101. [astro-ph/9906333] Numerical Hydrodynamics In Special Relativity This review is concerned with a discussion of numerical methods for the solution of the equations of special relativistic hydrodynamics http://arxiv.org/abs/astro-ph/9906333

Astrophysics, abstract astro-ph/9906333 From: Ewald Mueller [ view email ] Date: Mon, 21 Jun 1999 14:46:10 GMT (473kb) Numerical hydrodynamics in special relativity Author: Jose M. Marti Ewald Mueller (2) ((1) Departamento de Astronomia y Astrofisica, Universidad de Valencia, Spain (2) MPI fuer Astrophysik, Garching, Germany) Comments: submitted to the electronic journal Living Reviews in Relativity, at this http URL 72 pages, 14 postscript figures included Journal-ref: Living Rev.Rel. 2 (1999) 3 This review is concerned with a discussion of numerical methods for the solution of the equations of special relativistic hydrodynamics (SRHD). Particular emphasis is put on a comprehensive review of the application of high-resolution shock-capturing methods in SRHD. Results obtained with different numerical SRHD methods are compared, and two astrophysical applications of SRHD flows are discussed. An evaluation of the various numerical methods is given and future developments are analyzed. Full-text: PostScript PDF , or Other formats References and citations for this submission: SLAC-SPIRES HEP (refers to , cited

102. Lecture 32: Special Relativity Lecture 32 A Tale of Two World Views special relativity. What about Gravity? special relativity is restricted to uniformly moving (unaccelerated) observers. http://www-astronomy.mps.ohio-state.edu/~pogge/Ast162/Unit5/sr.html

Astronomy 162: Prof. Richard Pogge, MTWThF 11:00 Lecture 32: A Tale of Two World Views: Special Relativity "Common sense is the collection of prejudices acquired by age eighteen." Albert Einstein (1952) "It will seem difficult at first, but everything is difficult at first." Miyamoto Musashi [ Book of Five Rings Readings: Chapter 24, section 24-1 Key Ideas: Central Postulates The laws of physics are the same for all uniformly moving observers. The speed of light is the same for all observers. Consequences Different observers measure different times, lengths, and masses. Only spacetime is observer independent. Newton's Universe In Newton's view: The universe keeps absolute time. Objects move through absolute space. Universe looks the same to all observers, regardless of how they move through it. The result was a set of laws formulated from the perspective of an absolute "God's Eye View" of the Universe. Einstein's Challenge : Albert Einstein challenged Newton: We cannot take a "God's eye view" of the Universe. We can only compare our view with that of other observers.

103. Reflections On Relativity Comprehensive presentation of the special and general theories of relativity. http://www.mathpages.com/rr/rrtoc.htm

Reflections on Relativity Contents Preface 1. First Principles Experience and Spacetime Systems of Reference Inertia and Relativity The Dilemma of Light ... Null Coordinates 2. A Complex of Phenomena The Spacetime Interval Force Laws and Maxwell's Equations The Inertia of Energy Doppler Shift for Sound and Light ... Thomas Precession 3. Several Valuable Suggestions Postulates and Principles Natural and Violent Motions De Mora Luminis Stationary Paths ... Constructing the Principles 4. Weighty Arguments Immovable Spacetime Inertial and Gravitational Separations Free-Fall Equations Force, Curvature, and Uncertainty ... The Breakdown of Simultaneity 5. Extending the Principle Absorbing Acceleration Tensors, Contravariant and Covariant Curvature, Intrinsic and Extrinsic Relatively Straight ... The Field Equations 6. Ist Das Wirklich So? An Exact Solution Anomalous Precession Bending Light Radial Paths in a Spherically Symmetrical Field ... Sources in Motion 7. Cosmology Is the Universe Closed? The Formation and Growth of Black Holes Falling Into and Hovering Near A Black Hole Curled-Up Dimensions ... Global Interpretations of Local Experience 8. The Secret Confidence of Nature Kepler, Napier, and the Third Law

