### Singularity and Space-Time

My conjecture is that the space-time universe is enclosed within the proposed singularity. If we see space-time as discrete and if in every period the real value hits 0, then we may conclude that space-time is spread over singularity, like a web. Then again, we have assumed that the singularity is zero size. How are we going to imagine a web spreading over zero? We may find the answer if we take X coordinate to denote space dimension. At zero point value of space is zero. space is not defined in singularity. Assertion S1 (in the section “Singularity”) denotes that singularity is a separate entity. We are talking about two separate domains.

In the enclosed universe scenario, singularity has to have an internal dimension, which runs contrary to our original assumption. When explaining this idea, choosing a metaphor to explain what happens is challenging. We might be tempted to say that our universe dissolves in singularity. However, “dissolve” is not the right word. Nor does the word “overlap” accurately describe what is happening. How then can I suggest that space and time is, in a way, embedded in singularity, as is all matter and everything else that exists in our universe?

If we cannot expect singularity to have dimension, then we have to depart from objective thinking as our only tool. Next we must let our mind’s eye see an extra arena adjunct to the universe, one that appears in our imagination. Can this analogy guide us to the realization that the universe can intermingle with a 0-dimensional entity (mind itself). One can also argue that singularity is a point, because we are not comparing it with anything of its kind, in its own domain. Trying to assess the singularity with space-time parameters is wrong. However, we need to elaborate more about the elation of these two separate entities.

The definition of singularity presented in these articles raises a new series of questions and concerns: If singularity is a mathematical point, how can our enormous space-time universe grow inside it?

For the sake of argument, one can look at the image of a three-dimensional object in a zero dimension (0).

The above diagram shows that the image of a three-dimensional object in a two-dimensional world (book page, computer monitor) would be reduced to a series of lines that provides the illusion of a 3-D cube. That same image in a one-dimensional world (X-axis) is just a line, and in a zero-dimensional world (zero point), the image would coincide with zero. No matter how big the object is, its image in 0 has no size. In other words, “no-dimension” (0) can accommodate the image of any size object. Here, we can deduce that tangible qualities of things cannot exist in singularity, but their image does.

The physical reality of the above can be seen in holography. In holography, a two-dimensional picture can contain all the information of a three-dimensional object. Even a tiny fragment of the 2-D holographic plate contains enough information to reconstruct the whole 3-D image of the object.

Leonard Susskind and Gerard ‘t Hooft have stretched the holographic principle even further by exploring the possibility that the objective universe is the projected image of the data which exist in the two dimensional boundaries of the universe.

The algebraic can be written as “any number times zero equals zero,” or,

X × 0 = 0

If we couple any number with zero, the result is still zero. This simple equation can lead us to a deeper concept.

"Be yeki naghsh bar in khako, bar an nagsh degar, Dar behesht abadio shekarestan mano to"

In one mold we are in earth, but in another mold, You and I are in an infinite sweet paradise

—Rumi ^{[3]}

Where are we going to find the singularity? Where are the boundaries of space-time? One can further speculate, if space-time universe is expanding, does it crystallize and push the singularity away?

To make this concept more tangible and objective, imagine that you are looking at a piece of sponge at different magnifications. First, we see the roughness of the surface. By increasing the magnification, we can also see empty holes in between. At this point we can claim that the sponge is perforated by many empty holes. Nevertheless this is not an ideal analogy for the correlation of singularity and space-time, because empty space requires dimensions whereas the proposed singularity does not possess any dimension. Perhaps the best way to analogize this concept is to imagine the sponge immersed in an infinite entity that cannot be measured or understood with existing axioms. On the basis of the above arguments, we may conclude that in the gaps between space-time webs, we are faced with the 0-dimensional singularity.