Horace
What happens to the angular momentum? This seems to deny
conservation of angular momentum.
No problem there. 1 - 1 = 0 All balances before and after pair
formation.
That doesn't look like a proper cross product, or else I don't
understand the full situation. You have studied this more than me,
obviously, but I was under the impression that as a psuedovector
there would be no such additive cancellation. However, being
mildly dyslexic I often get these kinds of spin things confused,
so please correct this line of reasoning. Angular momentum is a
pseudovector. Often, the distinction between vectors and
pseudovectors is overlooked, but it only becomes important in
understanding the effect of symmetry on the solution to physical
system interactions. A pseudovector is a quantity that transforms
like a vector under a proper rotation, but gains an additional
sign flip under an improper rotation (a transformation that can be
expressed as an inversion followed by a proper rotation which is
what we have here with two electrons - an improper rotation). It
follows that any improper rotation multiplies the cross product
by -1 compared to a true vector.
My take on the bottom line of this is that the angular momentum
cancellation you seem to be basing this premise on cannot happen
in normal physics.
...or did I get dyslexic again ?
Jones
