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Topic: Gauge freedom


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In the News (Thu 16 Feb 12)

  
  Gauge fixing - Wikipedia, the free encyclopedia
In the language of vector bundles, appropriate to classical gauge theories, the choice of a gauge corresponds to choosing a section on the bundle.
Gauge transformations in general relativity correspond to the action of general coordinate invariance.
For SU(3) gauge theory in D dimensions, the maximum Abelian subgroup is a U(1)XU(1) subgroup.
en.wikipedia.org /wiki/Gauge_freedom   (743 words)

  
 Gauge Freedom in the N-body Problem of Celestial Mechanics - Storming Media
The freedom in choosing this submanifold reveals an internal symmetry inherent in the description of the trajectory by orbital elements.
This freedom is analogous to the gauge invariance of electrodynamics.
In traditional derivations of the planetary equations this freedom is removed by hand through the introduction of the Lagrange constraint, either explicitly (in the variation-of-constraints methods or implicitly (in the Hamilton-Jacobi approach).
www.stormingmedia.us /16/1682/A168224.html   (277 words)

  
 Philosophical Reflections in Physics and Math   (Site not responding. Last check: 2007-11-05)
To begin with, instead of transporting a gauge with one vectoral arrow (which represents electric charge) as is the case in QED, the gauge fields of QCD involve transporting a gauge with three vectoral arrows - one arrow for each of the color charges which is possible.
Because the gauge fields of QCD incorporate more degrees of freedom than do the gauge fields of QED, it opens up the possibility that the plaquettes of the lattices representing QCD gauge fields can manifest more varieties of twists than are exhibited in the plaquettes of QED gauge fields.
Unlike the methods of QCD, however, hermeneutical gauge field theory does not presuppose that either the spectrum of ratios or the configurations or the phase states or the levels of scale are infinite in number.
amanesis.org /Physics/gaugef.htm   (3500 words)

  
 Quantum Gravity Concept Map - Degrees of Freedom
Gauge freedom is a result of having unphysical degrees of freedom in the mathematical description of the physical world.
But which set of phases (which gauge choice) is chosen does not: that is, the gauge choice represents a choice of a single set of consistent phases throughout spacetime among an infinite number of such sets (corresponding to the points on the circles).
The gauge model of elementary field interactions describes the forces between fermion field quanta as arising from the exchange of gauge boson field quanta.
www.rwc.uc.edu /koehler/qg/dof.html   (829 words)

  
 The Tom Bearden Website
Gauge freedom and regauging are widely used in modern physics.
By contrast, present thermodynamics is in serious conflict with gauge freedom, and in fact thermodynamics erroneously excludes that gauge freedom principle itself.
Gauge freedom requires that the magnitude of a potential—and hence the potential energy of the system—can be freely changed at will, without performing work and without cost to the system operator.
www.cheniere.org /techpapers/leyton.htm   (1372 words)

  
 gauge theory
To couple such gauge fields to matter currents, the latter must be conserved, which means (given the known conservation laws) that the gauge fields either have spin 1 (coupling to a conserved vector current), or spin 2 (coupling to the energy-momentum tensor).
The general gauge principle was in fact known much earlier (Klein 1938, who even had the idea to describe weak interactions with a non-abelian gauge theory in those early days, but it was forgotten for a while!).
Logically, gauge invariance is on the same footing as coordinate invariance and going from, say, a ground lab to an orbiting lab requires both a coordinate and a gauge transformation.
www.pych-one.com /new-5482491-4396.html   (8331 words)

  
 [8.03] The Physical Meaning and Application of Gauge Freedom in Orbital Mechanics   (Site not responding. Last check: 2007-11-05)
Gauge freedom emerges when the number of mathematical variables exceeds the number of physical degrees of freedom and, thus, generates a continuous group of physically-equivalent reparametrisations of the theory.
In orbital mechanics gauge-type freedom emerges when we relax the Lagrange constraint and, thus, model the perturbed trajectory by a sequence of instantaneous Kepler ellipses that are not tangent to the trajectory.
In celestial mechanics there exists a subtle interplay between the freedom of gauge and the freedom of frame choice, though these freedoms are essentially of a different nature.
www.aas.org /publications/baas/v36n2/dda04/5.htm   (366 words)

