The simplest example is about time - we (humans) have notion of time "entirely" due to the certain properties of our environment in which we have evolved - that there is day/night, Moon phases, seasons, periodical changes (due to rotation of the planet and its motion around the Sun, of course, but this is a very recent discovery).
Now imagine that you are somehow "suspended" in the outer space without any motion relatively to the Sun. What would be your notion of time?
The time of a certain process (a mass in motion) has nothing to do with time of another, completely different process (like radioactive decay) and the notion of some "common, universal time" is just a "creation of the mind" which is very handy and useful but "does not exist in reality".
Ancient Buddhist notions of "emptiness" or "void", and pre-Buddhist (Upanishadic) notions of "everything is mind" (which is wrong, but very close and accurate) are insights to the same "truths".
Your "dimensions" are "primitive concepts" of the same kind. Any coordinate system imposed on so-called "reality" is nothing but a "concept of the mind".)