It's not that it doesn't make sense in words, it's more that it isn't something we can intuitively understand. Basic physics is intuitive. Advanced physics is much less intuitive but you can sort-of get it if you use analogies to things that are understandable. Truly advanced physics is so far removed from the world we experience that you just have to trust the math.

IMO, everything being a wave is not quite pure math territory. Things like constructive and destructive interference are ideas you can understand using water waves or sound, so when concepts are explained in those terms you can sort-of get it. But, things like electron spin or quark flavours are things you just have to accept.