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Topic: Worldline

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Closed timelike curve

	World line - Wikipedia, the free encyclopedia
		Note that the orbit of the Earth is (almost) a circle in space, but its worldline is a helix in spacetime.
		Worldline, worldsheet, and world volume, as they are derived from particles, strings, and branes.
		So far a worldline (and the concept of tangent vectors) is defined in spacetime even without a definition of a metric.
	en.wikipedia.org /wiki/Worldline (2067 words)

	Station Information - Worldline
		Instructions on commensurate relations between worldlines or their members, and results of their evaluations, are collectively referred to as Physics.
		In special relativity and general relativity, a worldline is the set of spacetime events corresponding to a single particle or a negligibly small object.
		A worldline which is closed and timelike is called a closed timelike curve or CTC.
	www.stationinformation.com /encyclopedia/w/wo/worldline.html (132 words)

	Citebase - Worldline Supersymmetry and Dimensional Reduction (Site not responding. Last check: 2007-10-14)
		For any worldline reformulation of a quantum field theory for Dirac fermions, this paper shows that worldline supersymmetry may generally be enforced by the vanishing of the commutator of the Dirac operator with the worldline Hamiltonian.
		The action of supersymmetry on the worldline Lagrangian may not, however, be written in terms of the variations on the fields in the usual way, except when the spinning particle couples just to a one-form.
		By reduction from six to four dimensions of the worldline reformulation for a spinning particle coupled to a three-form, corrections to the superworldline Lagrangian are presented which are needed in order to reproduce correct field theory results from worldline perturbation theory in an unambiguous way.
	citebase.eprints.org /cgi-bin/citations?id=oai:arXiv.org:hep-th/9604149 (932 words)

	John Titor 12.2000
		On my worldline in 2011, the United States is in the middle of a civil war that has dramatic effects on most of the other Western governments.
		Worldline changes are not exponential; they act more like chaotic attractors with varying effect depending on their size and location.
		Even on this worldline, there is a great deal of evidence to support the fact that sea levels did change radically in isolated areas worldwide.
	www.zwickinc.com /titor/titor012.php (5300 words)

	John Titor
		Take heart, on some worldline, you have succeeded and all time travelers are dead by the hand of your followers and thinking or talking about it is a crime.
		The measurement for worldline divergence is an observation variable isolated to the distortion unit.
		In time travel talk, worldlines are used as a way to describe and separate the experiences of a time traveler because various laws of special relativity appear to breakdown and can't be defined on a single worldline.
	www.geocities.com /krell58/j2001.html (8825 words)

	John Titor 11.2000
		On my worldline, it is known that the 5100 series is capable of reading all the IBM code written before the widespread use of APL and Basic.
		My worldline is not unified under a single government but I would say it is closer to a unified purpose.
		I like the incredible freedom you have on this worldline but I see it as a trap and I fear the cost is the loss of your sense of connection with family and community.
	www.zwickinc.com /titor/titor011.php (7330 words)

	Twin Paradox (Site not responding. Last check: 2007-10-14)
		The worldline of a second observer shall be identical with the inclined t'-axis.
		That planet (the worldline of which is not shown in figure 7) is at rest relative to earth.
		The worldline of the spaceship has been chosen to be vertical; hence the worldline of planet earth is inclined (the wordline of the distant planet would be a parallel to the worldline of planet earth).
	members.aol.com /atrupp/1/paradox.htm (2026 words)

	Accelerating in Place
		The lapse of proper time along a worldline at a fixed radial positions near a gravitating body of mass m is lower than for worldines further from the body.
		If we consider two neighboring stationary worldlines, separated by an incremental radial distance dr, the lapse of proper time dt for a given incremental lapse of coordinate time dt is less for the inner worldline than for the outer worldline, as illustrated below.
		In order for a worldline at t = dt to be perpendicular to this locus, it must have the perpendicular slope, which is the same quantity converted from units of sec/meter to units of meter/sec.
	www.mathpages.com /home/kmath409/kmath409.htm (1021 words)

