In one minute

Konstantin Zloshchastiev works within a candidate effective quantum gravity theory built on logarithmic nonlinear quantum mechanics, motivated by astrophysical hints of deviations from classical relativity. He describes radiation that can occur in the physical vacuum itself, such as Cherenkov-type shock waves. He computes their cone angle, flash duration, radiation yield and spectral distribution. Because this vacuum is dispersive, the cone angle differs from one wavelength to another. The radiation yield scales with the square of the vacuum's own energy scale, which is also its instability threshold and natural ultraviolet cutoff. Some results should hold for any Lorentz-violating theory that treats the vacuum as a continuous medium at long wavelengths.

Vacuum Cherenkov effect in logarithmic nonlinear quantum theory