First you have to show that ideas are possessions. Likewise, you want to make me your slave by forcing me to pay you for using my property in a certain way.
That's not what is meant by scarcity in this sense. Think of a hammer - if I'm using it, you can't use it. Does that same statement apply to a story, or a song, or any other idea?
Just answer the questions... why do you have the right to control the use of your ideas? Why does that right supersede my right to liberty?
If I don't share my it's my possession, right? Industrial espionage would still be punishable in your world? Why then does it end to be my possession all of a sudden?
And I don't want to force you to use your property in a certain way, I want to prevent you. Sort of like how your right to wave your fists around ends where my face begins.
It applies to time. If I'm using it to invent unobtanium, it can't be used for something else.
Why I have the right to control my ideas? Because they're mine perhaps? I spent time and by extension money on it. You don't have the right to wander into my property, why doesn't that apply to IP? Why does the right to property supersede your right to liberty?