The attractive force between parallel currents is the magnetic force. The magnetic force exists so that the electric force comports with special relativity: if the electric force existed on its own, then the force on a particle wouldn't transform right from one inertial frame to the other. So now the question becomes why does the electric force exist? The electric force is due to the exchange of photons between charged particles.
P.S. We can go further down the rabbit hole. Why is there a coupling between charged particles and photons in the first place? At some point in physics it's safer to say "Beats me."
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DarioC
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If you want to really get into this you might Google "Quantum electrodynamics."
Wiki is the first reference I got there and will give you a bunch of information that might make your head hurt, but working backward and forward from the information there may be enlightening.
DC
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!
I don't know why the electrons in atoms are considered in the orbitals while they could be in sates which are superpositions of these orbitals? If electrons are in the superposition of these orbitals their energy expectation value is also constant, and the atom seems to be stable!