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Topic: Lorentz term


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In the News (Sat 28 Nov 09)

  
  Lorentz covariance - Wikipedia, the free encyclopedia
Lorentz covariance requires that in two different frames of reference, located at the same event in spacetime but moving relative to each other, all non-gravitational laws must make the same predictions for identical experiments.
Note: this usage of the term covariant should not be confused with the related concept of a covariant vector.
Lorentz violation refers to theories which are approximately relativistic when it comes to experiments that have actually been performed (and there are quite a number of such experimental tests) but yet contain tiny or hidden Lorentz violating corrections.
en.wikipedia.org /wiki/Lorentz_invariance   (463 words)

  
 Lorentz factor - Wikipedia, the free encyclopedia   (Site not responding. Last check: 2007-10-11)
In special relativity, the Lorentz factor or Lorentz term is a term that appears very often and is used to make writing equations easier.
is the velocity in terms of the speed of light,
The Lorentz factor applies to time dilation, length contraction and relativistic mass relative to rest mass in Special Relativity.
en.wikipedia.org /wiki/Lorentz_factor   (385 words)

  
 The Theory of the Electron
Lorentz constructed a microscopic theory by using Maxwell's equations and adding to it an expression for the force which a charged particle experiences in the presence of electric and magnetic fields.
While the second term in (1) obviously arises from the self-field of the electron and is therefore often referred to as "radiation reaction." I shall not enter upon any further discussion of it, because this term will eventually disappear from the equation.
Since this equation is almost exactly the Lorentz equation in the point particle limit, and in order to avoid confusion with Dirac's equation for the electron in relativistic quantum mechanics, this equation is referred to as the "Lorentz-Dirac Equation." In fact, the radiation term was also known long before Dirac.
www.philsoc.org /1962Spring/1526transcript.html   (6306 words)

  
 Electromagnetism: Maxwell's Equations and their Solutions - Numericana
The expression of the Lorentz force introduced here defines dynamically the fields which are governed by Maxwell's equations, as presented further down.
The second term is zero if there's not net electric charge, in which case the value of the first term does not depend on the origin chosen for positions.
The second term is zero for confined currents, in which case the value of the first term does not depend on the origin chosen for positions.
home.att.net /~numericana/answer/maxwell.htm   (3563 words)

  
 ScienceWeek
In this context, the term "Lorentz frame" refers to any of the family of inertial coordinate systems, with 3 space coordinates and 1 time coordinate, used in the special theory of relativity.
In this context, the term "Lorentz transformation" refers to any of the family of linear mathematical transformations used in the special theory of relativity to relate the space and time variables of different Lorentz frames.
In this context, the term "Lorentz invariance" refers to the property, possessed by the laws of physics and by certain physical quantities, of being the same in any Lorentz frame, and thus unchanged by a Lorentz transformation.
scienceweek.com /2004/sb040730-6.htm   (574 words)

  
 2.5 Lorentz violation and the equivalence principle   (Site not responding. Last check: 2007-10-11)
Lorentz violation implies a violation of the equivalence principle.
Intuitively this is clear: In order for there to be Lorentz violation particles must travel on world-lines that are species dependent (and not fully determined by the mass).
terms are different, as is natural with some Lorentz violating models [110], then it is also obviously violated.
www.univie.ac.at /EMIS/journals/LRG/Articles/lrr-2005-5/articlesu5.html   (235 words)

  
 Vance Publishing's W&WP magazine - November 2005 Feature   (Site not responding. Last check: 2007-10-11)
Lorentz prides his company on many things, but perhaps most important is the flexibility of its product line.
Lorentz says he has worked these partnerships out by simply sitting down with Ovation’s vendors, making accurate projections and working out a game plan that allows his company to meet delivery times.
Lorentz’s philosophy on equipment, he says, is to purchase it as needed, not as desired.
www.iswonline.com /wwp/200511/bestofwood100.cfm   (4398 words)

