Seems to me you are trying to replace the “infinite precision” by something else, without actually addressing the things that made people assume “infinite precision” in the first place.
I mean that fact that this universe doesn’t behave like one built on a grid, but instead if you rotate things by a random angle, move them by a random distance, or even put everything on a platform moving uniformly in a random direction, the experiments keep running the same way.
If your hypothesis is that on the particle level the grid is already too coarse-grained so that weird things happen, then particles moving differently in different angles is among those things that should happen. Also, particles behaving differently when they are on a moving platform, such as the planet Earth.
Seems to me you are trying to replace the “infinite precision” by something else, without actually addressing the things that made people assume “infinite precision” in the first place.
I mean that fact that this universe doesn’t behave like one built on a grid, but instead if you rotate things by a random angle, move them by a random distance, or even put everything on a platform moving uniformly in a random direction, the experiments keep running the same way.
If your hypothesis is that on the particle level the grid is already too coarse-grained so that weird things happen, then particles moving differently in different angles is among those things that should happen. Also, particles behaving differently when they are on a moving platform, such as the planet Earth.