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Causal fermion systems are introduced as a general mathematical framework for formulating relativistic quantum theory. By specializing, we recover earlier notions like fermion systems in discrete space-time, the fermionic projector and…

数学物理 · 物理学 2014-06-17 Felix Finster , Andreas Grotz , Daniela Schiefeneder

The standard formulation of quantum theory assumes a predefined notion of time. This is a major obstacle in the search for a quantum theory of gravity, where the causal structure of space-time is expected to be dynamical and fundamentally…

量子物理 · 物理学 2016-07-29 Ognyan Oreshkov , Nicolas J. Cerf

Recent developments in the formalisation of quantum causal structures have made it possible to test and compare hypotheses about causal structure empirically, rather than being a-priori assumptions. Such differences in causal structure may…

量子物理 · 物理学 2026-05-28 Declan Maguire , Fabio Costa

In this article we set out to understand the significance of the process matrix formalism and the quantum causal modelling programme for ongoing disputes about the role of causation in fundamental physics. We argue that the process matrix…

量子物理 · 物理学 2022-08-05 Emily Adlam

The constraints arising for a general set of causal relations, both classically and quantumly, are still poorly understood. As a step in exploring this question, we consider a coherently controlled superposition of "direct-cause" and…

量子物理 · 物理学 2018-01-11 Adrien Feix , Časlav Brukner

One of the most fundamental open problems in physics is the unification of general relativity and quantum theory to a theory of quantum gravity. An aspect that might become relevant in such a theory is that the dynamical nature of causal…

量子物理 · 物理学 2022-03-14 Veronika Baumann , Marius Krumm , Philippe Allard Guérin , Časlav Brukner

A reflexive relation on a set can be a starting point in defining the causal structure of a spacetime in General Relativity and other relativistic theories of gravity. If we identify this relation as the relation between lightlike separated…

广义相对论与量子宇宙学 · 物理学 2016-06-07 Ovidiu Cristinel Stoica

Certain approaches to quantum gravity, such as the one based on the concept of purely virtual particles (fakeons), sacrifice the cause-effect relation at very small scales to reconcile renormalizability with unitarity. Other developments…

广义相对论与量子宇宙学 · 物理学 2026-05-01 Damiano Anselmi

The theory of quantum gravity is aimed to fuse general relativity with quantum theory into a more fundamental framework. The space of quantum gravity provides both the non-fixed causality of general relativity and the quantum uncertainty of…

量子物理 · 物理学 2020-03-12 Laszlo Gyongyosi , Sandor Imre

It can be argued that the ordinary description of the reversible quantum process between two one-to-one correlated measurement outcomes is incomplete because, by not specifying the direction of causality, it allows causal structures that…

量子物理 · 物理学 2023-11-02 Giuseppe Castagnoli

We begin with a brief summary of issues encountered involving causality in quantum theory, placing careful emphasis on the assumptions involved in results such as the EPR paradox and Bell's inequality. We critique some solutions to the…

量子物理 · 物理学 2017-05-23 Blake K Winter

In theories of communication, it is usually presumed that the involved parties perform actions in a fixed causal order. However, practical and fundamental reasons can induce uncertainties in the causal order. Here we show that a maximal…

量子物理 · 物理学 2019-11-20 Ding Jia , Fabio Costa

Requiring that the causal structure between different parties is well-defined imposes constraints on the correlations they can establish, which define so-called causal correlations. Some of these are known to have a "dynamical" causal order…

量子物理 · 物理学 2025-11-13 Raphaël Mothe , Alastair A. Abbott , Cyril Branciard

It is well-known that if one assumes quantum theory to hold locally, then processes with indefinite causal order and cyclic causal structures become feasible. Here, we study qualitative limitations on causal structures and correlations…

量子物理 · 物理学 2024-01-09 Eleftherios-Ermis Tselentis , Ämin Baumeler

In fundamental theories that accounts for quantum gravitational effects, the spacetime causal structure is expected to be quantum uncertain. Previous studies of quantum causal structure focused on finite-dimensional systems. Here we present…

量子物理 · 物理学 2019-02-18 Ding Jia

In this work, we give rigorous operational meaning to superposition of causal orders. This fits within a recent effort to understand how the standard operational perspective on quantum theory could be extended to include indefinite…

量子物理 · 物理学 2021-09-07 Nicola Pinzani , Stefano Gogioso

The landscape of causal relations that can hold among a set of systems in quantum theory is richer than in classical physics. In particular, a pair of time-ordered systems can be related as cause and effect or as the effects of a common…

量子物理 · 物理学 2017-07-20 Katja Ried , Jean-Philippe W. MacLean , Robert W. Spekkens , Kevin J. Resch

This paper presents a framework for Quantum causal modeling based on the interpretation of causality as a relation between an observer's probability assignments to hypothetical or counterfactual experiments. The framework is based on the…

量子物理 · 物理学 2020-01-15 Jacques Pienaar

It is known that the classical framework of causal models is not general enough to allow for causal reasoning about quantum systems. While the framework has been generalized in a variety of different ways to the quantum case, much of this…

量子物理 · 物理学 2020-11-23 Jonathan Barrett , Robin Lorenz , Ognyan Oreshkov

A brief overview of some open questions in general relativity with important consequences for causality theory is presented, aiming to a better understanding of the causal structure of the spacetime. Special attention is accorded to the…

广义相对论与量子宇宙学 · 物理学 2016-01-28 E. M. Howard