Vectors in Minkowski Space & Parity: Checking the Effect

[illuminates]

It is known that vectors change them sing under the influence of parity when $(x,z,y)$ change into $(-x,-z,-y)$
$$P: y_{i} \rightarrow -y_{i}$$
where $i=1,2,3$
But what about vectors in Minkowski space? Is it true that
$$P: y_{\mu} \rightarrow -y_{\mu}$$
where $\mu=0,1,2,3$.
If yes how one can check it?

 

[Paul Colby]

The action of parity reversal is the same for the space components. Time reversal changes the sign of the T bits.

 

[Paul Colby]

But what about vectors in Minkowski space? Is it true that

Just to be clear, no.

 

[illuminates]

The action of parity reversal is the same for the space components. Time reversal changes the sign of the T bits.

Please see continuation of my questions in this thread https://www.physicsforums.com/threads/pseudotensors-in-different-dimensions.937348/#post-5924496

 

[PeterDonis]

Thread closed as it is a duplicate thread on the same topic.