Nothing That Matters

When in Euclidean Geometry we work with space we talk of three co-ordinates: x, y and z. Geometry is all built up from definition of a point, then leading to a straight line and then to an area and then to a volume. Thus whatever flavour of geometry (polar co-ordinates or Euclidean) is used, we have to use three numbers to define a position in space - and three co-ordinates. Since this very geometry is also used in Models of Space-Time in physics, we call space 3 dimensional. But does each co-ordinate of geometrical space qualifies as "DIMENSION" in the sense of String Theory. Do semantically and conceptually 3 dimensions of space stand on the same footing as other dimensional entities like 'Time' or other curled-up dimensions of String Theory? No! No! definitely NOT!!
The 3 dimensions used to describe space are an inadequacy of our mathematics. In vector representation of space there is no need for three dimensions. The three co-ordinates are isotropic, not a dimension in its own right.
Space should be seen as a single String Theory Dimension, just like Time or any other dimension.
So we should not talk of 10 dimensional String Models but only 8 dimensional ones!!!

Posted by Girish Bhatnagar at 7:19 AM