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What are "the others"? Non-matter? Anti-matter? Non-Dark Matter? Matter is well defined by Einstein's equivalence principle: E=Mc^2, but what are "the others" it is interacting with?
"Dark matter interacts through gravity but not light"? What is implied here?? I would argue that more accurately, dark matter is observable through gravitational anomalies, which has nothing to do with interacting with anything, including gravity or light.
Just because it is called "dark matter" doesn't necessarily imply that it has anything at all to do with "matter". Presuming that the term "dark matter" would be analogous to "matter" in some theoretical way, and therefore must exist in our universe in a corresponding "anti-dark matter" theoretical way, would be removed from the process of scientific exploration or critical thinking, since that is not how dark matter has been observed in our universe.
The descriptive words humans have devised to describe our reality are just that, human derived. Matter, anti-matter, and dark matter exist regardless of whatever names humans have assigned to them. Just because 'anti-matter' exists in our scientific lexicon (having observable traits) as a word implying the 'opposite properties of matter' means nothing about the observable properties of 'anti-dark matter' whether it exists or not. The fact that we do not even have any ability, scientifically, to observe the actual properties of dark matter within our scientific understanding of reality at this time implies that no, 'anti-dark matter' doesn't exists, presumably only until someone observes or predicts it. Arguing that 'anti-dark matter' exists on the basis that 'anti-matter' exists simply ignores the scientific method.