	Relativity Tutorial (Site not responding. Last check: 2007-10-14)
		Thus the straight worldline between two events has the largest proper time, and all other curved worldlines connecting the two events have smaller proper times.
		Each dot on a worldline is a birthday party, so the middle quint is 10 years old when they all rejoin each other, while the other quints are 6 and 8 years old.
		Thus the straight worldline between two events can be found by maximizing the proper time, just as the straight line between two points can be found by minimizing the length.
	www.astro.ucla.edu /~wright/relatvty.htm (3931 words)

	The Atos Origin Worldline Pay Internet Payment System Version 1.5 - available from November : Newsroom: Atos Origin
		The considerable functional scope of Worldline Pay IPS has been extensively expanded, integrating the credit card security standards of VISA and Eurocard/MasterCard to combat credit card fraud in the Internet ahead of the 2005 deadline, after which the standards will be compulsory.
		Worldline Pay IPS is the leading Internet payment system in Germany with 17 installations in the financial services sector.
		Worldline Pay solutions also span the worlds of electronic and mobile banking and e/m-commerce.
	www.atosorigin.com /corporate/newsroom/archive/pr2002/021105.htm (898 words)

	Principle of Least Action Interactive
		The worldline you have constructed satisfies the condition of least action for this special case of a worldline of four straight segments equally spaced along the time axis.
		Of course even a worldline consisting of many straight segments is not the same as a continuous worldline, made up of an infinite number of event-points.
		In brief, Feynman is saying that if the entire worldline has minimum action compared with possible nearby worldlines, then every small segment along the worldline must have minimum action compared to possible nearby segments.
	www.eftaylor.com /software/ActionApplets/LeastAction.html (1658 words)

	John Titor - Worldline 2036
		On some other worldline, I am an insane time traveler causing destruction and death while (name of forum member who confronts John on a regular basis) chases me with his band of devoted followers.
		Yes I am with the "me" on this worldline and he is three now.
		I believe we are judged on the decisions we make as individuals and the good/evil I see on my worldline is an illusion that has no worth to God.
	www.johntitor.com /Pages/2036.html (9067 words)

	Worldline - long distance is over - Press
		DISTANCE IRRELEVANT: John Stix, executive vice-president marketing, left, and Jody Schnar, president and chief executive of Waterloo-based Worldline Inc. Their company is offering unrestricted national long-distance telephone service for $3.95 a month and a one-time $10 activation fee.
		Worldline Inc. is using the Internet to deliver phone-to-phone service for less, while keeping voice quality high, said John Stix, executive vice-president marketing for Worldline.
		Worldline, however, uses voice over Internet protocol, or VoIP for short, to transmit the telephone signal from a customer's home to a Worldline office, which then transmits it over an Internet line.
	www.worldline.ca /london/press.htm (685 words)

	Atos Worldline - Atos Worldline integrated Payment Solutions (Site not responding. Last check: 2007-10-14)
		Atos Worldline payment solutions treats new functions, such as automatic restocking and recycling features in cash depositories, and instant screen listing of the nearest working ATM in the event of breakdown.
		Atos Worldline secure and responsive payment systems process 7 million transactions each day, for an amount of more than 300 million euros.
		Atos Worldline is a dominant force in the sector, making important inroads into the rest of Europe, Asia and the Middle East.
	multimedia.fr.atosorigin.com /UK/offerings/payment/worldlinepay.htm (234 words)

	The Light Cone: Galileo's Spacetime
		To that person, your worldline is slanted to the right since you are receding from him (from his view).
		On a spacetime diagram, the worldlines of the inertial observers are non-horizontal straight lines.
		What Galileo's Principle of Relativity does is that it establishes a sort-of democracy among all inertial observers in the sense that each inertial observer could view the world from the vantage point where he is at rest.
	www.phy.syr.edu /courses/modules/LIGHTCONE/galilean.html (1006 words)

