What do you mean by 'multi-dimensional'?

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In summary: They are their own dimensions. :smile:In summary, extra dimensions are hypothesized to exist, and they are much smaller than the dimensions we know of (space, time, and the four dimensions we call "THE FOUR").
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upkiran
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What do you mean by 'multi-dimensional'?
 
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  • #2
Welcome to PF!

Hi upkiran ! Welcome to PF! :smile:

"multi-dimensional" simply means that a space has more than one dimension.

What is the context? Does this come from a particular book?
 
  • #3


Hi..

I want to know how do you realize multi dimensions. For example when you say that a tesseract is a 4-D object how do you expain its dimensions. what is the base to constructing a tesseract?
 
  • #4
hmm … what's a tesseract? :rolleyes:

ah … one of those … http://en.wikipedia.org/wiki/Tesseract" [Broken].

ok … you can "draw" a 3D version of a tesseract (eg the http://en.wikipedia.org/wiki/File:Schlegel_wireframe_8-cell.png" [Broken])

but like a 2D copy of a cube, you lose some information.

In a 2D copy of a cube, some of the lines intersect (in 3D they don't), and the angles between the faces aren't 90º.

Similarly, in a 3D version of a tesseract, some of the faces intersect (in 4D they don't), and some of the angles aren't 90º.

Four dimensions are the minimum necessary to have all the angles 90º, and to have none of the faces or "hyperfaces" intersecting where they shouldn't. :smile:
 
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  • #5


In spacetime you need 4 dimensions to define a position - 3 spatial and one of time. Extra dimensions, mainly spacial, are posited by string theory. The need for these extra dimensions is controversial and no observational evidence for their existence has yet emerged.
 
  • #6


Hi...

Ok now let's go a step further... Consider an object said to have more than 4 dimensions... If space and time constitute four of these dimensions how would you describe the remaining dimensions?
 
  • #7
You just call them "extra dimensions". :smile:

(you can give them names if you like … but "what's in a name?" :wink:)
 
  • #8


The name is not important...

I was talking about its existence or characteristics... i mean any dimension other than "THE FOUR" are said to be of the order of Planck length, right.. If so can't those dimensions be explained using only the x,y,z and t coordinates?
 
  • #9
No, they have nothing to do with the x,y,z and t dimensions.

(just like t has nothing to do with the x,y and z dimensions :wink:)
 

1. What does it mean for something to be "multi-dimensional"?

"Multi-dimensional" refers to a concept or object that exists or can be described in more than three dimensions. This means that in addition to the three dimensions of length, width, and height, there are additional dimensions that cannot be perceived by our senses.

2. How many dimensions are there in the universe?

The exact number of dimensions in the universe is still a topic of debate in the scientific community. Some theories suggest there may be up to 11 dimensions, while others propose an infinite number of dimensions. However, we can only perceive and interact with the three dimensions of space and one dimension of time.

3. What are some examples of multi-dimensional objects?

Some examples of multi-dimensional objects include a tesseract (a four-dimensional cube), a Klein bottle (a surface with no inside or outside), and a Mobius strip (a surface with only one side). These objects cannot be fully visualized in our three-dimensional world but can be represented mathematically.

4. How do scientists study multi-dimensional concepts?

Scientists use various mathematical and theoretical models to study multi-dimensional concepts. They also use experiments, simulations, and observations to gather evidence and test predictions about the nature of multi-dimensional phenomena.

5. What are some practical applications of understanding multi-dimensional concepts?

Understanding multi-dimensional concepts has numerous practical applications in fields such as physics, mathematics, and computer science. For example, multi-dimensional models are used in string theory to explain the fundamental nature of the universe, and in computer graphics to create realistic 3D images. Additionally, understanding multi-dimensional concepts can lead to advancements in technology and innovation.

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