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models:special_relativity [2018/05/26 14:12] jakobadmin [Why is it interesting?] |
models:special_relativity [2022/10/23 02:17] edi [Concrete] |
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+ | * [[https://terrytao.files.wordpress.com/2013/01/relativistic1.pdf|Notes on Special Relativity for High-School Students]] by Field Medalist Terrence Tao | ||
* [[https://arxiv.org/abs/physics/0302045|Nothing but Relativity]] by Palash B. Pal | * [[https://arxiv.org/abs/physics/0302045|Nothing but Relativity]] by Palash B. Pal | ||
* [[http://www2.physics.umd.edu/~yakovenk/teaching/Lorentz.pdf|Derivation of the Lorentz Transformation]] by Yakovenko | * [[http://www2.physics.umd.edu/~yakovenk/teaching/Lorentz.pdf|Derivation of the Lorentz Transformation]] by Yakovenko | ||
* [[http://aapt.scitation.org/doi/pdf/10.1119/1.11622|A simple method for illustrating the difference between the homogeneous and inhomogeneous Lorentz groups]] by Y. S. Kim | * [[http://aapt.scitation.org/doi/pdf/10.1119/1.11622|A simple method for illustrating the difference between the homogeneous and inhomogeneous Lorentz groups]] by Y. S. Kim | ||
* [[http://aapt.scitation.org/doi/abs/10.1119/1.11632|Representing arbitrary boosts for undergraduates]] by Charles P. Frahm | * [[http://aapt.scitation.org/doi/abs/10.1119/1.11632|Representing arbitrary boosts for undergraduates]] by Charles P. Frahm | ||
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+ | ---- | ||
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+ | **Distance in Space vs. Space-Time** | ||
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+ | The diagram below illustrates the difference between distance in Euclidean space (left) and "distance" (actually proper time) in space-time a la Einstein. For a more detailed explanation of this diagram see [[https://esackinger.wordpress.com/|Fun with Symmetry]]. | ||
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+ | [{{ :models:space_time_dist.jpg?nolink }}] | ||
<tabbox Abstract> | <tabbox Abstract> | ||
+ | Mathematically, special relativity is the statement that all laws of physics are invariant under the [[advanced_tools:group_theory:poincare_group|Poincare group]]. | ||
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+ | ---- | ||
In special relativity spacetime denotes the configuration space of a __single__ point particle. We denote the Minkowski spacetime by $Q$, i.e., $\mathbb{R}^{3+1}\ni(x^0,\ldots,x^n)$ with the [[advanced_tools:minkowski_metric|Minkowksi metric]] | In special relativity spacetime denotes the configuration space of a __single__ point particle. We denote the Minkowski spacetime by $Q$, i.e., $\mathbb{R}^{3+1}\ni(x^0,\ldots,x^n)$ with the [[advanced_tools:minkowski_metric|Minkowksi metric]] |