X-Message-Number: 19212 From: Date: Thu, 6 Jun 2002 07:33:37 EDT Subject: Re: CryoNet #19196 Advance in physics --part1_27.28842b8d.2a30a291_boundary Content-Type: text/plain; charset="US-ASCII" Content-Transfer-Encoding: 7bit Thomas Donaldson said: > For those who seem to think that advances in physics have ceased, > please either answer my comments (and read the articles in SCIENCE) > or shut up and admit you're wrong. > > There is a lot of small advance in physics, but nothing as dramaticas the invention of Relativity, quantum mechanics or gauge theories ( the electro-weak unification or color SU(3) hadron force. May I suggest an small input? Gauge symetries defines electromagnetism with U(1) nuclear weak force with SU(2) and color with SU(3). Why not SU(4) and so on? There is my guess: U(1) geometry is the Moebius band, you need 2 dimensions at least to see it. SU(2) geometry is the projective plane, you need 4 dimensions to produce it. Similarly, SU(3) needs 6 dimensions and SU(N) would need 2N dimensions. Now, from euclidean 3 dimensional space, the largest mechanical space you can built is a 6 dimensional phase space using Jacobi's mechanics. With this space, you can't see anything beyond SU(3). Now, in relativistic thermodynamics, you can built infinite dimensional phase space and so you would be able to see SU(N) for any large N. Can we see the SU(3) boundaries of SU(4) at high energy particle accelerators? I think it would be interesting to do the experiment, it could open the way to the discovery of an infinite set of new "fundamental" forces, one for each SU symetry. Yvan Bozzonetti. --part1_27.28842b8d.2a30a291_boundary Content-Type: text/html; charset="US-ASCII" [ AUTOMATICALLY SKIPPING HTML ENCODING! ] Rate This Message: http://www.cryonet.org/cgi-bin/rate.cgi?msg=19212