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You're trying to solve the two body problem of an electron and a proton classically including relativistic effects. But we know this is not describing reality,

You're trying to solve the two body problem of an electron and a proton classically including relativistic effects. But we know this is not describing reality, because an electron orbiting a proton should radiate energy in form of electromagnetic waves and quickly collapse into the proton. The orbit of an electron in the ground state is well outside the Schwarzschild radius of the proton. Quantum mechanics successfully explains why the electron does not collapse: because its time evolution is given by the Schrödinger equation. Unlike your idea, it even correctly produces the energy level of the ground state and everything to an astonishing degree. Quantum mechanics is arguably the most correct theory we ever had, so ignoring it and trying to find an alternative approach is extremely unlikely to work. People may start listening if you can also produce the correct energy level of the ground state.

pdonis 2y ago
An electron-proton pair approaching each other will not necessarily form a hydrogen atom by emitting radiation. They could just scatter off each other, and if the impact parameter is large enough, this process could be modeled reasonably well by an analysis using classical relativity. Or, at high enough energy, other particles could be produced, which would require quantum field theory to model.
- XorNot 2y ago
  You can't just reject evidence like this though: electrons orbiting protons don't emit synchrotron radiation. So whatever else you want to the prize, you have to be able to reproduce this result.
  - pdonis 2y ago
    > electrons orbiting protons don't emit synchrotron radiation Not in atoms, no. But I mentioned scattering, which is a different scenario.
    - XorNot 2y ago
      And I have absolutely no idea what you think this explains. Which is the point of physics you know: to convey actionable concepts about the behavior of experiments. Not be cryptic and vague.
      - pdonis 2y ago
        > I have absolutely no idea what you think this explains. It explains the case where an electron and a proton scatter off each other and do not form a bound hydrogen atom.
      - gus_massa 2y ago
        It explains what happens if the electron goes too fast and instead of getting "trapped" it just changes it direction a little.

pdonis 2y ago

An electron-proton pair approaching each other will not necessarily form a hydrogen atom by emitting radiation. They could just scatter off each other, and if the impact parameter is large enough, this process could be modeled reasonably well by an analysis using classical relativity. Or, at high enough energy, other particles could be produced, which would require quantum field theory to model.

XorNot 2y ago
You can't just reject evidence like this though: electrons orbiting protons don't emit synchrotron radiation. So whatever else you want to the prize, you have to be able to reproduce this result.
- pdonis 2y ago
  > electrons orbiting protons don't emit synchrotron radiation Not in atoms, no. But I mentioned scattering, which is a different scenario.
  - XorNot 2y ago
    And I have absolutely no idea what you think this explains. Which is the point of physics you know: to convey actionable concepts about the behavior of experiments. Not be cryptic and vague.
    - pdonis 2y ago
      > I have absolutely no idea what you think this explains. It explains the case where an electron and a proton scatter off each other and do not form a bound hydrogen atom.
    - gus_massa 2y ago
      It explains what happens if the electron goes too fast and instead of getting "trapped" it just changes it direction a little.