- #1
Karlisbad
- 131
- 0
"Hidden variable" in SR and GR Relativity??..
My question is, since we live in a 3-D world, what would happen for an "alien" living on a 4-D world??..if we suppose that space-time has only 4 dimension, and that after a Wick rotation then [tex] X_{0} =it [/tex] then what we think is just a time component for this being would be only an spatial component... then this "being" to describe the evolution and dynamics of its world would need to insert an extra parameter "s" (unphysical??) that we can't see or measure so [tex] X_{\mu}(s)=X_{\mu} [/tex], in this case i think that the "evolution" of a quantity in GR should depend on this "s" and hence:
[tex] g_{ab}(x(s),y(s),z(s),t(s)) [/tex] and [tex] L_{E-H}=\int_{a}^{b}ds\(-g)^{1/2}R(s)ds [/tex]
My question is, since we live in a 3-D world, what would happen for an "alien" living on a 4-D world??..if we suppose that space-time has only 4 dimension, and that after a Wick rotation then [tex] X_{0} =it [/tex] then what we think is just a time component for this being would be only an spatial component... then this "being" to describe the evolution and dynamics of its world would need to insert an extra parameter "s" (unphysical??) that we can't see or measure so [tex] X_{\mu}(s)=X_{\mu} [/tex], in this case i think that the "evolution" of a quantity in GR should depend on this "s" and hence:
[tex] g_{ab}(x(s),y(s),z(s),t(s)) [/tex] and [tex] L_{E-H}=\int_{a}^{b}ds\(-g)^{1/2}R(s)ds [/tex]