This is an excellent observation.ArjenDijksman said:Simplifying physics is no easy task, especially for smart people who are rapid at learning complicated physics.
But it is way better if we simplify things and improve rigour. A simple example is to stop considering quantum particles as point objects while they are in fact better represented by vectors, mathematical objects with spatial extension. So by considering quantum particles as arrow-like objects, we gain in physical and hence mathematical rigour.zetafunction said:we could simplify things but ignoring mathematical rigour ;D
The pilot wave theory is an interpretation of quantum mechanics that proposes that particles have definite positions and follow definite trajectories, guided by a "pilot wave" that determines their behavior. This theory was first proposed by Louis de Broglie in the 1920s and has been further developed by David Bohm and others.
The pilot wave theory differs from other interpretations of quantum mechanics, such as the Copenhagen interpretation, by rejecting the idea of wavefunction collapse. In the pilot wave theory, particles have definite positions at all times and do not randomly "collapse" into a single state when observed.
The main argument against the pilot wave theory by Motl is that it violates the principle of locality. According to this principle, particles can only interact with each other if they are in each other's immediate vicinity. However, in the pilot wave theory, the pilot wave interacts with particles at a distance, which Motl argues is a violation of locality.
Defenders of the pilot wave theory argue that while it may seem to violate the principle of locality, it actually maintains a local and deterministic description of particles. The pilot wave is not a physical entity, but rather a mathematical tool that guides the particles' behavior. It does not transmit any information or energy, so it does not violate the principle of locality.
If the pilot wave theory is proven to be correct, it would provide a more intuitive and deterministic understanding of quantum mechanics. It would also have implications for fields such as quantum computing and cosmology, as it could potentially resolve some of the paradoxes and mysteries surrounding these areas. However, more research and evidence are needed to fully validate the pilot wave theory.