Complex Plane Dimension Number

  • #1
Terry Giblin
167
0
What dimension between space-time and 11 Dimensions is allocated to the complex plane 'visualized' and used in complex number theory?

Complex numbers are used in every branch of maths and physics, based on an imaginary complex plane, z = x +iy where y is an imaginary axis and i^2=-1. - It's another Dimension, the imaginary '5th' dimension.

In the current theories, what is name or number of is this dimension apart from the obvious 'imaginary dimension' - what number is it given?

Regards

Terry Giblin
 

Answers and Replies

  • #2
Antiphon
1,683
3
You seem to be mixing up several concepts in physics and mathematics
that are different.

To properly visualize a complex function like [tex] f(z) = z^\frac{2}{3} [/tex],
you would like 4 dimensions because the domain of the function is two-dimensions
and so is the range. This can't be done easily, so people usually plot |f(z)| which
is a scalar against z which is two dimensional. The result is a three-dimensional
surface plot.
 
  • #3
mathman
Science Advisor
8,078
547
What dimension between space-time and 11 Dimensions is allocated to the complex plane 'visualized' and used in complex number theory?
You are mixing up two different (although similar in some ways) concepts. The 11 dimensions of brane theory are physical dimensions, like space and time. The complex plane is a mathematical abstraction. One obvious difference is that for physical dimensions the numbers are in units of length or time, which can be changed (like from feet to meters). The numbers in the complex plane are absolute, e.g. 1 is 1 and nothing else - there is no concept of feet or seconds.
 

Suggested for: Complex Plane Dimension Number

  • Last Post
Replies
2
Views
374
  • Last Post
Replies
13
Views
889
Replies
8
Views
242
Replies
2
Views
396
  • Last Post
2
Replies
38
Views
2K
Replies
2
Views
290
Replies
5
Views
795
  • Last Post
Replies
1
Views
434
Replies
0
Views
216
Replies
13
Views
2K
Top