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Topic: Gauge space

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	Gauge theory - Wikipedia, the free encyclopedia
		Gauge theories became even more attractive when it was realized that non-abelian gauge theories reproduced a feature called asymptotic freedom, that was believed to be an important characteristic of strong interactions—thereby motivating the search for a gauge theory of the strong force.
		Note that although gauge theory is dominated by the study of connections (primarily because it's mainly studied by high-energy physicists), the idea of a connection is not essential or central to gauge theory in general.
		The space of smooth (although in physics, we often don't deal with smooth functions) sections of this bundle forms a principal homogeneous space of the group of gauge transformations.
	en.wikipedia.org /wiki/Gauge_theory (2411 words)

	Metrization theorem - Wikipedia, the free encyclopedia
		In topology and related areas of mathematics, a metrizable space is a topological space that is homeomorphic to a metric space.
		uniformizability, a topological space homeomorphic to a uniform space
		Gauge space, a topological space where the topology can be defined by a family of pseudometrics
	en.wikipedia.org /wiki/Metrization_theorem (384 words)

	American AntiGravity - Dr. Ning Wu's Gauge-Theory of Gravity
		But in quantum gauge theory of gravity, gravitational force is considered to be a kind of physical interactions, and the concept of curved space-time is only a convenient and equivalent description of the classical effects of gravitational interactions.
		The basic of gauge theory of gravity is the physics picture, and quantum gauge theory of gravity is established in the physics picture of gravity.
		As we have stated above, the transcendental principle of gauge theory of gravity is gauge principle, and and transcendental principles of general relativity is equivalence principle and the principle of general covariance.
	www.americanantigravity.com /ning-wu-article.shtml (4595 words)

	[No title]
		The first gauge field which determines the dimension, quantity and force being the spasonic field of which all mass is composed.
		The neutralizing gauge field that creates separate different kinds of atoms is called the electron, one for each of the protons that exist in the nucleus of the atom.
		The basic gauge or measurement of space is the spacetron or the smallest quantity of independent space; 2 x 10 ^-42 meters.
	www.cojoweb.com /missing-link-5.html (897 words)

	[No title]
		Those who are confined to a subset gauge (space-time realm) will be deluded into thinking that their symmetry rules for that particular gauge (space-time realm) will be universal laws.
		This universe attempts to place each space resonance on a geodesic path and with a geodesic spin and even precession whereby energy will be balanced with the vector energy given out equaling the vector energy received from the rest of the universe.
		Once more: This universe attempts to place each space resonance on a geodesic path or with a geodesic spin whereby it will be balanced with the vector energy given out equaling the vector energy received from the rest of the universe.
	www.rbduncan.com /fuqcc1.htm (741 words)

	[No title]
		One then wants to eliminate the gauge > > degrees of freedom by passing to orbit space, but this cannot be done in > > the presence of anomalies of any kind.
		If you assume that gauge degrees of freedom must be redundant after quantization, and they in fact are not, you run into an inconsistency.
		I, unlike you, was interested in understanding the physics of what it meant to "quantize an anomalous gauge theory" in those (rare) circumstances where it is supposed to be possible.
	www.math.niu.edu /~rusin/known-math/01_incoming/BRST (1929 words)

	The Intrinsic Motions of Time, Space, and Gravity
		The expansion and cooling of space reduces the Universe's capacity for work, hence c is the entropy drive as well as the symmetry gauge of space and free energy.
		A non-local gauge of "infinite" velocity is required to protect energy conservation by ensuring the homogeneity (symmetry) of inertial metric forces and the prevention of uncentered "rogue" gravitational fields, irrespective of the rate of Universal expansion.
		G is the gauge of the entropic equivalency between space and time, regulating the conversion of space and spatial entropy to time and temporal entropy in a fixed proportion per unit mass (Gm).
	www.people.cornell.edu /pages/jag8/motion.html (4191 words)

