Special Relativity
Canal plan to power 45,000 homes Turbines along British canals and rivers could power 45,000 homes within five years under new plans. news.bbc.co.uk 30 people made homeless by fire Up to 30 people have had their homes destroyed by a fire at a three-storey block of flats in County Down. news.bbc.co.uk Painkillers 'cut breast cancer' Regular use of common painkillers such as aspirin and ibuprofen reduces the risk of breast cancer, according to an international study. news.bbc.co.uk Anger over Guantanamo Bay ruling The White House criticises a US judge who ruled 17 Chinese Muslims held at Guantanamo Bay should be freed into the US. news.bbc.co.uk Cipriani floored in training row England rugby star Danny Cipriani is involved in a training ground bust-up with Wasps team-mate Josh Lewsey. news.bbc.co.uk Send your video, pictures and story ideas Have you got a good story? BBC News wants to hear from you. news.bbc.co.uk 'Cactus Kid' fruit drink advert spiked A fruit drink TV advert which showed a girl running away from home with her "cactus" boyfriend has been ordered off the air. news.bbc.co.uk US voters put rivals to the test The US presidential hopefuls spar over the financial crisis and foreign policy in a debate where voters put the questions. news.bbc.co.uk Icesave worries Financial expert answers readers' banking questions news.bbc.co.uk Drugs and violence rife at prison A culture of hard drugs and violence remains rife at a Cheshire prison, an inspection finds. news.bbc.co.uk Student fees shake-up is proposed The assembly government should target its financial help to students from poorer backgrounds, a report suggests. news.bbc.co.uk Kenya dismisses tanks 'evidence' A Kenyan minister denies BBC reports that tanks seized by pirates were bound for South Sudan. news.bbc.co.uk Mbeki ally threatens to split ANC A close ally of South Africa's ex-President Thabo Mbeki warns some ruling ANC members may break away from the party. news.bbc.co.uk Dictionary man Does apricity and psithurism happify the pejorist? news.bbc.co.uk Flat searched over 7 July attacks Detectives probing the 7 July terror attacks in London three years ago search a flat in Leeds. news.bbc.co.uk Schools told to counter extremism Schools in England are given advice on how to protect pupils from being recruited by supporters of violent extremism. news.bbc.co.uk Last orders Is it the bitter end for Ireland's love affair with the pub? news.bbc.co.uk First minister welcomes bank plan Alex Salmond welcomes the UK government's £50bn rescue plan for banks and building societies. news.bbc.co.uk Your stories UK customers of bank Icesave voice their concerns news.bbc.co.uk Big-money England match in doubt The $20m match between England and Sir Allen Stanford's Caribbean team is in doubt after a High Court ruling over sponsorship. news.bbc.co.uk No game-changer How McCain failed to pull off the big win he needed news.bbc.co.uk Speed machines How flying doctors are saving lives - at 145mph news.bbc.co.uk Fraudsters 'target bank accounts' Credit restrictions in the financial crisis are causing identity fraudsters to target existing bank accounts, a report says. news.bbc.co.uk Rescue plan for UK banks unveiled The government outlines a £50bn rescue plan to tackle "extraordinary turbulence" in the banking system. news.bbc.co.uk Bank crisis hits Hammers spending West Ham admit they will have to sell players before they can buy any new ones in the January transfer window. news.bbc.co.uk | World Catalog > Science > Physics > Relativity > Special Relativity Last searches:videocoeurnarutoapr card credit lowjulsmall business hosting World Catalog > Science > Physics > Relativity > Special RelativitySpecial Relativity:Commutative Hypercomplex Special Relativity Einstein's special relativity is formulated in terms of 4-D commutative hypercomplex mathematics. The traditional results are obtained, but some additional effects are suggested. http://home.comcast.net/%7ecmdaven/special.htm Derivation of the Lorentz Transformation This derivation uses the group property of the Lorentz transformations, which means that a combination of two Lorentz transformations also belongs to the class Lorentz transformations. [PDF] http://www2.physics.umd.edu/~yakovenk/teaching/Lorentz.pdf A Derivation of the Lorentz Transformation From a Simple Definition of Time The fundamental equations of special relativity are derived with only high school algebra and