Last night I had a lightning strike nearby and one of two displays blanked for a second. It's behind a UPS and a good surge protector. Likely some EMI/RFI getting into the power and/or display cable of the monitor itself, toppling digital circuits in the panel and waking up the watch dog. The same display has also blanked in the infrequent case where I've discharged static on the mouse: the cables are all parallel, so they'll couple and bounce the panel ground plane, with the same outcome.

These devices are built to the edge of performance margins. Throw in some high voltage transients and things flip out. I think displays are particularly susceptible due to long cables, large surface area and unavoidable shape of common displays: they're effectively patch antennas.

The furniture static case is amusing: I imagine some foam cushions can cause millions of tiny static discharges in parallel when they expand. This will flow through the metal stand to "ground" and probably make a VHF range RFI spike (based on the size of a typical chair frame.) Common 24-27" display panel geometry just happens to be in the same neighborhood...

Adding ferrites to cables, as I see suggested several times, might help. You could also get unlucky and make it worse: choke a line to just the right length an it becomes a better inductor/antenna. Electricity is fun.