My answer is more specific to painting, as that is the medium I’ve used the most when thinking of abstraction. Also nothing I say is set in stone. It is merely for consideration until I’ve learned more and can apply it to the idea later.
I like abstract art. For me it is more difficult and challenging than when I work in figure or landscape, because I’m really delving inward and exploring a vast expanse of what I am, the ifinite possibilities of what I can be, and all that is possible outside of that. At the same time, the concepts that I consider exponentially grow upon the interconnectivity of all other personal meaning when I try to apply my own differing perspectives and the potential perspectives of those viewing my work upon it’s eventual outcome. Something like the cubist approach to one’s inner self with a potential that is limited only by one’s ability to develop upon it. I think the painting is then given the opportunity to transcend past the second dimensional paint on the third dimensional canvas and into the higher dimensions where shared thought could be allowed to exist between the artist, the viewer, and everything else that is incorporated neither in nor out of that potential oneness. I could probably fill a book with the rest of the thoughts I’ve had on this.