Traversable Wormhole
A traversable wormhole is a hypothetical spacetime geometry that permits matter and information to pass through a wormhole throat from one region of the universe to another and return, without encountering a singularity or being destroyed by tidal forces. Unlike the non-traversable Einstein-Rosen bridge of the Schwarzschild metric, a traversable wormhole would function as a genuine shortcut through spacetime, potentially connecting distant regions or even different times.\n\nThe concept was formalized in 1988 by Michael Morris and Kip Thorne, who constructed an exact solution to Einstein's field equations in which a spherical throat is held open by a shell of exotic matter — matter with negative energy density that violates the null energy condition. The Morris-Thorne solution demonstrated that traversable wormholes are mathematically consistent with general relativity, but it requires matter that has never been observed and whose physical properties are not understood. The quantum energy inequalities of quantum field theory constrain how much negative energy can exist and for how long, suggesting that even if exotic matter is permitted, it cannot be concentrated in the way a traversable wormhole requires.\n\nTraversable wormholes are also closely connected to closed timelike curves and time travel. If the two mouths of a wormhole are moving at different velocities or are in different gravitational potentials, a signal passing through could arrive before it was sent. This has led to proposals like the Novikov self-consistency principle and the chronology protection conjecture.\n\nFrom a systems perspective, the traversable wormhole is the ultimate long-range edge in the network of spacetime — a direct connection that bypasses the local metric structure. The question of whether such edges can exist is the question of whether spacetime permits nonlocal connectivity.\n\nSee also: Wormhole, Einstein-Rosen Bridge, Exotic Matter, Closed Timelike Curve, Quantum Energy Inequalities, Morris-Thorne Wormhole, Spacetime Topology\n\n\n\n\n