Special Relativity (39)
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 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    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 The Special Theory of Relativity - Self-tutorial with short essays, questions and answers. - http://astro.physics.sc.edu/selfpacedunits/Unit56.html Imaginary In All Directions - There is a preferred algebra of quaternions and complex numbers that is ideally suited to express the equations of special relativity and classical electrodynamics. - http://arxiv.org/abs/math-ph/0309061 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. - http://arxiv.org/abs/gr-qc/0309020 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 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 Nothing but Relativity - 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. - http://lanl.arxiv.org/abs/physics/0302045 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 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 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/ 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. - http://arxiv.org/abs/gr-qc/0301050 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. - http://arxiv.org/abs/physics/0507099 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 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. - http://assets.cambridge.org/052148/0221/sample/0521480221WS.pdf 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 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. - http://www.csit.fsu.edu/~berg/teach/phy4241/Lectures/relativity1.pdf 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. - http://arxiv.org/ftp/physics/papers/0511/0511247.pdf Special Relativity - 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 Time Dilation - 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 Einstein Light - 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/ Relativistic Kinematics - This is how special relativity is taught by Dr. David Morin at Harvard University. 72 pages. - http://www.courses.fas.harvard.edu/~phys16/Textbook/ch10.pdf The Axiomatization of Physics - Step 1: A Derivation of the Lorentz Transformation - The fundamental equations of special relativity are derived with only high school algebra and toy universes consisting of moving rulers. - http://www.everythingimportant.org/relativity/special.pdf 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/ 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). - http://arxiv.org/ftp/physics/papers/0308/0308017.pdf 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. - http://arxiv.org/abs/gr-qc/0409105 University Lectures on Special Relativity - Lecture notes on Special Relativity, prepared by J. D. Cresser, Department of Physics, Macquarie University. 44 pages. - http://www.physics.mq.edu.au/~jcresser/Phys378/LectureNotes/SpecialRelativityNotes.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 Relativity Tutorial - An introduction to relativity using space-time diagrams. - http://www.astro.ucla.edu/~wright/relatvty.htm Relativistic Contraction - 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 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 Wikipedia: Special Relativity - Online encyclopedia article. - http://en.wikipedia.org/wiki/Special_relativity 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 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 Relatively Simple - Special Relativity made Relatively Simple offers information and experiments about special relativity. - http://web.wt.net/~cbenton/relativity.htm |
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