I have 3 questions regarding BM
1. Trans-plankian problem
Let’s roll all processes back in time from the God’s view (so we see all BM particles and their trajectories are not hidden to us). Like any single-history deterministic theory in BM the future is ‘encoded’ in the past, so, the deeper we go into the past the more precise tuning is required for all particles to end at the places they are right now (the same in true in classical mechanics because it is a single-history deterministic theory too).
Very soon that precision becomes so high that it requires to the position of particles to be less then planks length. BM predicts that there is no fundamental length. Hence BM might be inconsistent with the future TOE
2. As we go back in time our Universe becomes more and more dense. But in BM the total amount of information is the same, so the ‘density’ of information becomes higher and higher. Ultimately BM predicts that there should be no limit of the amount of information is a given volume. It is also a consequence of 1
However, we have very important hints from the Nature (holographic principle and entropy of black holes) that the amount of information is limited.
3. Finally, I wonder how BM solves the problem of the initial conditions? In single-history non-deterministic theories (CI) all complexity and symmetry breaking can come from very simple initial conditions. MWI, multiple-history theories also can derive everything from simple initial conditions (absolutely symmetric and void false vacuum for example). But it is not the case for the single-history deterministic theories.
Just think about the deterministic theory in a context of Quantum Loop Gravity Big Bounce. The text I am typing was actually encoded in the pre-bounce universe. Weird, isn’t it?
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