
	Where results make sense

Topic: CPT theorem

Related Topics

Richard Bently

Antimatter

Hugh LeCaine

Widescreen

Hideyoshi

Spoken

Athena

Timeline of quantum mechanics, molecular physics, atomic physics, nuclear physics, and particle physics

Digital pet

Hugh Harman

Prahran

Castle Hill Railway

Mark White

Empuries

Thorofon

In the News (Thu 26 Nov 09)

Northern Trust

Marvin Harrison

Peter Chernin

Gary Locke

Match Play

Penelope Cruz

Mickey Rourke

AR Rahman

Danny Boyle

Hugh Jackman

	SMI - Testing Matter/Antimatter Symmetry with Antiprotons
		The CPT theorem, which states that under certain mathematical conditions a field theory is invariant under the combined transformations of C (charge conjugation), P (space inversion), and T (time reversal), has the consequence that all properties of particles and antiparticles like mass and the absolute values of the charge and magnetic moment must be equal.
		CPT is conserved in all field theories used so far in the description of nature, but e.g.
		The high-precision comparison of particle and antiparticle properties as a test of CPT is being pursued for many types of particles.
	www.oeaw.ac.at /smi/download/Vortrag_Widmann_20050620.htm (259 words)

	CPT Theorem
		The CPT Theorem states that the combined operation of time reversal, charge conjugation, and space reversal in any order is an exact symmetry of any interaction and that under the three transformations all physical laws must be invariant.
		The CPT Theorem is rigorously mathematical, and its validity is based on the assumption that the physical laws of the universe may be mathematically described.
		As was previously stated, in order for the CPT Theorem to hold, a violation in one of the parameters must accompanied by a compensating violation of another parameter.
	sist.fnal.gov /archive/96-topics/papers/Halton_Peters/Halton_Peters,_KTeV.htm (2379 words)

	Alan Kostelecky: Background information on Lorentz/CPT violation (Site not responding. Last check: 2007-10-12)
		The existence of high-precision experimental tests together with the general proof of the CPT theorem for Lorentz-symmetric theories implies that the observation of Lorentz or CPT violation would be a sensitive signal for unconventional physics.
		The theory suggests that apparent breaking of CPT and Lorentz symmetry might be observable in existing or feasible experiments, and it leads to a general phenomenology for CPT and Lorentz violation at the level of the Standard Model of particle physics and Einstein's theory of gravity, General Relativity.
		The CPT theorem is bypassed because Lorentz symmetry is broken.
	www.physics.indiana.edu /~kostelec/faq.html (2448 words)

	Twelf User's Guide - 10 Theorem Prover
		A theorem in Twelf is, properly speaking, a meta-theorem: it expresses a property of objects constructed over a fixed LF signature.
		Theorems are stated in the meta-logic M2 whose quantifiers range over LF objects.
		The theorem proving component of Twelf is in an experimental stage and currently under active development.
	www.cs.cmu.edu /afs/cs.cmu.edu/Web/People/twelf/guide-1-4/twelf_10.html (1404 words)

	CERN Courier - Space-time symmetry is put t - IOP Publishing - article
		CPT '01 was opened by distinguished physicist Yoichiro Nambu of Chicago, US, who gave a historical perspective on the topic of CPT symmetry in physics.
		For CPT symmetry to be broken in any theory, one of the preconditions of the CPT theorem must be removed.
		Since the first meeting on Lorentz and CPT symmetry in 1998, when only a handful of experimental bounds were known, a steady stream of new limits on CPT and Lorentz symmetry has been flowing.
	www.cerncourier.com /main/article/42/3/18 (1747 words)

