Observability and Mathematics

9 Observability and mass gap in special relativity

This chapter contains fragments of material previously published with the copyright holder Academic Publications (see book [7]), crediting it as open access source.

The main problems of contemporary Yang–Mills theory are described in the article [6].

Lorentz transformation in classic mathematics and Mathematics with Observers

For the relative orientation of the coordinate systems K and ${\mathit{K}}^{\prime }$, the x-axes of both systems permanently coincide. In the present case, we consider only events which are localized on the x-axis. Any such event is represented with respect to the coordinate system K by the abscissa x and time t, and with respect to the system ${\mathit{K}}^{\prime }$ by the abscissa ${\mathit{x}}^{\prime }$ and time ${\mathit{t}}^{\prime }$, when x