Before I state my question I want to say I am in no way an expert/professional in this field. I read quite a bit on the subject and I consider myself familiar with the basic concepts but I really want to hear an opinion from anyone who is more involved in that subject.
I have trouble fully understanding the fundamental difference between the Copenhagen Interpretation and the Many Worlds Interpretation of quantum physics in regard to the measurement problem, perceived reality and conscious observers. To me it seems like they are both just different framings of the same problems.
CI tells us, at the moment of measurement of a quantum bit in superposition, the wave function collapses and the probability of one of the possible outcomes becomes 1. MWI on the otherhand states the wave function never collapses but instead at the moment of measurement or decoherence, the system the qubit interacted with enters a superposition too and both possible realities exist perpendicular to each other (branching). However in each of these perpendicular realities the probability for one of the possible measurements just jumped to 1.
So the question of Why does a measurement cause collapse of the wave function? (CI) becomes Why only one of the perpendicular realities can be observed? (MWI). If I was ignorant and to say 'I don't care if perpendicular unobservable realities exists.' both seem very semilar to me and come down to the same questions: What exactly IS measurement?, Why can we only observe one of the possible realities? and What is the mechanism to decide which one we observe? (If there is any other than fundamental randomness)
So to all of you more familiar with the subject my question is: What problem is solved by the MWI (other than more elegant mathematics)? And what is fundamentally different between CI and MWI in regard to measurement, observed reality or even conscious experience?