NL100 - JJ: pre-flop vs cold 4bet

u should cold 4bet ~50% of his 3b range in this spot. So that's approximately QQ+/AK or JJ+/AK. And probably fold the bottom half of that range vs a jam.

Also based on the stats you gave, he's probably jamming AKs+/KK+ which JJ is a huge underdog against and you won't be pot-committed.

where does this 4bet% based on 50% of his 3betting range come from? could you please explain?

it's just a guideline

the calculations are pretty long and based on the assumption that all players have a 1:1 value:bluff ratio and are reraising with the top 40-50% of their range.

Guess what villain is 5b jamming with
See what hands you are committed with based on equity vs pot odds
Figure out your appropriate value:bluff ratios for your 4b range to keep villian indifferent from 5b bluffing with one of his 3b bluffs
Derive your entire range

I cover that in great detail in my preflop perfection course so you might want to check that out if you are interested

Do you have a calling range here?
You use that polarized range because of the possibility of being just called? If we dont expect him to call much i guess would be better to bluff hands like Ax because they have a better removal effect than JJ, and call/fold JJ..