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Development of generalized metric

  1. Jun 5, 2008 #1
    We all know how the metric of GR is a generalization of the flat Minkowski spacetime metric. But I wonder if the SR metric is generalized from the kinetic energy term of Newtonian physics. There the kinetic energy is (1/2)m*v^2=(1/2)m*dx*dx. If the mass/2 plays the role of the metric, then this looks like n_uv*dx^u*dx^v, like a differential line segment. Or what part does the kinetic term play in the SR inner product. Thanks.
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  3. Jun 6, 2008 #2


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  4. Jun 6, 2008 #3


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    Wow, that's breaking a butterfly on a wheel. (I hope I got the saying right; is it symptomatic that it involves cannons in german?)
    Maybe the OP wants to start with adding an appropriate numder of dt's in his equation:
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