	APS Virtual Pressroom - April Meeting Lay Language Papers
		The CPT theorem basically states that if all three transformations are applied to a physical system, the equations describing the transformed system are unchanged.
		For example, in a permanent magnet the forces between the atoms in the magnet are independent of spatial direction (rotational symmetry), but the north and south poles of the magnet itself are aligned along a particular direction (spontaneously broken rotational symmetry).
		If CPT and Lorentz symmetry undergo a similar process, then observable violations of these symmetries may exist in nature even though the fundamental laws of physics have CPT and Lorentz symmetry.
	flux.aps.org /meetings/YR00/APR00/vpr/layq21-04.html (1260 words)

	Why Antihydrogen
		Essential to the quantum field theory governing interactions of fundamental particles is the so-called CPT theorem, which involves discrete symmetries.
		The CPT theorem requires that the laws of physics be invariant under the following operation: all particles are replaced by their antiparticle counterparts (Charge conjugation), all spatial coordinates are reflected about the origin (Parity), and the flow of time is reversed (Time reversal).
		The CPT theorem requires that hydrogen and antihydrogen have the same spectrum.
	athena-positrons.web.cern.ch /ATHENA-positrons/wwwathena/hbar.html (608 words)

	Probing the antiworld (October 2005) - Physics World - PhysicsWeb
		When the CPT transformation is applied to a physical system, three things happen: every particle is converted to its antiparticle; each spatial co-ordinate is reflected so that left becomes right, up becomes down and forward becomes backward; and time is reversed.
		According to the CPT theorem, which lies at the heart of the Standard Model of particle physics, the universe is perfectly symmetric under this combined transformation, although certain combinations of C, P and T can be violated individually (see The CPT Theorem).
		If CPT symmetry is violated, it could show up as a slight difference in the frequency of certain electronic or "positronic" transitions in hydrogen and antihydrogen atoms.
	physicsweb.org /articles/world/18/10/4 (4066 words)

	Seminar on CP and CPT Violation (Site not responding. Last check: 2007-10-12)
		When, some years later, the combined symmetry of CP was shown to be broken, then we knew that even matter and antimatter were fundamentally different.
		Still, sound theoretical arguments "proved" the CPT theorem, which says that combining time reversal with CP was a good symmetry.
		Now however, even CPT is under attack by proponents of "superstrings".I will discuss these symmetries and some of the experimental history.
	www.rpi.edu /~napolj/Talks/Seminars/CP_CPT/announcement.html (156 words)

	Robert T. Bluhm
		CPT is a combined discrete symmetry which basically says that particles and antiparticles obey the same laws of physics.
		These symmetries are linked by a famous theorem -- the CPT theorem -- which states that Lorentz-invariant theories describing local particle interactions are also CPT invariant.
		It has recently been realized that in possible quantum theories of gravity (including string theory and loop quantum gravity) Lorentz and CPT symmetry might be broken on ultra-short length scales called the Planck scale.
	www.colby.edu /physics/faculty/robert.html (373 words)

	Sub Space
		CPT invariance doesn't depend on causality, it is just algebraic symmetry in 3 variables.
		It is in fact the small violation of CPT that gives rise to one of the few cleanly definable and measurable "arrows of time" in physics.
		Although testing time-reversal invariance directly to a high degree of accuracy for the weak interaction is difficult, a sensitive indirect test is available by using the so-called CPT Theorem.
	c2.com /cgi/wiki?SubSpace (2018 words)

	Spin, Statistics, CPT and All That Jazz
		The usual proof of the spin-statistics theorem is based on axioms for quantum field theory.
		This is a kind of topological "proof" that interchange of two identical particles and a 360 degree rotation of one must have the same effect on the phase.
		Because the CPT theorem is an almost-consequence of Lorentz invariance.
	math.ucr.edu /home/baez/spin_stat.html (2156 words)

	What's the Antimatter?
		The CPT theorem is what assumed you could not tell the difference between matter and antimatter.
		With research concretely proving the charge and parity portions of the CPT theorem false, we have issues to sort out.
		This theorem is a fundamental basis in physics.
	www.cem.msu.edu /~cem181fp/antimatter/antimatter.html (796 words)

