What is a bad beat?

[Tater10]

Typical bubble play. Dealt 4c 6c, you need chips and push. You get called (uh oh), villain rolls Ah Kd. You know you are 41% to win right now.

Scenario #1: You flop the flush, villan is drawing dead. You double up.

Scenario #2: 4 blanks, but you spike a 6 on the river and double up.

Scenario #3: Flop come A K 3, Turn 7, River 5. You double up.

In each of these, villain says:
villain: What a load of XXXX you lucky XXXX


Are all of these bad beats? All your money went into the middle when you were a 2:3 underdog, which I dont think qualifies as a bad beat (45% is called a 'race').

Is there a cutoff? I consider AQ beating AK a bad beat, or 55 beating JJ a bad beat. I dont believe AK beating QQ a bad beat.