  
 [No title]
Here we formalize this conjecture by means of a stochastic ensemble of Lorentz gases, in which i.i.d.\ random scatterers are placed in each cell of a co-compact lattice in the plane.
We prove that the typical Lorentz gas, in the sense of Baire, is recurrent, and give results in the direction of showing that recurrence is an almost sure property (including a zero-one law that holds in every dimension).
This dynamical \sy\ generalizes on the one hand the so-called `Sinai \bi', in which the particle is confined to a bounded domain, and on the other hand the \emph{periodic} Lorentz gas, in which the \sca\ configuration is invariant for the action of a co-compact lattice in $\R^2$.
www.ma.utexas.edu /mp_arc/papers/04-327   (7826 words)

  
 On the uniqueness of QED
This term respects Lorentz invariance, gauge invariance, and CP invariance, and there is no reason, from the point of view of symmetries, why it shouldn't be in the Lagrangian.
Of course, as vanesch said, these terms are all non-renormalizable which is why they were historically excluded, but in the spirit of effective field theory, non-renormalizability isn't such a big deal.
Such a term could actually be present and we wouldn't even know it unless we made it to sufficiently high energy or otherwise looked sufficiently closely.
www.physicsforums.com /showthread.php?threadid=104089   (2143 words)

  
 [No title]
Similar situations arise in the study of electron transport in solids in a semi-classical regime [Lorentz 1916, Sommerfeld 1956, Ben Abdolllah and Degon 1996, Ben Abdolllah {\it et al} 1996, Golse and Poupaud 1992].
The latter can be obtained explicitly in the so-called ``two-term'' approximation [Lorentz 1916, Margenau and Hartman 1948, Allis 1956, Carron 1991], in which one keeps only the first two terms in a spherical harmonic expansion of $\bar f({\bf v})$.
Starting with a two term $\epsilon$-expanded kinetic equation (slightly different than what is obtained from (3)) he observed, that after a scaling of space, time and electric field and neglecting the time variation of the first harmonic, one is led to an equation in which $\epsilon$ does not appear at all.
www.ma.utexas.edu /mp_arc/papers/98-308   (1165 words)

  
 s.html
The homogeneous terms are formed from the sum of both orders of the commutator and anticommutator.
The Lorentz force is generated similarly to the source term of the Maxwell equations, but there a small game required to get the signs correct for the 4-force.
The foundations of classical electrodynamics are the Maxwell equations, the Lorentz force, and the conservation laws.
world.std.com /~sweetser/quaternions/EandM/classicalem/classicalem.html   (433 words)

  
 FIDAP USER'S MANUAL: 8. VOLUMETRIC FORCES DATA COMMANDS   (Site not responding. Last check: 2007-10-11)
This chapter also describes the commands used to specify source terms for the various equations, for example, heat sources for the energy equation, mass sources for the species transport equations.
This is achieved by using the LORENTZ keyword in conjunction with JXB and VXB keywords.
If a constant or time-dependent source term is to be included in the energy, turbulent kinetic energy, turbulent dissipation or species transport equations, the CONSTANT keyword must be specified.
www.shef.ac.uk /mecheng/staff/xyl/fidap/help/fiprep/pr08.htm   (2667 words)

  
 [No title]
Electrodynamicists have continued to use Lorentz' little trick {9} to get rid of far more energy flow associated with the circuit than is retained by the Poynting extremely limited theory, and than is intercepted, caught and utilized by the circuit.
A. Lorentz, Vorlesungen über Theoretische Physik an der Universität Leiden, Vol.
Thereby Lorentz arbitrarily discarded all the nondiverged vast Heaviside energy transport component which does not strike the circuit at all, and is just wasted.
www.cyberspaceorbit.com /KentStea.htm   (2739 words)

  
 [No title]   (Site not responding. Last check: 2007-10-11)
The fact that Einstein asserted that the Lorentz transformation equations were the basis of the special theory, and these are, of course, purely mathematical, means that, in so far as the theory is considered to have any physical implications, these implications must be the result of the interpretation of mathematical expressions in physical terms.
The Lorentz transformations have proved not to be the necessary formulation of the principle of relativity, as Poincaré believed, since physical interpretations of them have contradicted the principle.
But the Lorentz transformation equations were first derived and used by Voigt in 1887 in connection with elasticity, and later, again by Lorentz in connection with the electron theory of matter, and do not depend on 'relativity' for their derivation.
homepage.ntlworld.com /academ/whatswrongwithrelativity.html   (4975 words)