toy universes consisting of moving rulers. [PDF] http://www.everythingimportant.org/relativity/special.pdf Free Classified Ads Portal www.graand.com Deriving Relativistic Momentum and Energy Expressions for momentum and energy of a relativistic particle may be derived from the composition law for velocities along one spatial dimension. http://lanl.arxiv.org/abs/physics/0402024 Deriving Relativistic Momentum and Energy. II. The usual relativistic expressions for momentum and kinetic energy are generalized from the one-dimensional to the three-dimensional case. http://lanl.arxiv.org/abs/physics/0504095 The Doppler Shift Equation For An Accelerating Frame of Reference The exact equation for the Doppler shift in a uniformly accelerating rocket is derived in two different ways. The first method depends on a functional equation and Einstein’s approximation. The second approach is a direct application of several familiar equations in the relativity of uniformly accelerated motion. http://www.everythingimportant.org/SDA/viewtopic.php?f=14&t=969 A multimedia tutorial on Special Relativity. The introductory level takes 10 minutes, but has links to over 40 explanatory pages giving greater depth and breadth. http://www.phys.unsw.edu.au/einsteinlight/ An article from the Wikipedia encyclopedia. http://en.wikipedia.org/wiki/E%3Dmc%C2%B2 Generalized Relativistic Velocity Addition with Spacetime Algebra The general problem of relativistic addition of velocities – and the successive application of noncollinear Lorentz boosts – is addressed. [PDF] http://arxiv.org/ftp/physics/papers/0511/0511247.pdf Geometric Algebra for Physicists This is chapter 1 of a book by Chris Doran and Anthony Lasenby on geometric algebra, which is the natural mathematics of spacetime. [PDF] http://assets.cambridge.org/052148/0221/sample/0521480221WS.pdf How Do You Add Velocities in Special Relativity? Here is the formula for adding velocities in special relativity when motion occurs in a single direction. http://math.ucr.edu/home/baez/physics/Relativity/SR/velocity.html How Stuff Works: Special Relativity The major principles of special relativity (SR) are discussed in an accessible way, via 5 segments, to help you understand the lingo and theories involved. http://www.howstuffworks.com/relativity.htm There is a preferred algebra of quaternions and complex numbers that is ideally suited to express the equations of special relativity and classical electrodynamics. [PDF] http://arxiv.org/abs/math-ph/0309061 Jim Doyle's Special Relativity Pages A growing collection of pages on special relativity, including Special Relativity in under 15 Minutes! http://www.btinternet.com/~j.doyle/SR/sr1.htm The Lecture Notes of Dr. R. D. Field The online physics course notes for Physics 3063, by Professor Rick Field, University of Florida, is a good summary of many of the useful formulas used in special relativity. http://www.phys.ufl.edu/~rfield/PHY3063/ Lorentz Contraction and Accelerated Systems Lorentz contraction in systems undergoing constant proper acceleration is proven to be completely self-consistent in the context of special relativity. [PDF] http://arxiv.org/abs/gr-qc/0301050 There are many ways to derive the Lorentz transformation without invoking Einstein's constancy of light postulate. The path preferred in this paper restates a simple, established approach. [PDF] http://lanl.arxiv.org/abs/physics/0302045 On the Electrodynamics of Moving Bodies Albert Einstein's first paper on relativity, translated here from Annalen der Physik vol XVII 1905 p. 891-921, is of historical interest. http://www.fourmilab.ch/etexts/einstein/specrel/www/ On the Electrodynamics of Moving Bodies (Part A: Kinematics) by Albert Einstein In this annotated version of Einstein's paper, the author attempts to express Einstein's insights in familiar notation and fills in some of Einstein's many missing intermediate steps. [PDF] http://www.sigmapisigma.org/radiations/2005/electrodynamics_fall05.pdf Quaternions in University-Level Physics Considering Special Relativity The quaternions are an expansion of complex numbers and show close relations to numerous physically fundamental concepts (e.g. Pauli Matrices). [PDF] http://arxiv.org/ftp/physics/papers/0308/0308017.pdf Special Relativity made Relatively Simple offers information and experiments about special relativity. http://web.wt.net/~cbenton/relativity.htm Relativists consider it a very important exercise to have students decide how to measure the length of a rapidly moving object. http://www.ux1.eiu.edu/~cfadd/1160/Ch27SpRl/ApLrntz.html Relativistic Force Transformation Formulas relating one and the same force in two inertial frames of reference are derived directly from the Lorentz transformation of space and time coordinates. [PDF] http://arxiv.org/abs/physics/0507099 This is how special relativity is taught by Dr. David Morin at Harvard University. 