Is Pilot Wave Theory in Conflict with the Original Matter Wave Theory?

phyky
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1. v=∇S/m is still discrete? i mean the motion of particle still quanta or continuous?
2. so v is the velocity of the particle(group) or wave(phase velocity)?
3. ∇S can be find by measure the velocity of wave or particle?
4. So the wave is not longer associated with particle (wave particle duality)but guide the particle in the space?
5. the idea contradict his original matter wave theory?
 
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1. Velocity v is continuous.
2. v is the velocity of the particle. (Note, however, that group velocity is a velocity of a wave.)
3. Particle.
4. Wave guides the particle in space.
5. Pilot wave theory is the original de Broglie matter wave theory.

I would also suggest you to read some basics, such as
http://arxiv.org/abs/quant-ph/0611032
 
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. Towards the end of the first lecture for the Qiskit Global Summer School 2025, Foundations of Quantum Mechanics, Olivia Lanes (Global Lead, Content and Education IBM) stated... Source: https://www.physicsforums.com/insights/quantum-entanglement-is-a-kinematic-fact-not-a-dynamical-effect/ by @RUTA
If we release an electron around a positively charged sphere, the initial state of electron is a linear combination of Hydrogen-like states. According to quantum mechanics, evolution of time would not change this initial state because the potential is time independent. However, classically we expect the electron to collide with the sphere. So, it seems that the quantum and classics predict different behaviours!
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