Common tangent space \({\mathbb{R}}^ 4_ 1\) from U(2) charges (Q1122170)

The author undertakes an ambitious attempt to realize Einstein's old idea of adopting the notion of electric charge as the basic one for quantum theory. In particular, he tries to show that the space-time can be constructed as a secondary object in what he called the U(2) charge model (``hidden U(2) world''). Unfortunately, it is rather difficult to follow his arguments. The paper is full of undefined notions with completely unclear relations between them, not to speak about their relation to physical reality. To get the flavour of what kind of reasoning is used in the paper let us quote the explanation of the importance of symmetry in quantum physics: ``We can conclude from local elements to the individual wholeness only if the individuals have symmetries and if their symmetries are contained in their local elements.'' The paper also contains some rather standard mathematics: quaternions, Clifford algebras, spinors and their relation to orthogonal group or geometry of U(2) group. However, this mathematics is used in the way that can hardly be appreciated by physicists.