Anyway, in the case of your dream, it's impossible to concieve a sense which we cannot perceive. If someone were describing you some extra sense they had, it would be impossbile for you to understand. "It's kind of like seeing but with an extra dimension." You would think, WHAT??!?!? Therefore, if you experience a sense in a dream that you do not have in real life in a dream, your brain has the ability to concieve this sense, and the only reason that you could possibly not feel it in waking life is that you don't have the physical capability.
So when we see some object in the real world, two processes happen: Our brain changes two 2-dimensional images (or one stereo image) into a 3-dimensional image. (Remember, 3-dimensional doesn't mean all-seeing.)
Allow me to elaborate a bit. I left a lot out of my post because I didn't want to write a book nor does anyone want to read one that is not fact or well based theory. If I am looking at a scene and I take a picture of the scene, it will appear exactly as I saw it (minus the peripheral). So aren't we perceiving a 3D world from a 2D interface that depends on our perspective? So, if someone were to perceiving 4D they would have to do this through a 3D (atleast) interface. Btw, yes of course the 4th dimension of time...My mistake, I was referring to a 4th phsyical dimension. Since we perceive 3 dimensions, we think in 3D with no need for any sort of interface, since we really can't see it. Spatial awareness is a state of mind in which you are constructing the 3D world around you (sort of like a 3D map of your surroundings). For instance, depending where you are in a particular room, you know where certain objects are that are not in your vision. I'm sure you have navigated rooms in your house with no light before with relative ease, unless someone moved something which would conflict with your internal map.
What does it mean to have a 3 dimensional perspective? I see what you mean by 3D not being all seeing, but I will try to explain what I meant (Sorry, I seem to have a hard time conveying my ideas into text). Imagine you lived in a 2 Dimensional world such as a piece of paper. I draw a bunch of lines to simulate walls that you cannot pass through in some sort of maze. You see a bunch of walls and will probably turn into a bunch of dead ends, while I in the 3D world have no problem seeing the maze in its entirety. So, I can see the whole maze with a 2D perspective. What if I had a 3D perspective on a 3D world? Wouldn't I be able to perceive a portion of the world in its entirety just like my internal 3D construction of my surroundings? When I parked the car behind the wall, I got out of the car and peaked over the wall with out physically changing my position. I wish this dream would have been lucid. It was very similar to an out of body sort of experience that is associated with a number of different drugs, such as ketamine (I realize these are hallucinations).
As for perceiving a 4th physical dimension in a dream, you are correct. How can one perceive something they cannot conceive? To this end, I say...... Well shit . :::Spaces out into theoretical brain storm::: I will fight to keep the possibility alive since it is in my sig. Caution: theoretical tangent. Feel free to skip.
-First, in order to accomplish this, a 4th dimension must truly exist . It is not merely enough to have an understanding of what it may look like in our RL perspective. I feel I have a decent understanding of how a perceived 4th dimension would affect my RL perception. But this is only an idea, and to experience this in a dream would only be a clever trick of my imagination.
-Second, I would have to possess some sort of subconcious knowledge of the fourth dimension that I do not have conciouss access to. This may sound like a long shot, but considering we dont know what the universe is made of and the fact that we have some sort of perspective at all is quite amazing in itself. Let alone that our brain constructs the physical world instantaneously****. Turns out, our brain does subconcious math too...
http://youtube.com/watch?v=UqLzoiVzEY8
This savant reads his subconciousness through a form of syneasthesia (sp?). He pretty much experiences numbers as landscapes... wtf?! He explains how he does the math toward the end of the video. To think I have taken math all the way to calc III, and my brain has it already programmed somewhere in my head...what a waste.
The first three dimensions are all really the same and can be interchanged depending which plane you're on. So in terms of the first three dimensions, all of it is being made up in our minds all the time. The fourth dimension that we can perceive, time, is also being made up and interpreted in our minds. Everyone has a different internal clock, and its less easy to train our sense of time than our sense of space.
Since we're making this all up all the time, it should be easy to make it up in dreams. Perhaps the above statement about time explains why people often have trouble perceiving time in lucid dreams. It's one of our less-developed abilities.
Someone's sense of time depends on how much they are really into their life, right? If someone zones out alot and loses focus of the world, they're surely not aware of time. Maybe awareness is truly the thing we're missing. After all, beginning lucid dreamers often have trouble with time in their dreams and advanced dreamers have sometimes reported extremely long dreams. Maybe the reason these dreams are so long is because the person is so aware that each second is longer for them in a dream, where they can control their environment.
This is so true (in RL anyway). According to a quite knowledgeable member of this site, O'nus, the part of the brain that is active during conciousness is not active during sleep which contradicts your theory. He says that experiencing a dream is merely a realistic recollection of memory and that it does not take affect in real time. Since this idea also contradicts/complicates lucidity, all I can say is that this is an area in which I have much to learn/research. Personally, I believe your idea has some true merit. Great athletes probably experience a slightly slower second. This but it is not something that you can change, but everything changes ina dream!. I had ideas like that since I was around 10. I remember trying to explain it to my mom. It is could be said about every kind of perception. For example color... Everyone will agree that blue is blue. There is no other way to describe it. I could experience it in the same way someone else experiences green, but I could never prove it either way. I call this the paradox of perception. My mom never got it.
If you want to train your spatial awareness, maybe practice a sport, and be aware of what's around you there.
True, but wouldn't you only be helping your thought in 2 dimensions. If you've ever seen a play drawn out on a board you are looking at it from a top view because up and down does not matter. This is where I got the the pilot example from , but your idea may have more impact than I originally thought. A pilot (fighter pilot in particular) must maneuver through 3D space to get behind his enemies position. Though in a sport, you are aware of more detailed 3D objects on a virtually 2D plane. However, the pilot's opponent's
shape is constant and irrelevant. The question is, does it make any difference?
I must apologize about the length. As I stated earlier, typing out my ideas into text usually make it hard to follow. My sentences seem to run on and my descriptions tend to be quite ambiguous. Btw, that site looks like an interesting read. I will check it out tomorrow, it is a bit late 
Sweet dreams.
****Turns out the computation is not instantaneous, but there is an explanation for why it gives the illusion that it is. PM me if anyone actually cares to know.
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