# Quantum histories and quantum gravity

@article{Henson2009QuantumHA, title={Quantum histories and quantum gravity}, author={Joe Henson}, journal={arXiv: General Relativity and Quantum Cosmology}, year={2009}, volume={174}, pages={012020} }

This paper reviews the histories approach to quantum mechanics. This discussion is then applied to theories of quantum gravity. It is argued that the results of all measurements in suitably defined classical situations can be identified with properties of the histories. This observation has significance for the formulation of new theories (such as quantum gravity theories) as it puts a constraint on the kinematics, if the quantum/classical correspondence principle is to be preserved…

## 30 Citations

Causal sets: Quantum gravity from a fundamentally discrete spacetime

- Physics
- 2010

In order to construct a quantum theory of gravity, we may have to abandon certain assumptions we were making. In particular, the concept of spacetime as a continuum substratum is questioned. Causal…

Models for Discrete Quantum Gravity

- Mathematics, Physics
- 2012

We first discuss a framework for discrete quantum processes (DQP). It is shown that the set of q -probability operators is convex and its set of extreme elements is found. The property of consistency…

A Dynamics for Discrete Quantum Gravity

- Mathematics, Physics
- 2014

This paper is based on the causal set approach to discrete quantum gravity. We first describe a classical sequential growth process (CSGP) in which the universe grows one element at a time in…

Discrete Quantum Gravity Is Not Isometric

- Physics
- 2011

We show that if a discrete quantum gravity is not classical, then it cannot be generated by an isometric dynamics. In particular, we show that if the quantum measure {\mu} (or equivalently the…

Recovering General Relativity from a Planck scale discrete theory of quantum gravity

- Physics
- 2021

An argument is presented that if a theory of quantum gravity is physically discrete at the Planck scale and the theory recovers General Relativity as an approximation, then, at the current stage of…

An Isometric Dynamics for a Causal Set Approach to Discrete Quantum Gravity

- Mathematics, Physics
- 2014

We consider a covariant causal set approach to discrete quantum gravity. We first review the microscopic picture of this approach. In this picture a universe grows one element at a time and its…

Discrete Quantum Gravity

- Physics
- 2011

We discuss the causal set approach to discrete quantum gravity. We begin by describing a classical sequential growth process in which the universe grows one element at a time in discrete steps. At…

Causal Sets Dynamics: Review & Outlook

- Physics
- 2013

Causal sets is an approach to quantum gravity, where spacetime is replaced by a causal set. It is fundamentally discrete, and the causal relations between spacetime elements is the only structure…

An Approach to Discrete Quantum Gravity

- Mathematics, Physics
- 2013

This article presents a simplified version of the author's previous work. We first construct a causal growth process (CGP). We then form path Hilbert spaces using paths of varying lengths in the CGP.…

Curvature and Quantum Mechanics on Covariant Causal Sets

- Physics
- 2015

This article begins by reviewing the causal set approach in discrete quantum gravity. In our version of this approach a special role is played by covariant causal sets which we call $c$-causets. The…

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