Science > Physics > New Paper: Magnetic Monopoles and Duality Symmetry Breaking in Maxwell's Electrodynamics
| Topic: |
Science > Physics |
| User: |
"Jay R. Yablon" |
| Date: |
24 Aug 2005 09:18:03 PM |
| Object: |
New Paper: Magnetic Monopoles and Duality Symmetry Breaking in Maxwell's Electrodynamics |
Hello to all:
I wanted to let you know about my new paper just posted at
http://arxiv.org/abs/hep-ph/0508257, titled Magnetic Monopoles and Duality
Symmetry Breaking in Maxwell's Electrodynamics.
This paper summarizes the main direction of my research over these past
eight months.
The abstract is as follows:
It is shown how to break the symmetry of a Lagrangian with duality symmetry
between electric and magnetic monopoles, so that at low energy, electric
monopole interactions continue to be observed but magnetic monopole
interactions become very highly suppressed to the point of effectively
vanishing. The "zero-charge" problem of source-free electrodynamics is
solved by requiring invariance under continuous, local, duality
transformations, while local duality symmetry combined with local U(1)_EM
gauge symmetry leads naturally and surprisingly to an SU(2)_D duality gauge
group.
I would be interested in any feedback, public or private, that you may wish
to provide.
Sincerely,
Jay R. Yablon
_____________________________
Jay R. Yablon
Email:
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| User: "Dr Photon" |
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| Title: Re: New Paper: Magnetic Monopoles and Duality Symmetry Breaking in Maxwell's Electrodynamics |
25 Aug 2005 07:47:58 AM |
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Jay R. Yablon wrote:
[read my paper]
So if a Yablonon did exist at 2.35 TeV, what's the best way to go about
looking for it? Would it be straightforward? What signature/lifetime
would it have? As it is so massive, would it have an incredibly short
lifetime and so be v. hard to distinguish from noise?
br
p.s. nice paper
p.p.s it seems you met Bjoern on this newsgroup? So sci.physics is
useful for something!
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| User: "Jay R. Yablon" |
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| Title: Re: New Paper: Magnetic Monopoles and Duality Symmetry Breaking in Maxwell's Electrodynamics |
25 Aug 2005 09:46:40 AM |
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"Dr Photon" <brendan.roycroft@nmrc.ie> wrote in message
news:1124974077.970444.91480@z14g2000cwz.googlegroups.com...
Jay R. Yablon wrote:
[read my paper]
So if a Yablonon did exist at 2.35 TeV, what's the best way to go about
looking for it? Would it be straightforward? What signature/lifetime
would it have? As it is so massive, would it have an incredibly short
lifetime and so be v. hard to distinguish from noise?
Hi there Dr. Photon!
Let me approach this from two directions:
First, the final footnote on page 34 points out that if one takes the main
results and applies them to weak and strong interactions (imposing a Dirac
Quantization Condition (DQC) for *their* couplings), that the vector bosons
which mediate magnetic monopole interactions for those interactions are
predicted to be around 436 GeV (strong, at pi/4 complexion) and about 1.3
TeV (weak, after adjusting running couplings for TeV range). There are
three mass events which seem to be causing a buzz out of the Tevatron: 1206
GeV, 1364 GeV, and 436 GeV. I suspect that the 1364 GeV and the 436 GeV
events may be the respective mediators of analogous magnetic monopole
interactions for weak and strong interactions, and so would look very, very
closely at these events. The weak mediator, I think, would also show us for
the first time the SU(2)R (right-handed) weak interactions which some
suspect exist at high energies, see next paragraph. (The reason these
masses are *smaller* than the 2.35 TeV mass from my paper, is because they
are based on the inverses, via DQC, of weak and strong couplings which are
larger than the EM coupling.)
Second, let me preview the next paper I will prepare (after a bit of a break
following eight months working toward this paper), which picks up from where
this one left off, to explore the SU(2) duality group that was a "surprise"
in section 7. If one starts with SU(2)_D and looks closely at the magnetic
monopoles themselves as fermions, it turns out that these are *not* wholly
independent of electric charges, and that chirality is the key to tying
these together (the electroweak analogy therefore goes even deeper). In
fact, the next "surprise" we will come upon is that the magnetic monopoles
are actually the left-handed chiral projections of the electric charges.