72 pages. [PDF] http://isites.harvard.edu/fs/docs/icb.topic245778.files/ICM_chap11.pdf An introduction to relativity using space-time diagrams. http://www.astro.ucla.edu/~wright/relatvty.htm Sagnac Effect, Twin Paradox and Space-Time Topology When viewed with an alternative synchronization convention, the Sagnac effect on a rotating disk is purely topological and the rim of the disk is essentially an inertial system. http://arxiv.org/abs/gr-qc/0403111 Santa at Nearly the Speed of Light An estimate of the speed and distances covered by Santa Claus on Christmas night. The physics is unassailable. The article is hosted on the Fermi National Accelerator Laboratory website. http://www.fnal.gov/pub/ferminews/santa/ Simple Derivation of the Special Theory of Relativity Without the Speed of Light Axiom Special relativity may be derived just from assuming isotropy, homogeneity and a principle of relativity, without the need to consider the speed of light. http://arxiv.org/abs/0710.3398 Space Measurements on a Rotating Platform The age-old puzzling problem of Lorentz contraction on a rotating platform, i.e., Ehrenfest's paradox, is explained in its proper mathematical context. [PDF] http://arxiv.org/abs/gr-qc/0309020 A unit for an online relativity textbook explaining special relativistic mathematical physics. http://www.geocities.com/zcphysicsms/sr.htm A brief overview of the theory of special relativity, and how it pertains to particles at SLAC (Stanford Linear Accelerator) http://www2.slac.stanford.edu/vvc/theory/relativity.html This is chapter two of Christoph Schiller's 1000 page walk through the whole of physics, from classical mechanics to relativity, electrodynamics, thermodynamics, quantum theory, nuclear physics and unification. 61 pages. [PDF] http://www.motionmountain.net/C-2-CLSC.pdf Tutorial explains about the postulates, paradox, simulaneity, time dilation, Lorentz transformation constructions, spacetime wheel, and the Fitzgerald-Lorentz contraction. Page includes some animated illustrations. http://casa.colorado.edu/~ajsh/sr/sr.shtml Special Relativity and Maxwell Equations A self-contained summary of the theory of special relativity is given, which provides the frame for classical electrodynamics. 26 pages. [PDF] http://www.csit.fsu.edu/~berg/teach/phy4241/Lectures/relativity1.pdf Special Relativity Lecture Notes A standard introduction to special relativity where explanations are based on pictures called spacetime diagrams. http://www.phys.vt.edu/~takeuchi/relativity/notes A Special Relativity Paradox: The Barn and the Pole The answer to the famous barn and the pole paradox is that the two doors are never closed at the same time in the runner's frame of reference. http://www.math.ucr.edu/home/baez/physics/Relativity/SR/barn_pole.html The Special Theory of Relativity Self-tutorial with short essays, questions and answers. http://astro.physics.sc.edu/selfpacedunits/Unit56.html The Structure of Space-Time Transformations This theorem by H. J. Borchers and G. C. Hegerfeldt proves that the constancy of light velocity alone implies the Lorentz group (up to dilatations). http://projecteuclid.org/Dienst/UI/1.0/Summarize/euclid.cmp/1103858408 Synchronization Gauges and the Principles of Special Relativity Synchronization functions set the mathematical clocks represented by the Lorentz transformation and resetting these clocks mathematically only produces a theory equivalent to special relativity in predicting empirical facts. 57 pages. [PDF] http://arxiv.org/abs/gr-qc/0409105 The gamma factor and time dilation can be derived using a very simple clock. http://www.pa.msu.edu/courses/2000spring/PHY232/lectures/relativity/dilation.html The Twin Paradox in a Spatially Closed and Bounded Universe Spatially compact spacetimes break global Lorentz invariance and define absolute inertial frames of reference. http://www.everythingimportant.org/relativity/general.htm Understanding Special Relativity Brief explanation of special relativity, using no more than high-school level mathematics; includes an account of the twin paradox, some remarks on faster-than-light travel, and some material on relativistic mechanics. By Rafi Moor. http://www.rafimoor.com/english/SRE.htm This paper analyzes several simple uniform acceleration problems, including the paradox of John Bell. [PDF] http://www.ph.utexas.edu/~gleeson/NotesChapter13.pdf University Lectures on Special Relativity Lecture notes on Special Relativity, prepared by J. D. Cresser, Department of Physics, Macquarie University. 