104. The Theory Of Special Relativity A simple criticism of the theory of special relativity. Bruce Harvey s Alternative Physics site. special relativity. Still controversial. http://users.powernet.co.uk/bearsoft/SpRel.html

Bruce Harvey 's Alternative Physics site Special Relativity Still controversial Nearly a hundred years after its conception, Einstein's theory of special relativity is still surrounded by controversy and disbelief among those outside the physics fraternity. The reasons for this are many. Not least is the poor way in which the theory is taught and expounded. The news group sci.physics.relativity abounds with arguments, which centre around the use of certain equations and the results obtained from them, missing the real issues. Such arguments will never come to a successful outcome and future generations of protagonists and advocates will still be repeating the same old dogmas, half truths and misconceptions for decades to come. Historical note When Einstein published his first paper on relativity in 1905, it contained very little new material. The equations which we associate with relativity had all been previously derived by Lorentz on the assumption that there exists a background, called the aether, through which light travels at a constant speed. Lorentz was concerned with the fact that in spite of the movement of the earth through this background, the laws of physics remained constant. The equations he developed, known as the Lorentz transforms, showed how physical processes taking place in the aether resulted in the same laws of physics applying in the laboratory in spite of its possible motion through the aether. Poincare showed that any two observers each moving with their own distinct velocity through the aether and making their own observations would be able to relate them using Lorentz transforms.

105. Concept Of Space And Time In Special Relativity This java applet invites you to the world of space and time in special relativity. http://webphysics.davidson.edu/Applets/TaiwanUniv/relativity/relativity.html

Space and Time in Special Relativity The special theory of relativity is the result of two postulates: The laws of physics are the same in all inertial reference frames. Extention from the Newtonian principle of relativity: the laws of mechanics are the same for all observers in uniform motion. The speed of light in empty space is the same for all inertial frames. The speed of an object depends on the reference frame, however the speed of light in space is the same. From the above two postulates, our understanding of space and time has to be modified. This java applet invites you to the world of space and time in special relativity. There are two devices that utilize photons to measure time differences (some kind of clock). A mirror will reflect the photon when it reaches the top or bottom of the device. First, press Start button to begin the animation. Both devices are synchronized. Two Light pulses emitted from the ends (yellow rings) reach the center of the device at the same time. There is no relative motion between the two devices. Now, change the relative velocity from the selections (

106. Lecture Notes On General Relativity Lecture notes for a onesemester course in General relativity. http://pancake.uchicago.edu/~carroll/notes/

Lecture Notes on General Relativity Sean M. Carroll (gravitational waves disturbing a black hole, from NCSA This set of lecture notes on general relativity has been expanded into a textbook, Spacetime and Geometry: An Introduction to General Relativity , available for purchase online or at finer bookstores everywhere. About 50% of the book is completely new; I've also polished and improved many of the explanations, and made the organization more flexible and user-friendly. The notes as they are will always be here for free. These lecture notes are a lightly edited version of the ones I handed out while teaching Physics 8.962, the graduate course in General Relativity at MIT , during Spring 1996. Each of the chapters is available here as uncompressed postscript, but see next paragraph. (Need a postscript previewer ?) Constructive comments and general flattery may be sent to me via the address below. Dates refer to the last nontrivial modification of the corresponding file (fixing typos doesn't count). The notes as a whole are available as gr-qc/9712019 Other formats: if you don't like postscript, the notes are

107. General Relativity Simulation Contest The purpose of this Contest is to prove General relativity using a (simple) algorithm. http://users.pandora.be/nicvroom/contest.htm

General Relativity Simulation Contest Description of Contest The purpose of this Contest is to prove General Relativity. The Contest consist of the following task: Write one general purpose program (any programming language will do) which simulates the movement of n objects over a certain period of time. The simulation method used (algorithms), should be based on the Rules of General Relativity. The program should be able to simulate and demonstrate the following examples: Forward movement (perihelion shift) of the planet Mercury (43 arc sec angle) around the Sun. The bending of light around the Sun (1.75 sec). The movement of a binary star system. The stars should spiral together. A clock in a space ship around the Earth. Twin paradox (SR). i.e. at least two clocks should be included. The behaviour of black holes. The results of the simulation should match actual observations. For the rules of General Relativity see the following: General Relativity with John Baez For the most elaborate list of links for General Relativity see: Relativity on the World Wide Web by Chris Hillman , maintained by John Baez For a technical discussion about the problems with numerical simulations regarding General Relativity see: Numerical Relativity If you want more about celestial mechanics simulations informal newsletter

