Science > Physics > Eric Davis's misunderstanding of the Higgs origin of inertia
| Topic: |
Science > Physics |
| User: |
"Jack Sarfatti" |
| Date: |
22 Aug 2005 08:14:37 PM |
| Object: |
Eric Davis's misunderstanding of the Higgs origin of inertia |
Begin forwarded message:
From: Jack Sarfatti <sarfatti@pacbell.net>
Date: August 22, 2005 6:09:43 PM PDT
To: Robert Baker <robert.baker.jr@comcast.net>
Subject: Note on Higgs mechanism
"Still haven't found Higgs after 20 years, so I don't think it exists.
The LHC is coming on line in short time, so I think this will be the
definitive end of the
line for a Higgs boson search. If it isn't found in the LHC, then quantum
field theorists will be forced to confront other models for inertia and
mass that have nothing to do with the Standard Model formulation." Eric
Davis
What Eric wrote above is wrong. He does not understand the Higgs
mechanism origin of inertia at all! It does not depend at all on the
finding of a real Higgs particle on-mass-shell. The Higgs-Goldstone
origin of inertia is strictly a virtual quantum effect inside the
coherent vacuum with order parameter phi. See for example the recent
SLAC Summer School Lectures
http://www-conf.slac.stanford.edu/ssi/2005/lec_notes/Dienes1/default.htm
http://www-conf.slac.stanford.edu/ssi/2005/lec_notes/Dienes2/default.htm
especially
http://www-conf.slac.stanford.edu/ssi/2005/lec_notes/Dienes1/Dienes1_Page_10_jpg.htm
For the Yukawa coupling formulae for the inertia of the quarks and
leptons. This only depends on the charge neutral component magnitude of
the order parameter |phi| = v. Eric simply is speaking off the top of
his head. The mass of the Higgs is in the small vibrations around v! It
has nothing to do direction with the equilibrium value v about which the
small vibrations occur.
Consider a harmonic oscillator
d^2(x - v)/dt^2 + f^2(x - v) = 0
For small linear oscillations around the "equilibrium" v from SSB in the
vacuum probably from the SU(2)hypercharge group.
The potential is
U = k(x - v)^2 = k(x^2 + v^2 - 2vx)
dU/dx = 2kx - 2v
d^2U/dx^2 = 2k
The mass m of the on-mass shell Higgs here is from
f^2 = k/m
It is independent of v!
The Yukawa coupling for the inertia of the quarks and leptons in the
standard model does not at all depend on the actual rest mass of the
on-mass-shell Higgs particle.
Where does v come from? It comes from the entirely different equation (I
do U(1) SSB for math simplicity in a toy model)
V(psi) = a|psi|^2 + b|psi|^4
dV/d|psi| = 0
2a|psi| + 4b|psi|^3 = 0
a + 2b|psi|^2 = 0
i.e.
a + 2bv^2 = 0
v^2 = - a/2b > 0 is SSB
Note the Yukawa coupling formula for the inertia of the quarks and the
leptons in
http://www-conf.slac.stanford.edu/ssi/2005/lec_notes/Dienes1/Dienes1_Page_10_jpg.htm
has fermion inertia ~ v
In contrast the boson inertia is in
http://www-conf.slac.stanford.edu/ssi/2005/lec_notes/Dienes1/Dienes1_Page_09_jpg.htm
Eric Davis has raised a RED HERRING based on his ignorance of the
standard model.
.
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