  
 The Standard Model of Particle Physics
An important aspect of this theory is the gauge freedom because of which the simplest and explicitly local description of the theory involves the introduction of spurious degrees of freedom.
In other words, the entire gauge field is not really an observable, but simplistic attempts at eliminating the unphysical degrees break the manifest locality of the formulation.
Gauge theories are usually specified by giving their `matter content' (i.e.
t8web.lanl.gov /people/tanmoy/standard_model.html   (1213 words)

  
 [No title]   (Site not responding. Last check: 2007-11-05)
Gauge invariance or symmetry is the reason for the existence of forces.
The quantum 'gauge' freedom of measurement permits man (and possibly a higher consciousness in a hierarchical relationship), to redefine the universe continually by perceptions and thoughts.
The freedom to adjust the Tai Chi from different levels of being is the connection between the distinct levels of thought (or imagination) and experience.
www.empyreanquest.com /science/qtc/qtaichi.htm   (20879 words)

  
 Re: Lattice Gauge Theory   (Site not responding. Last check: 2007-11-05)
So then the dimension of the gauge > degrees of freedom is V-1, or in the example, equal to 5.
I claim that there is one >> degree of gauge freedom for every edge in a maximal >> simply connected subgraph of (V,E).
The idea, I think, is that in a loop, one of the edges doesn't contribute a gauge freedom because of the condition that the holonomy of the connection around the loop is constant, fixing the value on one edge if the values on the other edges are known.
www.lns.cornell.edu /spr/2003-08/msg0052867.html   (620 words)

  
 Re: Non-gauge forces
I had always believed this was due to the masslessness of the photon, and Wigner's theory of Poincare' irreps, i.e: massless vector irreps only have 2 degrees of freedom.
> I think that the term gauge symmetry ought to be > reserved for those symmetries which cut down the naive > number of degrees of freedom.
[gauge symmetries] act trivially on the Higgs particle", you should probably have written something like: "...[gauge symmetries] do not reduce the degrees of freedom of the Higgs particle".(?) - MikeM.
www.lns.cornell.edu /spr/2003-09/msg0053749.html   (517 words)

  
 Freedom Train and American Freedom Train relatedNews & Events   (Site not responding. Last check: 2007-11-05)
Craig Harmon of The Lincoln Highway National Museum and Archives has unearthed the scrolls at the National Archives in College Park, MD. The Freedom Scrolls were paper scrolls that visitors to the 1947-49 Freedom Train could sign pledging to uphold their country's legacy of Freedom.
Richard Beard, mechanical engineer on the 1947 Freedom Train, delighted the '76 crowd with stories of the two times he remembered the 1947 Freedom Train being pulled by steam locomotives.
If you worked on either Freedom Train and have never attended a reunion, please contact the Museum and your contact information will be forwarded to the reunion hosts.
www.freedomtrain.org /news.htm   (1546 words)

  
 gauge - Hutchinson encyclopedia article about gauge   (Site not responding. Last check: 2007-11-05)
Any scientific measuring instrument – for example, a wire gauge or a pressure gauge.
Gauge thy gape with buck or goat, Lest thine eye should choke thy throat, After gorging, wouldst thou sleep?
This was not a mere guess; her connection with the child was still so close, that she could gauge by the flow of her milk his need of food, and knew for certain he was hungry.
encyclopedia.farlex.com /gauge   (178 words)

  
 [9.05] Satellite Orbit Plane Perturbations Using an Efroimsky Gauge Velocity   (Site not responding. Last check: 2007-11-05)
The arbitrary difference between the two velocities is specified by a ``gauge velocity'' analogous to the gauge in electromagnetic potentials.
This gauge velocity is zero for osculating elements.
As a simple, illustrative example of how this gauge freedom can simplify the resulting element expressions, we compute the J2 gravity perturbations to the plane of a circular satellite orbit.
www.aas.org /publications/baas/v35n4/dda2003/53.htm   (201 words)

