- #1
kakarukeys
- 190
- 0
It seems to me that Loop Quantum Gravity has already ruled out the possibility that the spacetime could be a manifold like S^4, by making the assumption that the tangent bundle is trivial, or M = R x Sigma. TS^4 is non-trivial implies we cannot find a basis of tetrad fields that span the module of vector fields (hairy ball theorem), hence there is no LQG theory. Any opinion?