The construction of quantum mechanics from electromagnetism. Part II: the Hydrogen atom

TL;DR

This paper extends a previously constructed quantum mechanics framework to the hydrogen atom, providing a systematic, analogy-free description of electron-proton interactions that challenges conventional quantum theory and addresses measurement paradoxes.

Contribution

It offers a novel, analogy-free derivation of hydrogen atom quantum mechanics that surpasses traditional approaches and clarifies measurement issues.

Findings

Systematic description of electron-proton interaction in hydrogen

Supersedes conventional quantum mechanics equations

Addresses measurement paradoxes in quantum theory

Abstract

In Part I we constructed the Quantum Mechanics of a charged unitary entity and prescribed the form in which such a particle interacts with other charged particles and matter in general. In this second part we extend the description to the hydrogen atom testing the correctness and accuracy of the general description. The relation between electron and proton in the atom is described systematically in a construction that is free from analogies or ad-hoc derivations and it supersedes conventional Quantum Mechanics (whose equations linked to measurements can be recovered). We briefly discuss why the concept of isolation built in Schr\"odinger's time evolution is not acceptable and how it immediately results in the well known measurement paradoxes of quantum mechanics. We also discuss the epistemic grounds of the development as well as those of conventional Quantum Mechanics.