English

Superposition of states in quantum theory

General Physics 2026-01-09 v1

Abstract

The most general mathematical law for summing bounded quantities is not the arithmetic law, but a composition law of which the summation law for velocities in special relativity is only one particular example. We believe that this composition law, should also be used in quantum theory. We present it with a few examples, we discuss its physical meaning and we show how it can be useful in quantum theory. We show in particular that its use may open the way for a new interpretation of the use of probabilities in quantum theory.

Keywords

Cite

@article{arxiv.2601.04248,
  title  = {Superposition of states in quantum theory},
  author = {J. -M. Vigoureux},
  journal= {arXiv preprint arXiv:2601.04248},
  year   = {2026}
}

Comments

13 pages, 4 figures