Does the many worlds interpretation not violate determinism?

Okay, consider me dumb here. I’m not a physicist but the question genuinely bugs me and i think there’s a gap in my understanding. But my question presupposes determinism as does the many worlds theory.

How can particles have more than one state in real terms, so as to be branched off.

Lets say the interpretation is true. Consider that a wave passes through a slit and it has a less wider slit ahead of it.

Now lets say if you observe the wave after it passes through the first slit and you find the particle at a certain location, assuming the other states have branched off. How could this particle have any further states that are alternatives of each other (Since things branch off every 10th to the power of something of a second in many worlds). Should its trajectory not be fixed now given its past trajectory as one of the states passing from the first slit and its causal connection with that. and if not, doesn’t that clearly violate determinism.

I’m probably wrong and not very articulate in trying to ask this but for an analogy, consider a tiny ball passing through the first slit and there’s a slit ahead of it. Dynamics like the ball’s momentum, the molecules of air around it, the direction of force applied to it should determine at what location it passes the next slit. It can’t have a superposition of different locations that it would pass the next slit. Because from things acting on it, there’s only one possible way it can go forward from that point on. Many worlds says that the universe has a wave function and is constantly splitting but at any one instant in one of its states in the wavefunction, all the dynamics of that state should leave way for only one possible outcome going forward, but of course that state paves way for further splitting in the theory and leads to daughter universes born from a parent state. How could this be possible assuming determinism. And i know many worlds is also deterministic and protects local realism but i can’t understand how.

• Are you under the impression that Many Worlds is a semi-classical theory where particles still have definite positions and trajectories? MW is fully quantum mechanical - arguably more quantum mechanical than the standard treatment insofar as it does away with the idea of measurement by a classical observer. Commented Jul 22, 2022 at 3:13
• Commented Jul 22, 2022 at 5:25
• @J.Murray i’ve updated the question. Please read the updated one. I’m simply confused how during universal wave function’s evolution, one of its states at any given time could have the potential to produce daughter states. How do the different degrees of freedom for the daughter states even emerge given all the fixed dynamics of the parent state. Shouldn’t it lead to only one possible outcome? And i’m probably wrong or confused about it, I don’t understand it. Commented Jul 22, 2022 at 7:39