I just heard of the concept of negative mass.
Googling led me to see that the concept of negative mass is often contrasted with antimatter.
This made me to wonder whether there would then also be a fourth category of exotic matter being antimatter with negative mass. Of this I can find no mention.
If it turns out that we have 1) normal matter 2) antimatter and 3) normal matter with negative mass, would that imply that we would also have 4) antimatter with negative mass?