Directory: Top/Science/Physics/Relativity/Special

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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
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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
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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/
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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.
http://www.everythingimportant.org/relativity/special.pdf
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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/
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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
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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
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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
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E=mc²
An article from the Wikipedia encyclopedia.
http://en.wikipedia.org/wiki/E%3Dmc%C2%B2
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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
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