10 problems

Low's conjecture. Events $x,y\in X$ are causally related if and only if their skies $S_x,S_y$ are linked in $\mathcal N_X$.

Intrinsic flat convergence conjecture. Under these assumptions,

Let the spacetime be $(3+1)$-dimensional and globally hyperbolic, with a Cauchy surface homeomorphic to $\mathbb{R}^3$. The skies of events are viewed as Legendrian links in the re…

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

Allen–Swenberg's conjecture. The Jones polynomial should be sufficient to detect whether the skies $S_x$ and $S_y$ are linked, and hence to detect causality.

Let $(M,\mathrm{g})$ be an orientable $4$-dimensional globally hyperbolic Lorentzian manifold with an orthogonal decomposition of its tangent bundle $TM=N_\star\oplus N$, where $N$…

Let a globally hyperbolic spacetime be given, and consider the two Proca Hadamard-state conditions referred to as Definition and Definition. Equivalence conjecture. The two definit…

Asymptotically flat paracausality conjecture. If

Paracausal equivalence conjecture.

Cauchy–BTZ extension maximality conjecture. The manifold $M_3$ is both Cauchy-maximal and BTZ-maximal.