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Anamitra
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We consider an spacelike infinitesimal separation [tex]{ds}^{2}[/tex]<0
ds=+ or -ib [an imaginary quantity]
Now I integrate ds along some path from A to B. What happens if the imaginary parts cancel out on integration[if we can manage to cancel them out]?I mean, is it physically significant in any way?
We may have a slight variation of the problem:
Three spacetime points,A B and C lying at the corners of an infinitesimally small triangle are chosen[Of course this triangle does not lie on a flat surface]
ds from A to B=ib
ds from B to C =-ib
ds from A to C via B=0
Now is it possible to locate a direct path from A to C[which is not through C] which gives a null separation?
Is it quite possible that ds may simultaneously correspond to the two types of separation along different paths.
[The paths connecting the points are not straight lines[in general] but are infinitesimally small in length]
ds=+ or -ib [an imaginary quantity]
Now I integrate ds along some path from A to B. What happens if the imaginary parts cancel out on integration[if we can manage to cancel them out]?I mean, is it physically significant in any way?
We may have a slight variation of the problem:
Three spacetime points,A B and C lying at the corners of an infinitesimally small triangle are chosen[Of course this triangle does not lie on a flat surface]
ds from A to B=ib
ds from B to C =-ib
ds from A to C via B=0
Now is it possible to locate a direct path from A to C[which is not through C] which gives a null separation?
Is it quite possible that ds may simultaneously correspond to the two types of separation along different paths.
[The paths connecting the points are not straight lines[in general] but are infinitesimally small in length]
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