108. Theory Of Universal Relativity - Shrinking Theory Shrinking Theory of the universe and Consequences of the relativity of the speed of light, speed, distance, size, mass, and time. http://www.crownedanarchist.com/Shrinking.htm

The C rowned Anarchist Sci-Fi Helper Universal ... The Crowned Anarchist Literature Sci-Fi Helper Star Trek and Science Photos Forum ... Relativité Universelle I lost my mind the second I was born! - RMT THE SH RIN KI N G T HEORY THE UNIVERSAL THEORY OF RELATIVITY (Universal Relativity) By Roland Michel Tremblay Maintenant en Français! The Relative Universe (Science Fiction novel based on these theories) SCI-FI HELPER - Inspiration for Sci-fi Writers and Scientific Advisers Note: If you are new to the concepts of relativity, super strings and quantum mechanics, please bear in mind that these are my own theories, they do not reflect what is said today in science. This is a work in progress, some points are wrong. Only with your comments and questions can I develop this further: rm@crownedanarchist.com . My Shrinking Theory is practically stated in the book The Elegant Universe by Brian Greene, page 249 (Two Interrelated Notions of Distance in String Theory). Note that none of my ideas need String Theories, I do not talk about many different dimensions or strings. The most important part to be read on this page is called (Consequences of the Shrinking Theory and the Universal Relativity) and it comes after the following 8 points and the three images that follow.

109. Relativity Tutorial relativity Tutorial The University of California Los Angeles Division of Astronomy and Astrophysics professor Edward Wright maintains the relativity Tutorial Web site. The site explains the http://rdre1.inktomi.com/click?u=http://www.astro.ucla.edu/~wright/relatvty.htm&

110. Numerical Relativity Exhibitions These are WWW exhibits based on the NCSA relativity Group's work and on General relativity. Exhibits about calculations, computers, virtual reality, and the history of science. http://jean-luc.ncsa.uiuc.edu/Exhibits/

Numerical Relativity Exhibitions These are WWW exhibits based on the NCSA Relativity Group's work and on General Relativity. Here you will find exhibits about calculations, computers, virtual reality, the history of science, and much more. Spacetime Wrinkles an extensive exhibit on Einstein and numerical relativity. Schwarzschild Worm Hole An embedding diagram of a single black hole obtained from a numerical solution of the Einstein equations that describe the behavior of the gravitational field. Visualizing Black Hole Spacetimes Stills from a movie of a distorted black hole evolution. Interaction of a Gravitational Wave with a Black Hole A simulation of the interaction of a gravitational wave and a black hole. Model of an Expanding (Closed) Universe This is a visualization of a 2-dimensional model of the 3-dimensional universe. NCSA Relativity Group Exhibits Page / jean-luc@aei-potsdam.mpg.de June 2001

111. [gr-qc/9911051] Complex Geometry Of Nature And General Relativity A paper by Giampiero Esposito attempting to give a selfcontained introduction to holomorphic ideas in general relativity. The main topics are complex manifolds, spinor and twistor methods, heaven spaces. http://arxiv.org/abs/gr-qc/9911051

General Relativity and Quantum Cosmology, abstract gr-qc/9911051 From: [ view email ] Date: Mon, 15 Nov 1999 11:06:50 GMT (124kb) Complex Geometry of Nature and General Relativity Author: Giampiero Esposito Comments: 229 pages, plain Tex Report-no: DSF preprint 99/38 An attempt is made of giving a self-contained introduction to holomorphic ideas in general relativity, following work over the last thirty years by several authors. The main topics are complex manifolds, spinor and twistor methods, heaven spaces. Full-text: PostScript PDF , or Other formats References and citations for this submission: SLAC-SPIRES HEP (refers to , cited by , arXiv reformatted); CiteBase (autonomous citation navigation and analysis) Which authors of this paper are endorsers? Links to: arXiv gr-qc find abs

