Minkowski Space-Time

Today I've begun to study Minkowski Space-Time. Fig.1. Following the inspiration, I referred the pages of fig.2 and fig.3 at first. Fig.2. Fig.3. fig.5.0. my Hilbert space study. Fig.5.1. my Hilbert space study. Fig.5.2. my Hilbert space study. Fig.5.3. my Hilbert space study. Fig.5.4. my Hilbert space study. Fig.5.5. my Hilbert space study. Fig.5.6. my Hilbert space study. Fig.5.7. my Hilbert space study. {frequency in U* <- 0}\{projected space m}, cf. imaginary time in the