Imagining The 9th Dimension

Imagining the ninth dimension

Let’s talk about the 9th dimension, postulated by first String Theory, which theorizes 10 dimensions, and then M Theory which theorizes 11 dimensions, the details of which i do not even begin to understand.

“One notable feature of String theory and M-theory is that these theories require extra dimensions of spacetime for their mathematical consistency. In string theory, spacetime is ten-dimensional, while in M-theory it is eleven-dimensional. In order to describe real physical phenomena using these theories, one must therefore imagine scenarios in which these extra dimensions would not be observed in experiments.”

I point you to the wonderful blog Imagining The Tenth Dimension, which we are going to pilfer today and which you should totally visit. You want to be walked through the various aspects of these theoretical dimensions? Go here.

Text from above video and from his post Imagining The Ninth Dimension:

“I’ve been saying that the eighth dimension is as far as you need to go for any expressions of matter, while the ninth can only contain information/meme patterns, preferences for one kind of reality over another. How could I arrive at such an ambitious statement?

With my Imagining the Tenth Dimension project, I begin by saying that a point indicates a position in a system. In Imagining the Sixth Dimension, I mentioned that thinking about the set of all possible states for our unique universe would be thinking about our universe’sphase space. In fact, that’s the definition of phase space: a space in which all possible states of a system are represented. I believe there’s a way to apply this thinking to every single dimension – in a sense, a dimension when considered as a “set of all possible states for that dimension” becomes a finite but unbounded hypersphere, and that hypersphere becomes a point in the next dimension up.

If I’m on a boat in the middle of the ocean, I can see a horizon that appears to be the same in every direction. From this I can deduce that there is a slight curvature to the surface of the ocean, which is topologically speaking a 2D plane, and understand that I’m really on a 3D sphere. From the 2D topological perspective, I could head in a specific direction forever, giving me the impression that I was on an infinitely flat surface, but with the added curvature of the third dimension we can see how “apparently infinite” can be equated with “finite but unbounded”.

With the knowledge that it takes a certain amount of “time” for light to reach our eyes, we realize that what we’re seeing around us is not space, but space-time, and that as counter-intuitive as this may seem at first it’s actually impossible for us to see 3D space: we can imagine and use the logic of 3D shapes, but we can only see them from our moving position within 4D space-time.

From our position within 4D space-time, we look out to the furthest reaches and see a cosmological horizon which is the same in all directions. From this we can deduce that there is a slight curvature to space-time, and that we’re really a point moving on the surface of a 5D hypersphere. There are many other indications that our reality comes from the fifth dimension: back in 1921 Einstein accepted this idea as proposed by Kaluza. Holographic universe theories propose that we are an interference pattern projected from the fifth dimension, or from the “edge of the universe” but I disagree with those who say that this edge is far, far away.  Think of it like this: the third dimension is at the “edge” of the second dimension no matter where our imaginary 2D flatlanders are located. In the same way, this “edge” they speak about in holographic universe theories as being at an additional right angle to our space-time reality is not far away, it’s right “here” in the next dimension up, no matter where we are within our space-time reality. And Hugh Everett, even through he didn’t propose extra dimensions with his Many Worlds Interpretation, did propose that the branching universes derived from quantum mechanics occur within a space which is orthogonal (at right angles) to space-time.

Some quantum physicists are fond of saying that extremely unlikely events such as one of us suddenly disappearing from here and reappearing on the moon are allowable within the quantum wave function, but they are so unlikely that they would take longer than the life of the universe to occur. Likewise, Everett talked about how there are branching tree-like structures which are causally connected, and he even allowed for the possibility that some of those branches might fuse back together further down the causal chain, but he was very clear that causality could never be violated – so the universe where dinosaurs never became extinct or JFK was never murdered or where I died in a car crash last year would exist within the universal wave function as described by the Schrödinger equation, but they are now inaccessible from the universe we are currently observing. Those other universes, in a manner of speaking, are beyond the horizon of our 5D probability space, which leads me to conclude that we are a 5D point moving on the surface of a 6D hypersphere.

This sixth dimensional “phase space“, as some have called it, includes all possible versions of our universe, from its beginning to its end. But within that phase space, we never wander off into one of the other universes with different physical laws, because those are in effect “beyond the horizon” of our universe’s phase space, and from this we can deduce that the system representing our universe as a timeless whole is a point on a 7D hypersphere.

From here we are beginning to move into discussions of information flow rather than physical realities, but we’re not all the way there yet.

In his book Just Six Numbers, Sir Martin Rees tells us that we only need to define six “deep forces” to describe our unique universe. Adjusting any one of those parameters by surprisingly small amounts would cause our universe to fall apart as the laws of physics break down. So if our unique universe is located at a position within the multiverse landscape, or constrained by a D7 brane as some string theorists have suggested, then are we moving, or are we stationary on the surface of this 7D hypersphere? There has been some evidence that the basic physical laws of our universe may have been slightly different at the earliest history of our universe, which would indicate that perhaps we have changed our 7D position slightly according to the logic we’re pursuing here. But the idea that there is a certain natural selection occurring at the seventh dimension and beyond also makes sense – if we move too far away from our position, the incredibly delicate balance of forces that allow our universe to exist would collapse, so at nearby positions within this multiverse landscape there might not be universes that cohere into any meaningful structures, but further away another universe completely different from ours could be assembled with its own unique set of intricately connected physical laws and its own unique expression within the sixth dimension and below.

We also talked last entry about how we can imagine a data set of universes within the seventh dimension which would then require the “beyond the horizon” additional degree of freedom of the eighth dimension for us to be able to simultaneously consider other data sets not included within the seventh dimensional one: but to be clear, those data sets could be interchangeable, so this is more of a question of reference frames than it is of some data not being part of the seventh dimension. In that sense, the seventh dimension harkens back to the “garden hose” analogy used by string theorists: it’s useful to imagine that the seventh dimension looks like a straight line, but when we move closer we can see the dimension has the potential for additional twists and turns that are inside the “rolled up tube” that is, topologically speaking, the “plane” of the eighth dimension.

With this project, I’m proposing that the eighth dimension would encompass every possible physical expression of every possible universe. This would even include the extremely unlikely universes that result from oscillating rather than static constants – the degree of freedom to allow such changes would be within the eighth dimension. So no matter what universe we are imagining, we can visualize it as a point on an 8D hypersphere, but in the case of our own universe I suspect that we are not partaking of that additional potential degree of freedom, so we are definitely not moving away from our 7D position within the eighth dimension.

What’s beyond the horizon of the 8D construct we’ve just envisioned? String theorists who talk about there being ten to the power of five hundred possible universes are really describing the different possible shapes the extra dimensions could take. In The Hidden Reality, Brian Greene uses the following image to picture the terrain of possible extra-dimensional shapes: he calls this terrain the Landscape Multiverse (as opposed to the Brane Multiverse, the Quilted Multiverse and so on), and describes how quantum tunnelings through this mountainous string landscape realize every possible form for the extra dimensions in one or another bubble universe. To tie this idea to my approach to visualizing the extra dimensions, the topological “plane” of this landscape is the eighth dimension, and the additional degree of freedom allowing this tunneling to occur would be in the ninth dimension.

So here we are in the ninth dimension. Now we really are into the realm of organizing patterns, or “big picture memes” as I’ve called them in my book, where we are finally fully into the “information” side of the “information equals reality” equation. What caused our particular universe to be selected from out of the sea of potential patterns that roil and froth like quantum foam at the ninth dimension?”