Topic
Causal sets
About: Causal sets is a research topic. Over the lifetime, 924 publications have been published within this topic receiving 23538 citations.
Papers published on a yearly basis
Papers
TL;DR: In this article, uncertainty relations for the different coordinates of spacetime events are proposed, motivated by Heisenberg's principle and by Einstein's theory of classical gravity, and a model of Quantum Spacetime is discussed where the commutation relations exactly implement our uncertainty relations.
Abstract: We propose uncertainty relations for the different coordinates of spacetime events, motivated by Heisenberg's principle and by Einstein's theory of classical gravity. A model of Quantum Spacetime is then discussed where the commutation relations exactly implement our uncertainty relations.
1,512 citations
TL;DR: In this paper, the authors argue that the emergence of classically connected spacetimes is intimately related to the quantum entanglement of degrees of freedom in a nonperturbative description of quantum gravity.
Abstract: In this essay, we argue that the emergence of classically connected spacetimes is intimately related to the quantum entanglement of degrees of freedom in a non-perturbative description of quantum gravity. Disentangling the degrees of freedom associated with two regions of spacetime results in these regions pulling apart and pinching off from each other in a way that can be quantified by standard measures of entanglement.
1,412 citations
TL;DR: It is proposed that space-time at the smallest scales is in reality a causal set: a locally finite set of elements endowed with a partial order corresponding to the macroscopic relation that defines past and future.
Abstract: We propose that space-time at the smallest scales is in reality a causal set: a locally finite set of elements endowed with a partial order corresponding to the macroscopic relation that defines past and future. We explore how a Lorentzian manifold can approximate a causal set, noting in particular that the thereby defined effective dimensionality of a given causal set can vary with length scale. Finally, we speculate briefly on the quantum dynamics of causal sets, indicating why an appropriate choice of action can reproduce general relativity in the classical limit.
1,170 citations
TL;DR: In this article, the authors propose spacetime uncertainty relations motivated by Heisenberg's uncertainty principle and by Einstein's theory of classical gravity, which is described by a non-commutative algebra whose commutation relations do imply our uncertainty relations.
1,019 citations
TL;DR: It is shown that in a classical limit causal order always arises, which suggests that space-time may emerge from a more fundamental structure in a quantum-to-classical transition.
Abstract: The idea that events obey a definite causal order is deeply rooted in our understanding of the world and at the basis of the very notion of time. But where does causal order come from, and is it a necessary property of nature? Here, we address these questions from the standpoint of quantum mechanics in a new framework for multipartite correlations that does not assume a pre-defined global causal structure but only the validity of quantum mechanics locally. All known situations that respect causal order, including space-like and time-like separated experiments, are captured by this framework in a unified way. Surprisingly, we find correlations that cannot be understood in terms of definite causal order. These correlations violate a 'causal inequality' that is satisfied by all space-like and time-like correlations. We further show that in a classical limit causal order always arises, which suggests that space-time may emerge from a more fundamental structure in a quantum-to-classical transition.
838 citations
Related Topics (5)
Performance Metrics
| Year | Papers |
|---|---|
| 2026 | 6 |
| 2025 | 74 |
| 2024 | 16 |
| 2023 | 53 |
| 2022 | 125 |
| 2021 | 28 |