c A / r^4 where A = area of each parallel plate and c is some positive constant; r is the separation between the plates. We begin wtih both plates 10 nm apart. The pressure is then close to 1 atm, reportedly. Now if I transform to a reference frame in motion, Lorentz contraction will reduce the separation r. This increases the force F a lot. I understand F = ma and m will increase as F increases; and I understand time slows. What I don't understand is how all this comes into play. What do the equations say happens? My understanding is, in the moving reference frame, everything must happen exactly as in initial reference frame, except it will happen slower because time is slower. But what about Lorentz contraction? Won't that increase the attraction? > Casimir effect: F = -c A / r^4 where A = area of each parallel plate > and c is some positive constant; r is the separation between the [quoted text clipped - 8 lines] > What I don't understand is how all this comes into play. What do the > equations say happens? > My understanding is, in the moving reference frame, everything must > happen exactly as in initial reference frame, except it will happen > slower because time is slower. But what about Lorentz contraction? > Won't that increase the attraction? Observers in relative motion (with respect to the apparatus measuring the Casimir effect) will measure time dilation and associated relativistic effects... There is NO affect on the physics in the local frame for observers in the local frame, as the relative velocity is zero. Relativistic effects due to relative motion, are strictly observer dependent. > Casimir effect: F = -c A / r^4 where A = area of each parallel plate > and c is some positive constant; r is the separation between the > plates. > We begin wtih both plates 10 nm apart. Bullshit. The plates must be structurelessly smooth. At atomic distances Casimir forces become van der Walls forces. All you can get is the binding energy of the solid. > The pressure is then close to 1 > atm, reportedly. Do it on Mars. Atmospheric pressure there is 7 torr. > Now if I transform to a reference frame in motion, Lorentz contraction > will reduce the separation r. REAllY? For which observer? Start by looking up "Terrell rotation". > This increases the force F a lot. Poison the well and all sips are also poisoned. > I understand F = ma and m will increase as F increases; and I > understand time slows. REAllY? For which observer? > What I don't understand is how all this comes into play. What do the > equations say happens? Look it up, http://cc3d.free.fr/Relativity/Relat1.html Special Relativity for yard apes > My understanding is, in the moving reference frame, everything must > happen exactly as in initial reference frame, except it will happen > slower because time is slower. But what about Lorentz contraction? > Won't that increase the attraction? Ignorance is not a form of knowing things.  SignatureUncle Al http://www.mazepath.com/uncleal/ (Toxic URL! Unsafe for children and most mammals) http://www.mazepath.com/uncleal/lajos.htm#a2 |
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