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Results tagged with invariants
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user 247778
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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Proving an object is a $4$-vector given its inner product with a $4$-vector is a scalar
Theorem: Suppose $A_{\mu}$ is a $4$-vector and $B^{\mu}$ is an object with $4$ components. If $A_{\mu}B^{\mu}$ is a scalar then $B^{\mu}$ is a $4$-vector.
I have been stuck on trying to prove this the …
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