	Alan Kostelecky: Animations for Breaking Spacetime Symmetries (Site not responding. Last check: 2007-10-12)
		The effect of Lorentz and CPT violation on an atomic clock placed in orbit is illustrated in the second animation.
		The CPT theorem implies that in a given magnetic field the rate of spin precession is of the same magnitude (but opposite direction) for a particle and its antiparticle.
		The CPT theorem implies that the double tower of levels for the electron is identical to that of its antiparticle, the positron, except that the spin orientations are reversed.
	www.physics.indiana.edu /~kostelec/mov.html (2200 words)

	Experiment sees the arrow of time - at last! (December 1998) - Physics World - PhysicsWeb
		Therefore, assuming that CPT symmetry is always preserved, any violation of time-reversal symmetry should always be accompanied by a violation of CP symmetry and vice versa.
		Indeed, in highly curved space-times the CPT theorem is known to fail, at least in its original formulation.
		And many tests of T, CP and CPT violation will be possible at the NA48 experiment at CERN, at "B-factories" at the Stanford Linear Accelerator Center in the US and the KEK Laboratory in Japan, and ultimately at the Large Hadron Collider at CERN.
	physicsweb.org /article/world/11/12/3/1 (1428 words)

	Robert T. Bluhm
		The CPT theorem is a powerful result holding for local relativistic quantum field theories of point particles in flat spacetime.
		The combination of the theoretical proof of CPT invariance and high-precision tests in experiments has triggered investigations of possible CPT violation as a candidate signature for new physics beyond the standard model, such as string theory.
		Robert has been using a new theoretical framework that describes possible CPT violating effects in the context of quantum electrodynamics to examine experiments on that test CPT.
	www.colby.edu /physics/faculty/robert2.html (361 words)

	[No title] (Site not responding. Last check: 2007-10-12)
		After trawling the oceans of data produced at the Fermi National Accelerator Laboratory (Fermilab) in 1996-97, a team of University of Virginia physicists have found new evidence of a violation of the symmetry of interactions under reversal of the direction of time.
		A general theorem of physics known as the CPT theorem posits that in any reaction the simultaneous operation of changing particles to antiparticles (C), mirroring the coordinate system (P) results in a modified reaction that reverses the direction of time (T), which should run at the same rate as the original reaction.
		If the application of any two of the three operations does not result in a reaction that runs at the same rate, then the third operation must compensate in just the right amount so that overall the CPT theorem is preserved.
	www.virginia.edu /topnews/textonlyarchive/December_1998/Asymmetry.txt (638 words)

	A matter of symmetry (Site not responding. Last check: 2007-10-12)
		It is called the CPT theory, where each of C, P, and T are symmetries of particle interactions.
		Scientists still believe that CPT is conserved, or put another way, that an antiparticle is indistinguishable from the mirror-image of a particle moving backwards in time.
		Bizarre though it may seem, this is one of the most fundamental tenets of modern physics.
	lhcb-public.web.cern.ch /lhcb-public/html/symmetry.htm (465 words)

	A Test of Local Lorentz Invariance
		The CPT limit obtained from this experiment is compared with the limits established from other experiments.
		Colladay and Kostelecky have developed a gauge invariant extension of the standard model that conveniently classifies the terms that violate LLI and CPT.{co} Several of these terms produce dipolar frequency shifts of the electron and neutron that depend on the orientation of their spin with respect to the fixed stars.
		Given the fundamental importance of these symmetries, it would appear to be a good investment of ones time and resources to push these experiments to their limits.
	www.amherst.edu /~physics/pages/hunter/LLI.html (2379 words)

	CERN Courier - Weighing the antiproton - IOP Publishing - article
		The CPT theorem - which says that all observed phenomena will remain unchanged if we replace particles by antiparticles, invert their motions, and reflect everything in a mirror - is based on falsifiable assumptions.
		In a universe as old and as big as the one we see, there is time and space enough for even minute deviations from perfect CPT symmetry to become observable, perhaps even to predominate.
		Even worse, the CPT theorem itself rests, as T D Lee notes, "on a foundation which has to be unsound, at least at the Planck length (10
	www.cerncourier.com /main/article/41/8/20 (1577 words)