  
 Harmonic gauge
With the gauge condition 2.39 the Einstein Equations are wave equations, as in equation: 2.10.
This gauge mode corresponds to a free propagating wave.
the harmonic gauge is then just the same as Coulomb gauge, and the retardation in equation 2.41 becomes irrelevant because of equation 2.37.
www.mit.edu /~sballmer/physics/dipl/node16.html   (219 words)

  
 Bearden on Leyton.
In thermodynamics, it shows that the present equating of a change of external parameter (such as potential or field) as work [[5]] is erroneous, since simply changing the magnitude of the parameter is not a change of Leyton hierarchical level.
Our comment is that, rigorously, work is the change of form of energy, not the change of the magnitude of some form of energy per se.
219-221; 811-812 shows how gauge freedom is conventionally and rather universally applied in classical electrodynamics by symmetrically regauging the Maxwell-Heaviside equations, making the resulting equations much easier to solve.
www.rci.rutgers.edu /~mleyton/Bearden.html   (1335 words)

  
 [No title]   (Site not responding. Last check: 2007-11-05)
To science groupings and Bearden grouping of forty five scientists, I think that this note to the Bearden grouping is a clear description of the possibilities that come about when the U(1) gauge freedom concept is replaced by the notion of physically meaningful potentials.
The B(3) field is an example of a physical obervable which is a field that is not gauge invariant in U(1) electrodynamics, because it is not the curl of a magnetic vector potential.
The most general type of gauge field theory used in high energy physics allows all kinds of non-linearities in A. The term A(1) x A(2) is only one of many possibilities.
www.navi.net /~rsc/physics/beard20.txt   (2292 words)

  
 Gauge Freedom
In the previous section, it was implied that a gauge freedom exists with regard to the zeroth order occupied orbitals.
It is necessary to consider the issue of gauge freedom with regard to the higher order wavefunctions.
It should be noted that this is not the only gauge possible; it is sometimes useful, if one is interested in obtaining derivatives of the Kohn-Sham eigenenergies, to demand that the Lagrange multiplier matrix is diagonal at all orders.
cmt.dur.ac.uk /sjc/thesis_prt/node44.html   (268 words)

  
 The Bearden Free Energy Collector
Gauge field theory and the standard Lorentz symmetrical regauging of the Maxwell-Heaviside equations already implicitly assume that this can be done.
If it CANNOT be done, then that falsifies the gauge freedom principle itself, which in turn falsifies gauge field theory and most of the advanced physics of the day.
Hence the notion of gauge freedom, or pure changing of potential energy being "free" and costing nothing in theory.
jnaudin.free.fr /html/tbfrenrg.htm   (2232 words)

  
 Robotics Institute: Gauges and gauge transformations for uncertainty description of geometric structure with ...
Gauges and gauge transformations for uncertainty description of geometric structure with indeterminacy
Finally, we show simulated and real-image examples to illustrate the effect of gauge freedom on uncertainty description.
Kanatani and D.D. Morris, "Gauges and gauge transformations for uncertainty description of geometric structure with indeterminacy," IEEE Transactions on Information Theory, Vol.
www.ri.cmu.edu /pubs/pub_3798.html   (258 words)

  
 Gauge   (Site not responding. Last check: 2007-11-05)
General relativity leaves us the freedom to choose the coordinate system in which to represent perturbations from complete homogeneity and isotropy.
This leads to gauge freedom or gauge ambiguity that is often a source of confusion for the uninitiated.
This particular gauge also has the benefits in that its non-relativistic limit reduces to ordinary Newtonian gravity and hence our intuition for things like potential wells can be carried over directly.
0-background.uchicago.edu.luna.wellesley.edu /~whu/physics/aux/gauge.html   (272 words)

  
 Gauge Freedom in the N-body Problem of Celestial Mechanics - Storming Media
Abstract: Whenever a standard system of six planetary equations(in the Lagrange, Delaunay, or other form) is employed, the trajectory resides on a 9(N- 1)-dimensional submanifold of the 12(N-1)-dimensional space spanned by the orbital elements and their time derivatives.
In traditional derivations of the planetary equations this freedom is removed by hand through the introduction of the Lagrange constraint, either explicitly (in the variation-of-parameters method) or implicitly (in the Hamilton-Jacobi approach).
This constraint imposes the condition that the orbital elements osculate the trajectory, i.e., that both the instantaneous position and velocity be fit by a Keplerian ellipse (or hyperbola).
www.stormingmedia.us /83/8323/A832324.html   (192 words)