  
 Introduction to Tensors   (Site not responding. Last check: 2007-10-11)
Summation Convention: If an index appears twice in a term, once as a superscript and once as a subscript, then summation is implied over the range that the indices are allowed to take on.
In special relativity the transformations from one set of Minkowski coordinates to another set of Minkowski coordinates are referred to as Lorentz transformations and are defined as follows: let S and S’ be two inertial frames of reference where S’ is moving relative to S in the +x direction.
When unqualified with homogeneous/inhomogeneous the term “Lorentz Transformation” is taken to be the homogeneous Lorentz Transformation.
www.geocities.com /physics_world/ma/intro_tensor.htm   (1500 words)

  
 Clock Behavior and the Search for an Underlying Mechanism for Relativistic Phenomena   (Site not responding. Last check: 2007-10-11)
The effect of the sun’s gravitational potential upon the clocks is to continually adjust the clock bias (needed to convert the Selleri transformation to the Lorentz transformation) such that the clock bias is modified to account for the changing direction of the earth’s velocity vector.
It is assumed that this Lorentz transformation will also describe the properties of the particle and its true rest system as seen from the laboratory system.
The Lorentz transformation achieves a slower running clock by actually increasing the clock rate but then more than counteracting that effect with a clock bias that is a function of position.
www.egtphysics.net /Mechanism/ClockRel.htm   (5733 words)

  
 Lie derivative
In his theory the electric and magnetic properties of matter are interpreted in terms of the motion of charged atomic particles.
Second, extra term to Lorentz force is very easy to test experimentally, because this extra term would change curvature of particle tracks in every cyclotron.
Neither is the Lorentz force equal to THE LIE DERIVATIVE acting on covariants (differential forms) ** The Lie derivative with respect to V acting on a covariant exterior 1-form A has two parts.
quantumfuture.net /quantum_future/lie.htm   (8445 words)

  
 Dynamics of Solar Magnetoconvection
This code was modified, as part of this project, to include magnetic field and Lorentz force terms as a part of the simulation.
The second term represents diffusion, and is a linear term in which eta is inversely proportional to the conductivity.
The effect of the Lorentz force is opposite to the direction of fluid motion, resisting forces that cause fluid to cross lines of magnetic force.
www.tc.cornell.edu /~slantz/SPUR/SPUR96/Cynthia/report.html   (3427 words)

  
 SoloHQ: Forum
, where the terms are for the permittivity and permeability of free space, respectively.
Since the waves describe light, this term is the speed of light, c (from celeritas, Latin for speed).
Solving Maxwell's Equations for any inertial frame of reference (zero or constant velocity), yields the same constant term c, implying that the speed of light is an absolute universal constant for all inertial observers.
rebirthofreason.com /Forum/Quotes/0592.shtml   (2794 words)

  
 APSC Minutes - 02/16/00
L. Wright reported that two significant changes were made in the Council's Operating Paper last year; one reduced the term of office from four years to three years; and the other is the way the make-up of the Council is determined.
When K. Lorentz's term expires in 2001, that vacancy will also not be replaced, unless changes take place in Student Affairs that increase the numbers in that sector.
In an effort to stagger the terms so half the terms do not expire in the same year, the committee is recommending staggered terms as follows: one person elected for a one-year term; one person elected for a two year term; and two people elected for three year terms.
www.siu.edu /~apstaff/feb00.html   (2414 words)

  
 Diary of Febdian » Blog Archive » Lorentz Transformation   (Site not responding. Last check: 2007-10-11)
Usualy, the spell to use it is Lorentz transformation.
= τ) in term of the time for a frame of reference from which the motion is observed (t).
This term is in the second term of Lorentz transformation equation of time:
diary.febdian.net /archives/2005/07/09/lorentz-transformation   (673 words)

  
 New Transformation Equations and the Electric Field Four-vector   (Site not responding. Last check: 2007-10-11)
where the brackets mean that the terms are summed over all possible permutations of the subscripts.
When two subscripts are repeated, there is an additional implied sum in that term.
The Lorentz homogeneous force equations say that a charged particle moving parallel to a magnetic field feels no magnetic force.
www.softcom.net /users/der555/add8.html   (107 words)

