Good Day,
Stick-Paul has decided to give you, his adoring and unworthy fans, a little introduction to what he calls the "Dimensional Problem". He gave me some notes of his, and asked me to summarize them and post them for you.
Here is the main idea: There are either an infinite number, or a significant number of universes. They are arranged in a theoretical sphere (not a real sphere, as each dimension is infinitely expansive, having no spatial restrictions). The more dimensions a universe possesses, the "closer" it is to the center of the sphere. The things that each universe seems to have in common with the others are space and time.
The universe that you and I live in, for example, is three-dimensional (really four-dimensional, but the time constant is left out as it effects all the other dimensions equally within the boundaries of this universe). It has no spacial limits within its realm, but is wholly dependent upon the relationship between each of its dimensions and time (
T).
Stick-Paul's dimension is different. It is two-dimensional (really three-dimensional, having two spatial dimensions and
T, which interacts with each of the two spatial dimensions equally.
The universes seem to be aligned according to the number of dimensions of space possessed. The universe on the outermost layer of the sphere has, in theory, one dimension and
T. This is an assumption that is made on the basis that all observable universes (those that can be detected and/or visited) are known to have
T. There are those in Stick-Paul's universe, he says, who believe that there is one further universe, encompassing all of the observable universes, in which
T is the only dimension present. A massless universe is a useful tool when describing phenomenon in all universes. This leads us to the interaction between different universes.
To explain the interactions I will use the following picture. Please refer back to it if you cannot visualize what is written.
Universe
A is the universe with only
T. Universe
B is the universe with a single spatial dimension and
T. These two universes occupy, theoretically, the same dimension
T, but have different spatial properties (universe
A possessing no spatial properties whatsoever). Their interaction (
a), then, is along the dimensions that they share, and so,
A is affected by
B in one dimension, and
vv., since they share only
T.
b-d (the interaction between
B, which possesses one spatial dimension and
T, and
E, which possesses four spatial dimensions and
T) would have an interactive factor of two dimensions, because that is the number of dimensions which
B and
E share. The higher the number of dimensions a universe possesses, the greater the factor of interaction it has with its neighbour universes.
Thus,
e (of
E,F) would have an interactive factor of five, since
E, the universe with fewer dimensions, possesses that number of total dimensions including
T.
f-g would have an interactive factor of six because of the spatial properties of its participating universes. Universe
A and universe
Z (regardless of how many dimensions
Z possesses) would have an interactive factor of one.
Thus, in our universe we should be able to observe the interaction of our universe (
D) with
A at an interactive factor of one, with
C (Stick-Paul's universe) at an interactive factor of three, and with all of the universes toward the center of the theoretical sphere at an interactive factor equivalent to the nimber of dimensions possessed by
D (four). This is, though we have not been able to see it as true, just the case.
Now, according to Stick-Paul, there is a serious problem with this scenario if one is to assume that because the universes interact in a dimension, the matter of these dimensions in the respective universes interact (extra-universally) in the same way that matter would interact within a single universe (intra-universally). Stick-Paul points out that this assumption would lead to side-affects termed "dimensional infraction" and "dimensional compaction", in which the matter of all the universes would either overlap and be drawn into and effectively static condition by the restrictions placed on it by the matter of the universe with the fewest dimensions, or it would the matter of all universes would be thrown about chaotically by the forces of the matter in the other universes, possibly, according to some calculations, leaving all universes in plasmodic states.
As an alternative to theories which make this assumption, Stick-Paul has proposed (and taken advantage of) a view of the interaction of matter between universes that is much more reasonable. He proposes that the matter of
B interacts with the matter of universe
C in the form of dark energy, or the deprivation of energy, in much the same way a shadow interacts with the ground.
There is a very long explanation of this in Stick-Paul's notes, but since even I understand next to none of it, it would be difficult for me to discuss it here with any level of competence. He does have a summary of it here, however, that is much simpler, though still not in layman's terms. It says that the "shadow" has numerous properties which our universe has observed in what we call "dark matter". It has other properties that we have placed in other categories, such as the seeming multiplication of dimensions, and a mysterious loss of energy. I find that fascinating personally.
As for travel between universes, Stick-Paul writes: Matter passes from universe to universe through natural tears in
T. Black-holes are the effects of these tears. Matter, however, seems to only be capable of passing from a simple universe, with fewer dimensions, to a complex universe, with more dimensions in the form of energy. The natural decay of all universes that results may point to
T being finite, but that is another discussion altogether. Adding a dimension to the matter of the simple universe can artificially effect the passing of matter from simple to complex. This process is one of Stick-Paul's guarded secrets, and although he trusts me explicitly I'm sure, he does not discuss it, nor does he have it written anywhere. This process can be reversed (though the reversal has not been witnessed in nature), so that matter from complex universes can pass into a simpler universe by shedding a dimension from the matter.
The whole thing is quite overwhelming, particularly when looking at it in the context of Stick-Paul's notes, which are extensive. There are so many determining factors involved in every little speculation, that I would be definitely tossed for a loop if Stick-Paul had not explained it to me personally. So, don't worry about not understanding it fully, or at all... that lack of knowledge probably won't affect your diet much.
Stick-Paul hoped you, his adoring and unworthy fans, would enjoy this little exploration. For all you math wizzes out there... try to work these problems out yourselves. I could even pass them on to Stick-paul if you wanted to send it to me in an e-mail entitled "Math for Stick-Paul", and be sure to label it all clearly so that Stick-Paul doesn't have to figure out your short-hand while he's reading your material. He's always open to new ways of thinking of things, as long as they make sense, so don't be afraid to give it a shot. You never know, he may e-mail you back if your calculations are of significant worth to him.
Aloofly,
Stick-Paul's manager.