112. Relativity On The World Wide Web relativity on the World Wide Web This site provides a collection of links to "equationfree" explanations of Einstein's theory by expert relativists. Resources linked to include popular http://rdre1.inktomi.com/click?u=http://math.ucr.edu/home/baez/relativity.html&a

113. Notes_www A set of notes tracing the historical development of cosmology in a qualitative way. http://phyun5.ucr.edu/~wudka/Physics7/Notes_www/notes_www.html

Two versions are provided: PDF format (best for downloading and printing) Web-page version (best for browsing) click on the corresponding icon for a link PDF version Web version

114. Scale Relativity Fractal relativity. Spacetime is nondifferentiable. http://www.daec.obspm.fr/users/nottale/ukmenure.htm

115. Lanczos Collection Site announces the availability of the Cornelius Lanczos Collected Published Papers with commentaries. Lanczos (18931974) was one of the twentieth century's most versatile and innovative physicists and mathematicians. His papers cover an array of disciplines including general relativity, quantum mechanics, scientific computation, applied mathematics and numerical analysis. http://www.physics.ncsu.edu/lanczos

Announcing the CORNELIUS LANCZOS COLLECTED PUBLISHED PAPERS WITH COMMENTARIES Published by North Carolina State University College of Physical and Mathematical Sciences and Department of Physics Raleigh, North Carolina 27695-8202 USA [1998] Library of Congress Catalog Card Number: 98-67928 ISBN (for the Collection of Volumes I-VI): 0-929493-01-X [See Web: www.physics.ncsu.edu/lanczos (View the Order Form Ordering Instructions Collection 24 September 2002) (All orders are now being shipped from Raleigh, North Carolina) Cornelius Lanczos (1893-1974) was a physicist and mathematician who had a profound impact on the foundations of twentieth century science. His papers cover a vast array of disciplines, including general relativity, quantum mechanics, scientific computation, applied mathematics and numerical analysis. This Collection provides documentation (a) that Lanczos was indeed one of the twentieth century's most versatile and innovative scientific minds, and (b) that many of Lanczos's ideas are still of interest to present-day research in physics and applied mathematics. This Collection will be of special interest to theoretical physicists, numerical analysts and science historians. The Cornelius Lanczos Collected Published Papers with Commentaries (Lanczos Collection or CLCPPC herein-after referred to as the Collection) represents the second phase of a two-part celebration of the life and work of Cornelius Lanczos. The first phase of this celebration occurred in December 1993 when North Carolina State University's College of Physical and Mathematical Sciences hosted the Cornelius Lanczos International Centenary Conference. [See the

116. Linguistic Relativity Resource Center Collected quotes from critics of the SapirWhorf hypothesis. Includes an outline of the argument for students and offers full citations. http://www.baylor.edu/~Erin_Greenawalt/relativity.html

117. GEOMETRY AND PHYSICS OF BRANES The SIGRAV Graduate School in Contemporary relativity and Gravitational Physics is held annually at the Centre for Scientific Culture Alessandro Volta , Villa Olmo, Como. It is primarily addressed to PhD students and young researchers in Physics and Mathematics who are interested in general relativity, astrophysics, experimental gravity and the quantum theories of gravitation. http://www.sissa.it/~bruzzo/sagp2001/sagp2001.html