	VoDou Physics D4-D5-E6-E7-E8
		It is a complex space corresponding to a bounded complex homogeneous domain whose Shilov boundary is 8-dimensional.
		and the (24+4)=28-dim space of gauge bosons being related to the 8 + (8+8) = 24-dim space of spacetime + fermions by the duality between the 24 vertices of a 24-cell and the 24 cells of a 24-cell (or equivalently the 24 vertices of a dual 24-cell):
		In Abelian gauge theories like electrodynamics this problem can be avoided by applying the Comeman-Mandula theorem to the theory with a fictitious gauge boson mass, and then working only with 'infrared-safe' quantities like masses and suitable integrated cross-sections that are finite in the limit of zero gauge boson mass.
	www.valdostamuseum.org /hamsmith/d4d5e6hist2.html (4426 words)

	Left-right symmetric gauge model in a noncommutative geometry on ???? (Site not responding. Last check: 2007-10-15)
		The generalized gauge field introduced in such a way contains both the ordinary gauge field and the Higgs field, which realizes a unified picture of the gauge and Higgs fields on the same footing.
		The generalized gauge field is defined there and a geometrical picture for the unification of the gauge and Higgs fields is realized.
		In addition, we adopt the fermion field to be a vector in a 24-dimensional space including the generation space together with the space of flavor and color symmetry.
	www.sif.it /cimento/toca/110.03/03/03.html (3571 words)

	The gravity–gauge theory correspondence (Site not responding. Last check: 2007-10-15)
		Space and time are themselves dynamical in M theory, so different vacua of the theory describe different background spacetime geometries.
		A schematic representation of the space of vacua of M theory.
		String theory in flat space is understood beyond the supergravity approximation because the quantum description of the dynamics of a single string in flat space exists, i.e.
	www.ias.ac.in /currsci/dec251999/articles22.htm (6941 words)

	Three ways to loop flatness \| The String Coffee Table
		The form of the loop space connection in both cases is found to be the same, but different conditions on the vanishing of its curvature arise for applications in integrable systems as opposed to applications for the configuration space of relativistic superstring.
		I think it is important to note that gauge equivalent connections on loop space have nontrivial effect on the physics of bounded surfaces.
		This means that this condition (which from the loop space perspective is special due to a couple of properties) ensures that the 2-form theory one is dealing with is really a 2-group theory.
	golem.ph.utexas.edu /string/archives/000405.html (4324 words)

	An Introduction to the Gauge Integral
		Cousin's Lemma is not obvious; that is admittedly a drawback in the gauge theory.
		The gauge integral is far simpler to define than the Lebesgue integral -- it does not need to be preceded by explanations of sigma-algebras and measures.
		[a,b] is a subset of the Denjoy space.
	www.math.vanderbilt.edu /~schectex/ccc/gauge (4371 words)

	SignOnSanDiego.com > News > Science -- Engineers scrambling to understand fuel gauge failure on shuttle
		NASA remains stumped as to why one of four hydrogen-fuel gauges in Discovery's external fuel tank malfunctioned during a routine pre-launch test Wednesday.
		The problem could be in the gauge at the bottom of the tank – an electronic box aboard the shuttle that serves as a data-relay hub – or in the cables and wires in between.
		The fuel gauges are critical and even though only two are needed, all four must be working properly for a launch to proceed.
	www.signonsandiego.com /news/science/20050715-0507-spaceshuttle.html (765 words)

	Sorting 223 caliber bullets by surface bearing length
		Once the chamber or pocket is cast into the gauge insert the insert may be adjusted and locked into position for measuring the surface bearing length which includes the boat tail length.
		Using the Neal Jones 22 Rimfire Head Space Gauge I was able to easily differentiate the groups by 0.0005 of an inch.
		The Neal Jones 22 Rimfire Head Space Gauge was easy to use and I could measure the 80 grain bullets just about as fast as measuring head space of 22 Rimfire cartridges.
	mywebpages.comcast.net /jesse99/sorting80.html (753 words)

	Instantons
		Then mappings from the boundary of the four dimensional Euclidean space to the manifold of vacua is homotopically nontrivial and topologically stable classical instantons, classified by an integer, appear.
		The interesting feature of instantons is that unlike vortices and monopoles, they appear as finite energy solutions in pure gauge theories, as well.
		is a non-gauge invariant vector having a simple explicite representation in terms of the gauge fields.
	www.physics.uc.edu /suranyi/conf-lectures/node14.html (439 words)

