The discussion centers on the concepts of pseudoscalars and pseudovectors, particularly their behavior under parity inversion. Participants explore the definitions and properties of these mathematical entities, including their parity eigenvalues and how they differ from ordinary vectors.
Participants express varying degrees of understanding regarding the definitions and behaviors of pseudoscalars and pseudovectors, but no consensus is reached on the implications of these properties or their applications.
The discussion does not resolve the underlying assumptions about the definitions of pseudoscalars and pseudovectors, nor does it clarify the implications of their parity properties in broader contexts.
Another way to look at it: A polar vector (or true vector) has the component normal to the mirror reversed upon reflection. Pseudovectors don't. Stand in front of a mirror and point straight at your reflection. Your reflection is pointing back at you, opposite the direction you are pointing. Now rotate some object so that the axis of rotation is into the mirror. The axis of rotation reflected image is also into the mirror, unaffected by the reflection.copernicus1 said:I think I get it. A pseudovector, after being reflected, is also reversed in direction. A vector is simply reflected.