Directory: Top/Science/Physics/Relativity/Special

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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
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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
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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
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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
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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/
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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
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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
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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
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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
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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
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