To say that a theory is "deeper" means that it is closer to "truth" to some extent, which we cannot quantify. Of course, without knowing what is "real". It is generally believed that a simpler, shorter or "elegant" theory may be closer to "truth". Paul Roeder? S is famous for this mathematical view, and he calls this most elegant proof "book". However, this is only a general view, which may be inspired by Occam's razor and may not be correct in all cases. For example, Newton's gravity theory is certainly simpler and more intuitive than general relativity, but GR is obviously a more accurate model and can better reflect the actual situation of nature.
Having solved these problems, let's go back to quantum physics. The uncertainty of quantum physics has been puzzling many researchers. Perhaps the most famous is Einstein's famous saying: "God does not play dice with the universe." "However, despite a lot of research, as far as I know, there is only one serious candidate deterministic version of quantum physics (that is, a hidden variable theory), which is the guided wave theory, first published by Louis de Broglie, 1927, and then elaborated by David Bohm and others.
Guided wave theory has many "beautiful" characteristics: it reveals the nonlocality implied in the non-relativistic formula of quantum mechanics and uses it to satisfy Bell's theorem. These nonlocal effects conform to the non-communication theorem and prevent them from being used in superluminal communication, so they also conform to the theory of relativity. Unfortunately, no one can use it to establish field theory so far, which seriously limits what we can do with it, but maybe it can be developed in other ways. Time will tell us.
Photo: A pedestrian is in a circular fence. On the left, we can see that the trajectory with increased length is color-coded according to the local velocity of the droplet. On the right is the probability distribution of pedestrian position.