  
 OMB will soon release requests for e-gov initiatives
Norman Lorentz, chief technology officer for OMB, said the outcomes of almost all of the projects are understood, so the next step would be to release RFPs in the “near term.”
Lorentz yesterday was the keynote speaker at the Council for Excellence in Government’s e-government seminar in Washington.
Lorentz said the RFPs likely will go through the normal bid process, rather than OMB going to the General Services Administration’s Federal Supply Service schedule or another governmentwide contract.
www.gcn.com /online/vol1_no1/18324-1.html   (325 words)

  
 [No title]   (Site not responding. Last check: 2007-10-11)
We then considered the gradient term in the Lagrangian, and rewrote it as i\hbar \psibar \gamma^\mu \del_\mu \psi, where \gamma^\mu = (\beta, \beta \vec{\alpha}).
We then showed that the bilinear \psibar \gamma^\mu \psi transforms under Lorentz transformations as a spacetime 4-vector: that the Lorentz transformation matrices acting on \psi and \psibar in *spin* space induce an effective Lorentz transformation of the *spacetime* indices \mu of \gamma^\mu.
Thus the gradient term in the Lagrangian, i\hbar \psibar \gamma^\mu \del_\mu \psi, transforms as a Lorentz scalar, with \psibar \gamma^\mu \psi transforming in the opposite direction as \del_\mu in spacetime.
www.emory.edu /PHYSICS/Faculty/Benson/380-96/notes/28.txt   (265 words)

  
 Relativistic Variations on a Theme
w term becomes vanishingly small, the experimental evidence for the agreement of the traditional Lorentz Contraction theory with experiment will be quite good.
The Fifth Element, which includes a Force term proportional to the rate of change of acceleration, i.e.
If we assume the velocity term in the Lorentz Contraction is more accurately described by Equation 7 (in lieu of equation 6), the Lorentz Contraction becomes a Modified Lorentz Contraction, i.e.:
www.halexandria.org /dward140.htm   (1327 words)

  
 [No title]   (Site not responding. Last check: 2007-10-11)
Lorentz’s space transformation indicates the shortening of the moving bodies, since the radical  EMBED Equation.3  is situated in the denominator of the transformation — in the moving frame the marks on the space axis are located denser than in the immovable one.
Thus, in case of low velocities, Lorentz’s space transformation not only turns into Galileo’s transformation analytically without problems, but also it is well confirmed experimentally.
Conclusions A simple analysis and elementary numerical calculations showed that Lorentz’s transformation for the time coordinate does not correspond to Bohr’s principle, therefore, as a whole, SRT cannot be correct.
www.chavarga.iatp.org.ua /SRT-Bohr-22.doc   (1014 words)

  
 General Lorentz Ether Theory   (Site not responding. Last check: 2007-10-11)
A challenge for discussion: I claim that GLET should be preferred in comparison with GR according to usual scientific methodology.
General Lorentz ether theory (GLET) is a metric theory of gravity with a predefined Newtonian framework with preferred coordinates X
leads to a cosmological term which may be used to fit some of the "missing mass" in cosmology.
www.ilja-schmelzer.de /GET   (486 words)

  
 The Tom Bearden Website
Lorentz reasoned that, well, since this bothersome enormous energy flow component did not power anything, it "had no physical significance" (Lorentz's term).
We essentially measure by dissipation from the circuit, and all the energy that is dissipated from the circuit must first have entered the circuit, hence is the Poynting component.
Yet also, in the appalling lack of understanding of the engineers, every one of those systems deliberated self-enforces Lorentz symmetry in the system's vacuum interaction during the system's excitation energy discharge, by using the simple closed current loop circuit.
www.cheniere.org /correspondence/040201.htm   (2883 words)

  
 Informations from Tom Bearden - Dec 9th, 2000
Lorentz understood both components, but he also had not the foggiest notion of where on earth such an enormous energy flow could be coming from.
He reasoned that Heaviside's vast parallel component was "physically insignificant" (Lorentz's term) since it did not interact with the circuit and did not power anything, and therefore it could just be arbitrarily discarded from all accountability.
Hence the Lorentz closed surface integration procedure discards the enormous Heaviside nondiverged component.
jnaudin.free.fr /html/tbinfos.htm   (2044 words)

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