	Metanexus Institute
		First, local gauge transformations (The local lorentz transformations, or a subgroup of them, as in the use of Chiral SU(2) in 3+1) are treated differently from spatial diffeomorphisms.
		The time coordinate on the full configuration space of GR that seems most suited for the study of the full theory is shown there to be the imaginary part of the Chern-Simons invariant of the Sen-Ashtekar connection.
		Its "stage" (the classical configuration space after hypothetically solving the momentum constraints) is assumed to be the space of coordinate-free three-geometries.
	www.metanexus.net /metanexus_online/show_article.asp?8610 (7113 words)

	Tangent space (Site not responding. Last check: 2007-10-15)
		Nonholonomic tangent spaces: intrinsic construction and rigid dimensions...
		On The Tangent Space To The Space Of Algebraic Cycles On A Smooth Algebraic Vari...
		Green, M. and Griffiths, P.: On the Tangent Space to the Space of Algebraic Cycl...
	www.scienceoxygen.com /math/610.html (210 words)

	Rack Hardware - zZounds.com
		(3 rack space) heavy-duty drawer has a faceplate with a fl anodized finish.
		3 rack spaces (5-1/4 in.) high, they are made from 16-gauge flanged aluminum.
		This is Raxxess's one space, 14-gauge steel rack shelf.
	www.zzounds.com /cat--Rack-Hardware--2761 (873 words)

	Classical deformations of 2d SCFTs - Part II: Algebra Isomorphisms \| The String Coffee Table
		induce pure gauge transformations in the sense that all algebra elements are transformed by the same unitary similarity transformation.
		is the logarithm of a vielbein on loop space, regarded as a matrix.
		on loop space (which is manifestly of reparametrization weight 1) and show that the superconformal algebra that it induces is indeed that found by a canonical treatment of the usual supersymmetric
	golem.ph.utexas.edu /string/archives/000278.html (6379 words)

	MORE ABOUT THE CONTRACTING UNIVERSE HYPOTHESIS (Site not responding. Last check: 2007-10-15)
		But more important, our clocks are becoming smaller: both the length of the pendulum in ordinary clocks, the size of the electron's orbit in atomic clocks, causing our measurement of time to speed up in a way which is proportional to decreasing distances being traveled.
		In this hypothesis, the rate of generation of hydrogen in any finite region of the universe, is directly proportional to the field density, as a matter of probability.
		This is reasonable to assume, since all wavelengths larger than the normal 6,000 degree fl body curve must find their source in distant and very old space, in order to be that large, and therefore must travel greater distances than shorter wavelengths, and thus suffer greater extinction losses.
	zyx.org /CUH.html (4128 words)

	Aberration of Starlight (Site not responding. Last check: 2007-10-15)
		For example, if the star and observer are traveling on parallel paths, with the star some distance ahead of the observer such that the beam of light in question is directed backwards towards the observer at a fixed angle, the observer should observe its approach at the same angle.
		Part of the problem was the natural expectancy that ontological arguments should abide to known material behavior, particularly in the case of ether, to that of fluids, leaving theoreticians with inexplicable problems associated with fluid dynamics, especially those concerning the earth's drag through ether.
		Essentially what happens, is that any ponderable mass moving through space, sweeps the field ahead into it; causing field compression in proximity to the mass, while at the same time, the field leaving the proximity of any mass, accelerates behind and away from the mass, regaining normal density within approximately ten radii behind it.
	zyx.org /ABERRATION.html (1706 words)

	Ken Farrell, Inc. -- Head space transfer gauge
		This transfer gauge makes the chambering of a rifle BBL much easier and with extreme accuracy.
		First you adjust the red plug to the face of your bolt from the front of the receiver (when BBL has a shoulder which rest against the face of your receiver) Next you transfer this reading to your indicator.
		Now using your chambering gauge, set the indicator on to the BBL shoulder and take your reading.
	www.kenfarrell.com /HSTS-Rem-BP.html (111 words)

