@guru at all: I just want to create a correct option pricing model where CALL and PUT have the same payout.
As said, I first tried it on the BSM, but failed miserably b/c that addition of mine to the BSM suddenly made arbitrage possible :-(
So, this now is my 2nd attempt to find a solution. This means BSM can't be used for this desired option feature/behavior.
The consequence is of course: I must find a new, independent option pricing model with that desired feature.
I'm working on it and I'm confident to come up soon with a better model than BSM.
It isn't that important for me whether the world will use my new model or not. I just want to create the mathematically correct option pricing model. History will decide about its success or failure: if it convinces the industry and the academics then the industry will abandon BSM and use that new pricing model. That's my simple plan.