Following Prof. Leonard Susskind's Lectures on Cosmology, we stated that the Universe, as we know it, seems to be electrically neutral, from where we catch some consequences of it.
This simple statement makes sense to me but I also wonder: do we have any big proof or experimental results that support it? e.g., if it wouldn't be the case, we would see electromagnetic fields shifting emission lines due to Zeeman/Stark effect.