View Single Post
direction is dimension
Old
  (#2 (permalink))
AntonioLao
Raider of the lost time
AntonioLao is a name known to allAntonioLao is a name known to allAntonioLao is a name known to all
 
AntonioLao's Avatar
 
Status: Offline
Posts: 5,613
Thanks Given: 790
Thanked 180x in 174 Posts
Join Date: Nov 2003
Rep Power: 80
   
direction is dimension - 03-28-2005, 01:17 PM

each spacetime point is associated with exactly 6 directions (shortest line segment connecting 2 spacetime points). If direction is dimension then a point of spacetime is six-dimensional. But each point can be connected to the infinite other points and these connections are multiple of the 6 shortest ones. if one connection is one dimension then n-point spacetime is n(n-1)/2 dimensions. If there are 100 points of spacetime then this spacetime of 100 points is 4950-dimensional. But organizing into groups of 3's

0-dimension (number of string) = 1 spacetime point.
1-dimension (number of string) = 2 spacetime points (2 ends of a string)
3-dimension (number of string) = 3 spacetime points.
6-dimension (number of string) = 4 spacetime points (tetrahedron)
10-dimension (number of string) = 5 spacetime points.
15-dimension (number of string) = 6 spacetime points.
21-dimension (number of string) = 7 spacetime points.
... ad infinitum

Last edited by AntonioLao : 03-28-2005 at 01:20 PM. Reason: correction
  
Reply With Quote