What Is the Physical Meaning of Laplace Equations in Higher Dimensions?

  • Thread starter Thread starter zhanzju
  • Start date Start date
  • Tags Tags
    Laplace Physical
Click For Summary
The discussion explores the physical meaning of Laplace equations in higher dimensions, noting that while their implications in three dimensions are well understood, the significance in higher dimensions remains unclear. Some participants suggest a connection to concepts in relativity and quantum mechanics, particularly regarding the time dimension and the possibility of four spatial dimensions. The conversation highlights the challenge of conceptualizing these equations beyond traditional three-dimensional space. There is an interest in understanding how these mathematical constructs relate to physical phenomena in higher-dimensional frameworks. The inquiry reflects a broader curiosity about the implications of higher-dimensional physics.
zhanzju
Messages
1
Reaction score
0
it's konwn to all that laplace equation in 3 dimentions have clearly physical meaning,how about that in higher dimentions?
I first thought that had something to do with relativity or quantum mechenics with higher dimentions ,but it is hard to figure it out .
can anybody explain that ,thanks a lot
 
Physics news on Phys.org


If you are thinking in term of physical meaning, the only additional dimension that I can imagine is the time dimension. So we have the space-time dimension. Is is possible to have four space dimension ?
 

Similar threads

Graduate Solving Laplace's equation in polar coordinates for specific boundary conditions
  • · Replies 3 ·
Replies
3
Views
3K
Undergrad PDEs: Laplace's Equation over a Parallelogram
  • · Replies 10 ·
Replies
10
Views
3K
A discussion about Fourier and Laplace transforms and calculus
  • · Replies 4 ·
Replies
4
Views
3K
Whittaker's solution and separable variables
  • · Replies 4 ·
Replies
4
Views
2K
Understanding the Intuitive Interpretation of Laplace and Fourier Transforms
  • · Replies 2 ·
Replies
2
Views
3K
Undergrad Heaviside's Operational Calculus and Laplace Transform
  • · Replies 1 ·
Replies
1
Views
4K
Graduate Causality in differential equations
  • · Replies 6 ·
Replies
6
Views
5K
Graduate Triple Product in Laplace Transform
  • · Replies 2 ·
Replies
2
Views
2K
Physical Significance of the Laplace Transform
  • · Replies 31 ·
2
Replies
31
Views
11K
Laplace's equation in two dimensions.
  • · Replies 8 ·
Replies
8
Views
4K