| 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
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