	John Titor Archive: Interview with a time traveler (page 6 of 19) (Site not responding. Last check: 2007-10-14)
		This would mean they had traveled on a spacelike trip to their own worldline of origin.
		On some other worldline, I am an insane time traveler causing destruction and death while TTA chases me with his band of devoted followers.
		The multiple “yous” on each worldline record a different result for the activity of the event.
	www.abovetopsecret.com /pages/john_titor_archive_page6.html (2892 words)

	The Story of John Titor (Site not responding. Last check: 2007-10-14)
		The value of this document could well be the reader's recognition of the fact that armed resistance against the military and police forces of the United States government would be futile, since according to Titor the rurals will never win the conflict except by default after nuclear war with billions of casualties worldwide.
		John Titor himself stated that he allowed for the possibility we might NOT have a US civil war in our future, however he thought it was very probable there would be a civil war in the United States, and that it was unlikely we could do anything to stop it from developing.
		Titor said he felt there was a chance that we might not have his worldlineâs civil war future but he thought it was not probable we would avoid it.
	johntitor.strategicbrains.com /NationalSecurity.cfm (3071 words)

	Atos Worldline - Legal (Site not responding. Last check: 2007-10-14)
		Atos Worldline is providing these links to you only as a convenience, and the inclusion of any link to such sites does not imply endorsement by Atos Worldline of those sites.
		In the event that any portion of these Terms and Conditions is held to be unenforceable, the unenforceable portion shall be construed in accordance with applicable law as nearly as possible to reflect the original intentions of the parties and the remainder of the provisions shall remain in full force and effect.
		Atos Worldline's failure to insist upon or enforce strict performance of any provision of this Agreement shall not be construed as a waiver of any provision or right.
	www.mm.atos-group.com /legal.htm (616 words)

	Accelerated Travels
		Since the worldline of a particle with constant proper acceleration is a branch of a hyperbola with "radius" 1/a
		is the worldline of a particle moving along some arbitrary path and W
		To illustrate, suppose the object whose worldline is W
	www.mathpages.com /rr/s2-09/2-09.htm (1693 words)

	Worldline Pay CMS: card management for chip and multi-application cards : Newsroom: Atos Origin
		Using Worldline Pay CMS, card issuers can load various payment functions (credit, debit and prepaid), security applications (HBCI and digital signature), bonus functions and other supplementary functions onto their cards.
		Worldline Pay CMS has been realised on the Atos Origin eBusiness Platform, on which the Sparkasse Bremen has implemented its multi-channel strategy since 2000.
		Worldline Pay CMS is a further building block run on the Atos Origin eBusiness Platform and with the Worldline Pay products for HBCI, PIN/TAN banking, authorisation, card fraud prevention, eBilling (EBPP) and Internet Payment, it completes the comprehensive offer from Atos Origin for banks and card issuers.
	www.atosorigin.com /corporate/newsroom/archive/pr2002/021105b.htm (968 words)

	Atos Worldline - Press releases (Site not responding. Last check: 2007-10-14)
		Paris Frankfurt/Main – November 24, 2004 –– Atos Worldline, an Atos Origin company, is banking on continuity for its customer relations: the group confirms the extension of the acquiring processing service contract for B+S Card Service GmbH, one of the leading service providers of the German card world.
		Atos Worldline and Sun Microsystems have successfully demonstrated a throughput of a peak of up to 800 transactions per second processing and checking online card payments in an acquirer environment.
		Atos Worldline thus provides the means to guarantee substantial deployment of this service, which enables purchasers -companies and local authorities / governments – and suppliers to arrange non-strategic purchases in the best possible way.
	www.atosworldline.com /UK/about/newsroom/press_releases_2004.htm (1355 words)