	2.3 The role of other symmetries
		Lorentz symmetry is intimately tied up with CPT symmetry in that the assumption of Lorentz invariance is required for the CPT theorem [162].
		Lorentz violation therefore allows for (but does not require) CPT violation, even if the other properties of standard quantum field theory are assumed.
		In effective field theory CPT invariance can explicitly be imposed to forbid a number of strongly constrained operators.
	www.univie.ac.at /EMIS/journals/LRG/Articles/lrr-2005-5/articlesu3.html (513 words)

	Re: CPT theorem
		Because CPT guarantees equal masses for > baryons and antibaryons, chemical equilibrium would drive the necessary > reactions to correct for any developing asymmetry.
		Now, if you have some CPT violation (which is however severely constrained by experimental data) then you don't necessarily need an out-of-equilibrium condition, since particle and antiparticle masses may be different.
		Note that it is very difficult to make such a model theoretically consistent and fit with current data.
	www.lns.cornell.edu /spr/2004-07/msg0062241.html (503 words)

	Antihydrogen at the MPQ project
		Examples are the anti electron called the positron (positive electron) and the antiproton (negative proton) which together form the antihydrogen atom.
		This means that we can test the fundamental CPT theorem by comparing very precisely the properties of hydrogen and antihydrogen.
		The general feeling among physicist based on CPT and Einstein's equivalence principle is that there are probably no differences.
	www.mpq.mpg.de /~haensch/antihydrogen/introduction.html (975 words)

	Testing discrete symmetries in K decays
		There is an important theorem, known as the CPT theorem, which states that, under very general assumptions, any theory of microscopic interactions must respect the CPT symmetry.
		As a consequence, CP symmetry implies T symmetry, and vice-versa, because any CP violation should be compensated by some T violation to follow the CPT theorem.
		This is the most precise test of the CPT symmetry, which implies that particles and antiparticles should have the same mass.
	www.europhysicsnews.com /full/03/article1/debu.html (2908 words)

	On the way to experimental test of the time reversal invariance in the nuclear reactions Journal of Research of the ... (Site not responding. Last check: 2007-10-12)
		Time (T) violation can be related with charge-parity (CP) violation through the CPT theorem.
		However, an extension of the theory beyond the locality of the interactions might violate the CPT theorem.
		The result of the CPLEAR experiment [1], which has given direct evidence of T violation in the elementary-particle phenomena, could be considered under assumption of the CPT invariance.
	www.findarticles.com /p/articles/mi_m0IKZ/is_4_110/ai_n15864388 (907 words)

	CPT theorem (Site not responding. Last check: 2007-10-12)
		Even though in general there is no exact symmetry with respect to these operators, the CPT theorem says that every quantum field theory, relativistically covariant, that admits a minimum energy state and obeys the principle of microcausality
		The demonstration of this theorem can be found in Pauli [10], Dyson [5], Streater and Wightman [11], Jost [7], Itzikson and Zuber [6] and Weinberg [12].
		This priciple requires that independent measures can always be done on two spacetime points which are outside each other's light cone.
	ams.bo.infn.it /~casadei/antim/node4.html (294 words)

	[No title]
		Alan Kostelecky has developed an extension of the Standard Model that has spontaneous CPT and partial Lorentz-symmetry (boost and rotation) breaking.
		This model has particular relevance for String Theories where the assumptions (locality) needed to prove the CPT theorem are invalid.
		The study of antihydrogen as a CPT test is fundamental elementary particle physics-symmetries, properties of antimatter.
	www.ps.uci.edu /~markm/antihydrogen/proposal/pac_may16.txt (2381 words)

Try your search on: Qwika (all wikis)