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This tag is for questions relating to invariant, a property of a system which remains unchanged under some transformation. In physics, invariance is related to conservation laws.

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Why is the scalar product of two four-vectors Lorentz-invariant?

A vector $\mathbf{v} = v^i \, \mathbf{e}_i = q^j \,\mathbf{u}_j$ has different vector components ($v^i$, $q^j$ in this case) in different bases ($\{\mathbf{e}\}$,$\{\mathbf{u}\}$, in our example) whic …
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