| |
 |
|
|
Science Forum Index » Physics - Relativity Forum » Correcting a Long-Standing Error in the Newton-Wigner...
Page 1 of 1
|
| Author |
Message |
| Jay R. Yablon... |
 Posted: Sat Jul 19, 2008 10:33 pm |
|
|
|
Guest
|
To all:
With some good advice along the way from Nuropulp in some recent threads
over at sci.physics.foundations, I believe I have found a solution to
the "perplexity" known since the time of Dirac, that the eigenvalues of
the velocity operator are equal to the speed of light, and have
therefore been taken as suggestive that fermions must travel at the
speed of light (subject then, to Zitterbewegung and the like).
In particular, following an earlier comment in which Nuropulp stated
"But in your transformed H = beta sqrt(m^2 + p^2), dH/dp_i is not
obviously the same as your transformed v," I have tried to ferret out
the cause of this inconsistency.
In the new, brief, 6.5-page draft paper posted below:
http://jayryablon.files.wordpress.com/2008/07/correcting-newton-wigner.pdf
I believe I have demonstrated that there is a long-standing error in the
Newton-Wigner Velocity Operator, and have corrected this error. This,
in turn, allows one to recognize that the eigenvalues of the velocity
operator (which must be invariant under the choice of representation,
e.g. no different as between the Pauli-Dirac or Weyl, and the
Newton-Wigner representations) are 1) equal to the speed of light as is
known and 2) invariant under Lorentz boosts applied to a fermion. There
is no problem with fermions moving at subliminous velocities: all that
happens is that the components of the velocity operator are mixed, but
the eigenvalues stay constant and remain equal in magnitude to the speed
of light.
Feedback welcome as always.
Best regards,
Jay.
____________________________
Jay R. Yablon
Email: jyablon at (no spam) nycap.rr.com
co-moderator: sci.physics.foundations
Weblog: http://jayryablon.wordpress.com/
Web Site: http://home.nycap.rr.com/jry/FermionMass.htm |
|
|
| Back to top |
|
| |
|
Page 1 of 1
All times are GMT - 5 Hours
The time now is Sat Nov 22, 2008 5:20 pm
|
|