9 problems

Let $(M,g)$ be a causally simple spacetime, and let $\mathcal{N}_g$ denote its space of null geodesics. A conformal embedding is an embedding of $(M,g)$ into another spacetime that…

In a quantum field theory satisfying the Weak Reichenbach's Common Cause Principle, let $A$ and $B$ be correlated events associated with spacelike separated regions. A common cause…

Conicality conjecture. Conicality persists for this broader class of spacetimes satisfying suitable causal regularity assumptions.

Conicality conjecture. The spacetime $(\mathcal{M},g)$ is conical.

A causal structure is called admissible if it supports a consistent causal model, and siblings-on-cycles graphs are the proposed admissible structures. Classical versus quantum cau…

Let $G=(V,E)$ be a directed graph. For each party $k\in V$, let the input space be $\mathcal I_k=\mathbb Z_2$ and the output space be…

Strong causality and null pseudoconvexity conjecture. Every strongly causal and null pseudoconvex spacetime is causally simple.

Let $F$ be the bundle whose sections define the relevant causal structures, and let $\mathrm{\Gamma}(F)$ be its space of sections with the Whitney fine $C^0$ topology. Write…

Let $C^\first$ and $C^{\first}$ be globally hyperbolic spacelike cone bundles over $M$ and $M'$, respectively, and let $\chi\colon M\to M'$ be an embedding inducing a chronological…