Impossibility of superluminal signalling rules out causal loops in conical spacetimes

• URL: http://arxiv.org/abs/2606.20476v1
• Date: Thu, 18 Jun 2026 16:55:05 GMT
• Title: Impossibility of superluminal signalling rules out causal loops in conical spacetimes
• Abstract summary: It is theoretically possible to have operationally detectable causal loops without violating the principle of no superluminal signalling (NSS)<n>We show that in a wide class of "conical" spacetimes, including Minkowski with d > 1, NSS does rule out all operationally detectable causal loops.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: In PRL 129, 110401 it was shown that it is theoretically possible to have operationally detectable causal loops without violating the principle of no superluminal signalling (NSS) in (1+1)-Minkowski spacetime. Whether or not such causal loops are also possible in $d > 1$ spatial dimensions, has remained a key open question. We resolve this question by showing that in a wide class of "conical" spacetimes, including Minkowski with d > 1, NSS does rule out all operationally detectable causal loops, in classical, quantum and post-quantum theories. This establishes that the relationship between the relativistic principles of NSS and no causal loops depends inherently on the geometry of spacetime.

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