Summary:
About the concept of "moving into a higher dimension" which i hear people say: My idea is that every dimension is already represented for the object, so once an object pops into existence into n dimensions on behalf of the observer, it is fixed indefinitely with those dimensions....
Coined Phrases:
"collapsing the dimension function" obviously a derived phrase (except collapse actually means collapse, literally), but it is analogous to the idea that observing a wavefunction causes a system to emerge from possibilities. Instead of just observing superpositioned particles and establishing a reliable order, observing a particle also establishes its dimensional properties at the same time from a near infinite set of dimensional possibilities, with the moderating factor being the observers dimensional limitation (aka, the highest meaningful dimension the observer can accurately perceive)
Assumptions:
Time is not a spatial dimension, nor a degree of movement. In fact, collapsing the dimension function of an object cuts out time completely.
Viewing an object in your highest dimension is collapsing the wave function of an object without relativism, or time. By the time we are done establishing an object, it has depth. By the time Xr7-9 finally establishes an object, it has trength. The object always had depth, trength, pength and sength, but xr7-9 can only perceive trength as his highest perceivable dimension. (but they are all there, existing as potentialities)
The dimension we are in is always a collapsed dimension function of an object whose dimension is 1 lower (thus, the 3rd dimension is a collapsed dimension function of a 2 dimensional object). So, the third dimension is depth (i guess), but a cube is just an infinite series of squares lined up on an axis called depth. A tetracube is just an infinite series of cubes lines up on an axis called trength. However, viewing the tetracube collapses the dimension function of the object so that all cubes within instantly create one tetracube.
Thus, visualizing a higher dimension can be done by imagining all instances of an object (sans relativism, aka time) like a series of paper dolls. So, a tetracube is all instances of a cube viewed at once, just like a cube is all the squares viewed at once. To do this, take the object and split it apart into all the instances of it, like paper dolls then collapse it back into one object. It is not necessary to know what "all instances are".. just picture as many as you can.. and that will be enough of a symbol meaning "all"
Detail:
It makes more sense to me that every particle in the universe already has the potentiality (or already does) exist in infinite dimensions. But according to quantum theory, the particles do not take a fixed position until the observer observes, aka establishes a system.
So, evolving or moving into a dimension (as some people have mentioned) makes no sense to me. If we collapse the wave function of particles, it is not a far stretch to consider that we also collapse the "dimension function" which i just made up. We just happen to only really need 3.
Another creature could collapse particles to 4,537 dimensions, but their "brains" are wired to understand that many dimensions...
And a note about collapsing: (bare with me)
In my logic, collapsing the dimension function as already stated is collapsing all the instances of an object of a dimension 1 lower. By doing this, you are completely removing the concept of time (aka relativism, because everything is there at once).
When you look at a cube, you are viewing all the possible instances of the squares that makes up the cube *at once*. But this happens automatically, its not something you consciously do. When a 4d person looks at a tetracube, he/she is doing the same thing but with cubes, not squares. Since time (i think) is only the occurrence of observing a particle and causing it to take up a fixed position in space (collapsing the wave function and thus instituting relativism which we perceive as time), then time does not apply when observing an amalgamation of all squares in a cube, or all cubes in a tetracube or all tetracubes in a pentacube. It simply appears as one object. Its easy when we do this for a square or a cube, but the problem we have with tetracubes is that its hard to imagine what all instances of a hammer could be. Or all instances of a block of chewing gum. What we have to do is slow things down and imagine the process as happening in a series of steps instead of all at once.
So, net net...
The dimension we are in (the highest one that we are privy to) is always the collapsed dimension function of a dimension 1 lower. (Collapsing all lines into a square just by observing it for a 2d person. Collapsing all squares into a cube just by observing it for a 3d person. Collapsing all cubes into a tetracube just by observing it for a 4d person. Collaping all tetracubes into a pentacube for a 5d person, etc). And this goes on forever...
It just requires one to observe an object and poof, the highest dimension the viewer can perceive is brought forth. But once brought forth, it is immutable. And that is why we have such a hard time going up into 4d or 5d... because we apply our imagination to what we know of as 3d objects and try to move them up (but these are immutable dimensionally). All attempts to view a 4d object are limited to 3d versions because our dimensional limitation is 3.
If we can somehow find a way to "uncollapse" the dimension we are in, then we'd have to close our eyes (unobserve the cube) and then with the wildest imagination possible, re-establish the object from a set of potentialities and increase your dimensional limitation to 4. You can do this by pretending you are a creature that has this as their limitation, which might mean your going to have to take a couple of hits of acid, or something the like, which i do not condone.