2017年11月26日星期日

Are Humans Able to See and Understand the Forth Dimension?

Many people who has interests about dimension know this book: Flatland. Written by Edwin A. Abbott decades ago. This book takes the second dimension as a example to describe and explain the features, differences and possible communications between two adjacent dimensions. I do not know what is your feeling after reading this book. But I am pretty sure that I expect some day a higher dimension creature can come to our dimension world and take us into the forth dimension and have a look.

However, I am a little bit worry about if I can see and understand the forth dimension. Or, should I say if humans are able to see and understand the forth dimension. Although there are plenty of explanation on Internet about the ten dimensions, or you can present high dimension with pure mathematical structure. But none of them have the ability to establish a forth dimension image in our heads. Recently, I start trying to find out the possibility of glancing at the forth dimension world.

Considering I have no friend in the forth dimension world, I try to play a role of creature from the third dimension and take a trip to the second dimension. Just like the story in Flatland. The difference is that some presumption will be replaced by my understanding. Here we go.

Today's the second dimension world get a sunny day. Mr. Blue Rectangle and Ms. Orange Circle meet in this flat plane. As the flat plane has no z-axis existed, all the creatures here have no the conception: Height, which means their height are zero. Length and width are understandable to them only. From the higher dimension, I can have a bird view to observe the flat plane and those creatures have no idea about my observation at all. After billions of years of resolution, Mr. BR and Ms. OC have an black eye at the edge of their body. They can see each other in this flat world with the special eye. Why the eye is special? Because of their zero height. In the third dimension, the object is not existed if the height of it is zero. But I have to let the story continue, so, Mr. BR and Ms. OC can see each other. I do not know what looks like in their each other's eye, but let us say they can sense each other with the eye.



In my third dimension world, it is a sunny day as well. But Mr. BR and Ms. OC do not feel any light from my world because z-axis is unknown to them. Can not wait to see the amazing result, I drag Mr. BR into the third dimension and I can see that Mr. BR get lost in his new position. For me, yes, Mr. BR is out of his own flat plane, but for Mr. BR, he just passed through infinite number of other second dimensions which exist in my third dimension world and stopped at another second dimension. At this moment, Ms. OC disappeared in his eye and the sun is gone as well.

I told Mr. BR that he just flied through and saw thousands different planes, and can he see and understand the higher dimension? After a long time thinking, Mr. BR said, what I can see is still a second dimension view and I am glad to realize that there is a high dimension exist but I cannot fully understand it. Mr. BR continued, my body and mind are generated inside the second dimension, my eye can only see the objects inside flat plane and being restricted physically to see those 2D objects. None of us can beyond our physical limitation although you dragged me to in and out so many flat planes which are parts of your third dimension world.



After placing Mr. BR back to his own plane, I asked myself, could I physically change Mr. BR to a 3D object? Bending him or giving him height? Maybe then he is able to feel and see what I can. But in that way, Mr. BR is not Mr.BR anymore.

Now, this story between 3D and 2D can show me some rules here to apply to my question between 3D and 4D world:

  1. Lower dimension creatures are not able to see the real higher dimension world because the physical restrictions.
  2. Lower dimension creatures can try to understand the higher dimension world because a lower dimension world is a part of the higher dimension; But is not possible to fully understand it because there are infinite number of lower dimension worlds are included in a higher dimension space, which means no way to see the whole map.
  3. Higher dimension creatures might not be able to get into any single lower dimension. High dimension objects depend on the combination of lower dimension spaces to exist. Getting into a lower dimension space means throwing a lot of advanced features, which could be impossible.
  4. Higher dimension creatures could understand lower dimensions in theory. However, if there is any kind of living creature or energy over there? Maybe, there is a Mr. BR survives in a practical second dimension.

A little bit disappointed, right? Humans eyes are not designed to see through the third dimension and humans brain can even not fully imagine the higher dimension. What about the computer technology and AI? Considering they are created by humans and can only show the simulated result on a 2D screen, I do not believe they can draw a human understandable forth dimension picture.

Conclusion: Everything in our world are generated by rules of the third dimension. Our universe is included by a higher dimension and includes infinite number of lower dimension worlds. Unfortunately, we have no ability to see and fully understand higher dimensions and can not jump into a lower dimension to see what is happening there in practice. Maybe, the third dimension is the only dimension can be full of lives and lower dimensions are just the fundamental to support it and high dimensions are just high level containers to organize all possible third dimensions in many different ways.