Gödel and Time

$\mathrm{LL}$ cosmological solutions with non-vanishing density of matter known at present ${ }^1$ have the common property that, in a certain sense, they contain an “absolute” time coordinate, ${ }^2$ owing to the fact that there exists a one-parametric system of three-spaces everywhere orthogonal on the world lines of matter. It is easily seen that the non-existence of such a system of three-spaces is equivalent with a rotation of matter relative to the compass of inertia. In this paper I am proposing a solution (with a cosmological term $\neq 0$ ) which exhibits such a rotation.

Kurt Gödel, Institute for Advanced Study, Princeton, New Jersey

Gödel circumvented the light-speed barrier by suggesting that a fast-spinning object could distort space and time, making their properties coalesce. At sufficiently high spins, returning to the starting point in space would coincide with returning in time. The limitation of Gödel’s concept is its reliance on a spinning universe, a condition not supported by current evidence. But, who knows if such a place exists.


Gödel, K. (1949). An example of a new type of cosmological solutions of Einstein’s field equations of gravitation. Reviews of modern physics, 21(3), 447.