44 pages. [PDF] http://www.physics.mq.edu.au/~jcresser/Phys378/LectureNotes/SpecialRelativityNotes.pdf Wikipedia: Introduction to Special Relativity Encyclopedia article giving a brief outline of the basic concepts of special relativity (including simple formulas). http://en.wikipedia.org/wiki/Introduction_to_special_relativity Online encyclopedia article. http://en.wikipedia.org/wiki/Special_relativity | No game-changer How McCain failed to pull off the big win he needed news.bbc.co.uk Anger over Guantanamo Bay ruling The White House criticises a US judge who ruled 17 Chinese Muslims held at Guantanamo Bay should be freed into the US. news.bbc.co.uk Speed machines How flying doctors are saving lives - at 145mph news.bbc.co.uk 30 people made homeless by fire Up to 30 people have had their homes destroyed by a fire at a three-storey block of flats in County Down. news.bbc.co.uk Painkillers 'cut breast cancer' Regular use of common painkillers such as aspirin and ibuprofen reduces the risk of breast cancer, according to an international study. news.bbc.co.uk Big-money England match in doubt The $20m match between England and Sir Allen Stanford's Caribbean team is in doubt after a High Court ruling over sponsorship. news.bbc.co.uk Dictionary man Does apricity and psithurism happify the pejorist? news.bbc.co.uk US voters put rivals to the test The US presidential hopefuls spar over the financial crisis and foreign policy in a debate where voters put the questions. news.bbc.co.uk First minister welcomes bank plan Alex Salmond welcomes the UK government's £50bn rescue plan for banks and building societies. news.bbc.co.uk Icesave worries Financial expert answers readers' banking questions news.bbc.co.uk Kenya dismisses tanks 'evidence' A Kenyan minister denies BBC reports that tanks seized by pirates were bound for South Sudan. news.bbc.co.uk Last orders Is it the bitter end for Ireland's love affair with the pub? news.bbc.co.uk Bank crisis hits Hammers spending West Ham admit they will have to sell players before they can buy any new ones in the January transfer window. news.bbc.co.uk Rescue plan for UK banks unveiled The government outlines a £50bn rescue plan to tackle "extraordinary turbulence" in the banking system. news.bbc.co.uk 'Cactus Kid' fruit drink advert spiked A fruit drink TV advert which showed a girl running away from home with her "cactus" boyfriend has been ordered off the air. news.bbc.co.uk Schools told to counter extremism Schools in England are given advice on how to protect pupils from being recruited by supporters of violent extremism. news.bbc.co.uk Send your video, pictures and story ideas Have you got a good story? BBC News wants to hear from you. news.bbc.co.uk Fraudsters 'target bank accounts' Credit restrictions in the financial crisis are causing identity fraudsters to target existing bank accounts, a report says. news.bbc.co.uk Student fees shake-up is proposed The assembly government should target its financial help to students from poorer backgrounds, a report suggests. news.bbc.co.uk Mbeki ally threatens to split ANC A close ally of South Africa's ex-President Thabo Mbeki warns some ruling ANC members may break away from the party. news.bbc.co.uk Canal plan to power 45,000 homes Turbines along British canals and rivers could power 45,000 homes within five years under new plans. news.bbc.co.uk Cipriani floored in training row England rugby star Danny Cipriani is involved in a training ground bust-up with Wasps team-mate Josh Lewsey. news.bbc.co.uk Drugs and violence rife at prison A culture of hard drugs and violence remains rife at a Cheshire prison, an inspection finds. news.bbc.co.uk Flat searched over 7 July attacks Detectives probing the 7 July terror attacks in London three years ago search a flat in Leeds. news.bbc.co.uk Your stories UK customers of bank Icesave voice their concerns news.bbc.co.uk |
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