  
 The Tom Bearden Website
Either the gauge freedom axiom is false, which destroys gauge field theory (our most modern and advanced theory) or one is free to add energy to the system at will.
Note that the gauge freedom axiom DOES NOT advance the mechanism(s) by which the excess energy appears in the system at our will (when we exercise our right to use the axiom).
Either gauge freedom destroys the entire notion of energy conservation, or there must be a mechanism (or many mechanisms) and a source (or several sources) for that "sudden regauging receipt of excess and free energy into the system".
www.cheniere.org /correspondence/080801.htm   (1587 words)

  
 ZPEnergy.com - Precursor Engineering: Directly Altering Physical Reality
The energy field in space is only a precursor of the force field in matter; no force is present or involved until the precursor field interacts with charge and mass to produce a force field with mass as a component.
Technically, the change and structuring of massless spacetime/vacuum to produce a net precursor field is asymmetric regauging, and it requires no work because of the well known gauge freedom axiom.
The second law is already totally refuted by gauge freedom itself, as well as by every charge, EM field, and EM potential in the universe.
www.zpenergy.com /modules.php?name=News&file=print&sid=652   (705 words)

  
 Double-Gauge Invariant Local Quantum Field Theory of Charges and Dirac Magnetic Monopoles
But the same thing is possible for the restricted class of gauge functions at hand, with the form (10).
Fortunately, however, due to the monopole gauge invariance of the action (3) under (9), most configurations of the surfaces S are physically irrelevant.
We have omitted a gauge fixing term for the ordinary electromagnetic gauge since it is standard.
www.physik.fu-berlin.de /~kleinert/kleiner_re205/monopqf2.html   (1087 words)

  
 Philosophy of Physics Workshop - Symmetries in Physics: New Reflections   (Site not responding. Last check: 2007-11-05)
Gauge theories have dominated high energy theoretical physics during the last three decades of the twentieth century.
Gauge theories are specially designed -I dare saying- for describing interactive fields ; interaction laws arise naturally as the solution of a variational problem.
When I started approaching the fibre bundle formalism of gauge theories from a philosophical standpoint, I was trying to find out what were the main ideas which were common in all the relevant papers and manuscripts.
www.philosophy.ox.ac.uk /conferences/graduate/_2000-2001_phil_physics   (2428 words)

  
 [No title]   (Site not responding. Last check: 2007-11-05)
Also of great importance is the method (shown in Section 4.A) for constructing the appropriate gauges needed in the RWM method to check that extinctions are not accidental results of the initial choice of gauge.
Lowering the rank of the lattice results in (1) new linear relationships between the phase functions that describe the point group, and (2) reduces the gauge freedom existing in the higher-rank lattice.
The formulation of the method in terms of the cohomology of groups allows for a much easier classification of space groups, the need to construct a gauge is removed, but the duality of cohomology and homology allows the necessary extinctions and necessary degeneracies to be easily determined.
ewald.cas.usf.edu /quasibiblio.txt   (4282 words)

  
 Gauge Transformations   (Site not responding. Last check: 2007-11-05)
A gauge transformation is a change in the correspondence between the perturbation and the background represented by the coordinate shifts  
The stress-energy perturbations in different gauges are similarly related by the gauge transformations 
The relation between the synchronous and Newtonian gauge equations follow from these relations.
background.uchicago.edu /~whu/otamm/webversion/node16.html   (113 words)

  
 Gauge freedom of Dirac theory in complexified spacetime algebra
Gauge freedom of Dirac theory in complexified spacetime algebra
We argue the SU(3) freedom corresponds to colour.
U(1) gauge freedom mixes to give two photon fields responsible for the charge assignments of the standard model.
stacks.iop.org /0305-4470/35/4737   (230 words)

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