Chuck,
In the words of that immortal song,
"If you haven't got a penny, then a half penny will do"
Here's my take,
I know this particular rule point has been argued before, but, if a dribbler purposely goes out-of bounds to avoid a defender, leaving the ball on the court, then comes back in and continues the dribble, that is ILLEGAL! Violation, B's ball. So in this case;
If B1 has legal guarding position, A1 "forces" his way through the gap, bumps into A1, goes out of bounds,
then regains dribble after coming inbounds, Violation on A1,
award B the ball.
I'm with Chuck,
If the contact by A1 did not displace B1, how can you call a PC foul? Don't do it! If the contact by B1 caused A1 to go OOB's, then call the foul on B1.
If you interpret A1 losing the ball then coming back in and continuing the dribble after re-establishing position on the floor, then no-call it and play on!
As I said before, if A1 purposely goes OOB"S then comes in and regains dribble, VIOLATION!
Chuck,
Nice posts regarding this matter. Well thought out. Great job with the incidental contact stuff.
Now, remember, I officiate on the "dark side," so tak it for what it's worth.