Given productivity increases, the โnaturalโ minimum wage is probably ~$20 per hour.
Iโd not expect to see large disemployment effects in most of the US for any level set below that.
I do agree with economists that the minimum wage can in principle product such effects, just not that it does so at $7.25 an hour, and even if it does so the social benefits by far outweigh the drawbacks.
As a digression, economists drooling over validation by physicists and mathematicians have caused almost as much harm as straight ideology per se. The consequences of inter-academic signaling and prestige hierarchies is under-examined, IMO.