10 problems

Links–Gould polynomial conjecture. The invariant $\mathrm{LG}$ completely captures causality in such spacetimes.

Conjugation quandle detection conjecture. The collection of all conjugation quandles over all dihedral groups is able to detect causality across $(2+1)$ globally hyperbolic spaceti…

Low Conjecture. The skies of causally related points in $X$ are topologically linked.

Jones polynomial conjecture. The Jones polynomial detects causality between any two events in $X$.

Hawking's chronology protection conjecture. The laws of physics do not allow the appearance of closed timelike curves.

Let $(X,g)$ be a causally simple spacetime that can be conformally embedded as an open subset into some globally hyperbolic spacetime $(\widetilde X,\widetilde g)$. Let the space o…

Let $(X,g)$ be a causally simple spacetime. A conformal embedding is an embedding preserving the conformal class of the metric. The conformal embedding conjecture. The spacetime…

Let $(X^{m+1},g)$ be a globally hyperbolic spacetime with $m\geq 2$. Two points are causally related when one lies in the causal future or causal past of the other, and their skies…

Let $(X^{m+1},g)$, $m>1$, be a causally simple spacetime that does not admit a metric $g'$ such that $(X,g')$ is refocussing and causally simple. A Legendrian link is a link formed…

Strict V-causality hierarchy conjecture. For every $k$, there exists a $V^kBox$ which is $V^k$-causal but not $V^{k+1}$-causal.