White paper does not mention halving !
Bitcoin’s White paper was made almost two decades ago.
It only talks about the fundamentals of bitcoin but does not specifically get into every detail about the network nor the mechanisms used. Meanwhile, Halving was introduced way later on to control the supply of bitcoin maintaining itself as an attractive asset due to its scarcity.
Due to many people taking interest in bitcoin, I am sure there would be many more systems and innovations that would be soon implemented that we can not add to the white paper anymore.