	JOHN TITOR VALIDITY TEST BASED ON PREDICTION OF CIVIL WAR BY 2004-2005 (Site not responding. Last check: 2007-10-14)
		Titor's time machine operates it navigates through these alternate realities, and time travelers try to stay as close to possible to their original worldline, the success of their efforts being measured in percent divergence from their original worldline.
		In that case it will remain possible (though still not probable) to prevent nuclear war, but only if we are able to face the evidence and respond appropriately so that things can be turned around from their present course.
		Or let's say if divergence between worldlines delayed the predicted 2004-2005 civil war until 2006 or 2007 we would certainly have to question the accuracy of the 2015 date, and some might question if any of Mr.
	johntitor.strategicbrains.com /CopyrightProof.cfm (1524 words)

	Time [Internet Encyclopedia of Philosophy]
		Proper time along a worldline in 4-d spacetime is the time elapsed by an object having that worldline, as shown on an ideal clock having the same worldline.
		The discontinuous worldline in ordinary 4-d spacetime could actually be a continuous trajectory in 5-d spacetime.
		Sam's worldline will be composed of discontinuous segments.
	www.iep.utm.edu /t/time.htm (14948 words)

	Atos Worldline - Expertise: High Tech BPO leader in Europe (Site not responding. Last check: 2007-10-14)
		In BPO mode, the Atos Worldline range of services offers a number of possibilities: either long-term outsourcing of a global process or temporary outsourcing of various modules at the same time as developing a sustainable internal solution.
		In this way all the business processes can be covered by Atos Worldline in solution integration mode (Build), in outsourcing mode (Build to Run) or by using the full range of Atos Worldline BPO services.
		Atos Worldline ensures goals can be achieved either internally or through BPO services or by combining both.
	www.atosworldline.com /UK/expertise/index.htm (291 words)

	Atos Origin: Press Releases: Atos Worldline takes over Commerzbank's credit card processing
		Since 1998, Atos Worldline’s Processing activity in Germany has been processing the World of TUI Visa cards for Commerzbank and, besides technical processing, has also been providing card holder services.
		The range of services offered by Atos Worldline and the attractive conditions were decisive factors in the extension of the business relations.
		Atos Worldline is an Atos Origin company : a leading European provider in IT-related Business Process Outsourcing, dedicated to services and solutions covering the whole process of payment and information flows.
	www.atosorigin.com /corporate/newsroom/pr2004/20040511.htm (504 words)

	Extension of worldline computational algorithms for QCD to open fermionic contours (Site not responding. Last check: 2007-10-14)
		The worldline casting of a gauge field system with spin-1/2 matter fields has provided a, particle-based, first quantization formalism in the framework of which the Bern-Kosower algorithms for efficient computations in QCD acquire a simple interpretation.
		This paper extends the scope of applicability of the worldline scheme so as to include open fermionic paths.
		It is also demonstrated that in this framework the sole agent of dynamics operating in the system is the Wilson line (loop) operator, which makes a natural entrance in the worldline action; everything else is associated with geometrical properties of particle propagation, of which the most important component is Polyakov's spin factor.
	ej.iop.org /EJ/abstract/1126-6708/1999/11/033 (337 words)

	Not Even Wrong: Provocative Comments From Veltman (Site not responding. Last check: 2007-10-14)
		But since worldline supersymmetry does exist (since it is so trivial) the concept of supersymmetry seems very natural from some point of view.
		N is a Lagrange parameter, the lapse function on the worldline, i.e.
		As you indicate by your reaction, and as was not disputed by anyone, this worldline susy is rather trivial and hardly a hint for anything.
	www.math.columbia.edu /~woit/blog/archives/000106.html (5259 words)

	hoaxes: Tackling John Titor, Time Traveller
		Each one of these universes is a 'worldline' and the time machine allows you to return to the past by jumping 'worldlines' into one where you were in a time machine and arrived at that time.
		And yes it is about 6 worldlines because even he managed to touch back the original forking path point, he will cause another forking to occur.
		Only in minimizing the deviation small enough, would he be sure that the worldline he returns to would be the one where "him" did leave.
	www.livejournal.com /community/hoaxes/90359.html (6037 words)

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