More to the point, in the "unbroken" Lagrangian the "electric" charges are
all right-handed and the magnetic charges are all left-handed, and this type
of chiral separation before symmetry breaking applies to the Lagrangian for
*any* interaction, not just U(1))_em. But, when we add their currents as in
(5.11), J^u' = J^u + P^u, the observed electric charge currents J^u' turn
out to be chiral symmetric, as is observed. So, the brief answer to your
question about "signature" (the full answer will need about a 20 page
paper), is to take equation (5.14) and look at what it would tell us if J^u'
is taken to be chiral symmetric and P^u is taken to be all left-handed. In
this case, since the complexion alpha is very small (sin^2 alpha = 2.131 x
10^-4, see (6.7)), we would find that the observed magnetic monopole current
P^u' couples with a very heavy weighting toward left-handedness. (BTW, it
could be exactly the opposite -- equally heavy right-handed weighting -- the
theory does not (yet) tell us which way to make the L, R assignments). So,
look for a magnetic monopole interaction that couples to *known* electric
charges (rather than some new independent fermions) with a very heavy (but
not 100% like weak interactions) weighting based on the square of the fine
structure coupling (accounting for Dirac's 1/2 factor).
So, if someone were to say "I found some weird vector boson near 2.3 or 2.4
TeV that couples the electrons or the quarks with a very heavy left (or
right) handed bias on the order of 10^4," I would say "Bingo!"
The even deeper upshot, is that in the *unbroken* Lagrangian, left- and
right-handed chiral projections are separate, and then they become combined
through equations like (5.11). This will help us to understand why the weak
interactions at low energies are strictly left handed (we are dealing with a
symmetry unbroken by a (5.11)-type condition). And, remember, left and
right handed Fermions, as two-component Dirac spinors, are massless. It is
only when we combine them to form a four-component spinor, that they gain
mass. Just like adding a third polarization using Goldstone scalars gives
mass to vector bosons. So, there is a very deep mass connection that
emerges here as well.
Now maybe I don't have to write the next paper. But, I suspect people will
want to see the details.
br
p.s. nice paper
Thank you!
p.p.s it seems you met Bjoern on this newsgroup? So sci.physics is
useful for something!
Yes it is. Now I met you too! I will say that Bjoern was indispensible in
helping me develop the paper. His critiques were always right on target.
Jay.
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| User: "Dr Photon" |
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| Title: Re: New Paper: Magnetic Monopoles and Duality Symmetry Breaking in Maxwell's Electrodynamics |
25 Aug 2005 11:11:47 AM |
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Jay R. Yablon wrote:
[complicated stuff]
So, if someone were to say "I found some weird vector boson near 2.3 or 2.4
TeV that couples the electrons or the quarks with a very heavy left (or
right) handed bias on the order of 10^4," I would say "Bingo!"
best of luck!
LHC plans to have proton-proton energies of 14 TeV, so that should be
good enough?
[snip more brainy stuff]
Now maybe I don't have to write the next paper. But, I suspect people will
want to see the details.
as for me, I would like to pass photons reflected from your paper into
my eyes, but I doubt the coupling to internal brain states will be
particularly high. I do laser research, not particle physics, so can
only vaguely follow. Just about enough to figure it is non-crank, but
not enough to see if there was a mistake somewhere.
[snip]
I will say that Bjoern was indispensible in
helping me develop the paper. His critiques were always right on target.
Note to all cranks: please read previous two sentences several times
;P
br
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| User: "FrediFizzx" |
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| Title: Re: New Paper: Magnetic Monopoles and Duality Symmetry Breaking in Maxwell's Electrodynamics |
26 Aug 2005 01:36:33 AM |
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"Dr Photon" <brendan.roycroft@nmrc.ie> wrote in message
news:1124986307.880075.325740@g43g2000cwa.googlegroups.com...
| Jay R. Yablon wrote:
|
| [complicated stuff]
|
| >So, if someone were to say "I found some weird vector boson near 2.3
or 2.4
| >TeV that couples the electrons or the quarks with a very heavy left
(or
| >right) handed bias on the order of 10^4," I would say "Bingo!"
|
| best of luck!
|
| LHC plans to have proton-proton energies of 14 TeV, so that should be
| good enough?
Yes, I think LHC should be able to see the signature of the massive
gauge boson related to magnetic monopoles. If this paper of Jay's
stands up to scrutiny which I believe it will, it should be a good
reason for experimental searches at LHC in the range he is predicting.
And I highly suspect the next "stop" past this will be mini quantum
black holes. Only they probably aren't so black for very long. ;-)
FrediFizzx
http://www.vacuum-physics.com/QVC/quantum_vacuum_charge.pdf
or postscript
http://www.vacuum-physics.com/QVC/quantum_vacuum_charge.ps
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