	R. B. Duncan Press
		This is telling you that each of these different gauges also has an invariance of the space-time interval within each gauge as well.
		Not only are time, space and gravity composed of quantum bits but magnetism is as well.
		Such clocks would be alike since space, the medium of the waves, is mostly homogeneous.".
	www.rbduncan.com /page4.html (4058 words)

	Consciousness Alters Space
		"In a ´normal space,´ which is called a U{1}-Gauge space," Tiller says, the magnetic force is proportional to the gradient of the square of the magnetic field.
		This simply means that if you do that experiment in a "normal space," there will be no difference, no matter which way the magnet is turned.
		In this "conditioned space," though, we have been able to get differences of 1-1/2 pH units depending upon which way the magnet was turned.
	www.rialian.com /rnboyd/intention-symmetry.htm (1291 words)

	DC MetaData for: Maximal Non--Abelian Gauges and Topology of Gauge Orbit Space (Site not responding. Last check: 2007-10-15)
		orbits $\CM$ for gauge theories over spaces with dimensions $d\leq 3$.
		The gauge fixings are {\it complete} in the sense that describe an open
		behaviour of gauge theories in one, two and three space dimensions.
	www.esi.ac.at /Preprint-shadows/esi651.html (177 words)

	Lightning Research Is Charged With Finding A Rain Gauge In Space
		Lightning Research Is Charged With Finding A Rain Gauge In Space
		Much of that soft hail carrying the negative charge ultimately reaches the ground as precipitation.
		The association between lightning and rainfall has already received some confirmation from the Optical Transient Detector, a sensor that was launched aboard a National Aeronautics and Space Administration satellite in April last year to detect and locate lightning flashes.
	www.eurekalert.org /pub_releases/1996-12/UoW-LRIC-091296.php (712 words)

	Stochastic Integrals in an arbitrary probability gauge space, by C. Barnett, R. F. Streater and I. F. Wilde. (Site not responding. Last check: 2007-10-15)
		Stochastic Integrals in an arbitrary probability gauge space, by C. Barnett, R. Streater and I. Wilde.
		We consider an increasing family of finite von Neumann algebras {A(alpha)}, a non-commutative version of the idea of a filtration in measure theory.
		In this paper we extend these results and give a definition of integral that does not employ condition D. Go to MY HOME PAGE for links and references to my papers and books on quantum field theory and statistical physics.
	www.mth.kcl.ac.uk /~streater/itoclif5.html (169 words)

	Almost Fixed Point Property of Nonexpansive Mappings (ResearchIndex) (Site not responding. Last check: 2007-10-15)
		The purpose of this note is to extend these results to a Hausdorff gauge space and prove fixed point theorems in the spirit of the conditions considered in [5].
		A topological space (X; T) is called a gauge space if the topology T is generated by a family P = fp ff : ff 2 Ig of pseudometrics on X,...
		13 Topologies on spaces of subsets (context) - Michael - 1951
	citeseer.ist.psu.edu /226228.html (270 words)

	God of the Machine
		Eustace exists in space, which means he deals with energy transfers that take place at his boundaries.
		He has been known to grow cilia and antennae (and more sophisticated sensory systems) to extend his range, but this is all pretty straightforward.
		Draw a three-dimensional mesh around the gas cloud and vary the grid spacing to calculate alpha.
	www.godofthemachine.com (12503 words)

	How the Power of Intention Alters Matter with Dr. William A. Tiller
		As described in Celeste Adams's interview (see The Conscious Creation of a New Paradigm), Dr. William A. Tiller's studies and experiments have proven that human consciousness "changes space." And he explains how this works in a way that's easy for us to follow and understand.
		They wanted to know whether there would be a difference in pH change in the water depending upon which pole was up.
		In conclusion, despite our attachment to it and our feeling of its solidity and persistence, what we think of as the physical universe is an almost incomprehensibly miniscule part of the immensity of All That Is.
	www.spiritofmaat.com /archive/mar2/tiller.htm (1357 words)

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