I asked a related question: How hard is it to fly with night vision goggles?
It appears from the answers so far that there are differing opinions, and I guess it might depend on the quality/age/capability of the equipment.
If someone was flying non-commercially (Part 91), Private Pilot (or higher) and it was VFR flight, if the pilot owned a pair of The ANVIS 9, Aviator Night Vision Goggles, Model M949, for example, could they legally fly around with them in their own airplane at night (and be acting as Pilot-In-Command)?
(Assume that they are a safe, prudent aviator, and took efforts to properly train themselves on the equipment and flew with a safety pilot until they were comfortable in the air with the equipment).
Would it be any different if they were flying IFR (appropriately-rated and on an instrument flight plan)?