4th SIGRAV GRADUATE SCHOOL ON CONTEMPORARY RELATIVITY AND GRAVITATIONAL PHYSICS and 2001 SCHOOL ON ALGEBRAIC GEOMETRY AND PHYSICS (SAGP2001) VILLA OLMO (COMO), 7-11 MAY 2001 GEOMETRY AND PHYSICS OF BRANES Supported by: SIGRAV (Italian Society for Gravitational Physics), National Research Project "Singularities, Integrability, Symmetries", SISSA (Trieste), University of Insubria (Como-Varese), Departmente of Chemistry, Physics and Mathematics of the University of Insubria at Como, Physics Department of the University of Milan, Physics Department of the University of Turin, Physics Department of the University of Rome "La Sapienza", Physics Department of the University of Rome "Tor Vergata", Physics Department of the University of Pavia. Download the first circular (Latex file) See the programme (PDF) The SIGRAV Graduate School in Contemporary Relativity and Gravitational Physics is held annually at the Centre for Scientific Culture "Alessandro Volta", Villa Olmo, Como. It is primarily addressed to PhD students and young researchers in Physics and Mathematics who are interested in general relativity, astrophysics, experimental gravity and the quantum theories of gravitation. In 2001 the School will be a joint venture with the School on Algebraic Geometry and Physics organized by the Mathematical Physics Group of the International School for Advanced Studies (SISSA) in Trieste. The School on Algebraic Geometry and Physics is part of a series of events that SISSA is organizing since 1996 aiming at fostering the interaction between mathematicians working in pure algebraic geometry and researchers who are interested in applications of algebraic geometry to physics, especially string theory and integrable systems. Information on the "Algebraic Geometry and Physics'' series is available from the web page

118. SIMULATING GENERAL RELATIVITY Some examples of the phenomena of general relativity are simulated. This provides a graphical sight on the main general relativity concepts. The simulations include solutions in 3D (XY +time) and 4D (XYZ+time) spaces. http://www.raczynski.com/pn/genrel.htm

SIMULATING GENERAL RELATIVITY Stanislaw Raczynski stanracz@prodigy.net.mx ABSTRACT Some examples of the phenomena of general relativity are simulated. This provides a graphical and quite illustrative sight on the main general relativity concepts. The simulations include solutions in 3D (XY +time) and 4D (XYZ+time) spaces. The solutions are more general than those which can be obtained analytically. For example, the approach to the black hole is simulated not only as a radial particle movement, but as an arbitrary trajectory in the 3D space. The distortion of images of far objects seen through a neighborhood of a black hole is simulated using photon trajectories in 4D space. Also the entrance of an arbitrary trajectory into the horizon of the black hole is simulated both with the coordinate time (seen by the static observer) and with the proper time (clock) of the moving body. Time distortion at the neighborhood of the black hole is shown as a 3D “space-distortion” plot. Interesting simulation experiments are also shown for the rotating black hole. Click here to download the complete article Consult also: http://www.raczynski.com/pn/pn.htm

119. Mukul's Cosmos Graduate student at Stanford University. Includes research interests and publications, articles on relativity, quantum mechanics, and string theory http://uk.geocities.com/mukulagrawal78/index.html

WELCOME TO MY COSMOS Kindly Sign My Guestbook View Guestbook Hide Advertisements Suggestion for improving the site

120. Relativity Technologies - Application Modernization And Management Specializes in legacy to eBusiness transformation with RescueWare, a product which transforms COBOL based applications to modern e-Business platforms such as Java, C++, and Visual Basic. http://www.relativity.com/

News AND OR advanced search help Application Modernization and Management: Ten Business Challenges 8 March 2004 Relativity Technologies, Inc. Raises $6.5 Million to Accelerate Sales and Marketing Expansion 25 February 2004 Relativity Charges Ahead 2 February 2004 Relativity Technologies, Inc. and Partners Deliver Platform for Application Modernization and Management 2 February 2004 Relativity Enables Third-Party Integration With Software 14 January 2004 13 January 2004 Modernization Workbench Platform Leading solution vendors SML and Trinity Millennium today announced their endorsement of the Relativity Technologies platform for application modernization and management. Application Modernization and Management Relativity's Modernization Workbench is a complete product suite with customizable modules to help businesses to reduce costs through more effective application modernization. Modernization Case Study When the state of North Carolina looked at options for the modernization of a critical system, they wanted to maintain their existing, proven business processes with a minimum of risk - especially given the importance of their application. Based on the expertise and track record of Relativity Technologies and the Modernization Workbench, the NC DOJ opted for Relativity's solution to spearhead their application modernization. LIANT

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