## 150 Citations

General boundary quantum field theory: Foundations and probability interpretation

- Physics
- 2005

We elaborate on the proposed general boundary formulation as an extension of standard quantum mechanics to arbitrary (or no) backgrounds. Temporal transition amplitudes are generalized to amplitudes…

Observables in the General Boundary Formulation

- Physics
- 2012

We develop a notion of quantum observable for the general boundary formulation of quantum theory. This notion is adapted to spacetime regions rather than to hypersurfaces and naturally fits into the…

General boundary quantum field theory: Timelike hypersurfaces in the Klein-Gordon theory

- Mathematics
- 2006

We show that the real massive Klein-Gordon theory admits a description in terms of states on various timelike hypersurfaces and amplitudes associated with regions bounded by them. This realizes…

On the expansion of a quantum field theory around a topological sector

- Physics
- 2005

The idea of treating quantum general relativistic theories in a perturbative expansion around a topological theory has recently received attention, in the quantum gravity literature. We investigate…

An introduction to the general boundary formulation of quantum field theory

- Physics
- 2015

We give a brief introduction to the so-called general boundary formulation (GBF) of quantum theory. This new axiomatic formulation provides a description of the quantum dynamics which is manifestly…

Schrödinger's cat and the clock: lessons for quantum gravity

- Physics
- 2003

I review basic principles of the quantum mechanical measurement process in view of their implications for a quantum theory of general relativity. It turns out that a clock as an external classical…

On Unitary Evolution in Quantum Field Theory in Curved Spacetime

- Mathematics
- 2011

We investigate the question of unitarity of evolution between hypersurfaces in quantum field theory in curved spacetime from the perspective of the general boundary formulation. Unitarity thus means…

Transition probability spaces in loop quantum gravity

- Physics
- 2016

We study the (generalized) transition probability spaces, in the sense of Mielnik and Cantoni, for spacetime quantum states in loop quantum gravity. First, we show that loop quantum gravity admits…

Quantum field theory on timelike hypersurfaces in Rindler space

- Mathematics
- 2013

The general boundary formulation of quantum field theory is applied to a massive scalar field in two dimensional Rindler space. The field is quantized according to both the Schr\"odinger-Feynman…

A local and operational framework for the foundations of physics

- PhysicsAdvances in Theoretical and Mathematical Physics
- 2019

We discuss a novel framework for physical theories that is based on the principles of locality and operationalism. It generalizes and unifies previous frameworks, including the standard formulation…

## References

SHOWING 1-8 OF 8 REFERENCES

Space-Time Approach to Non-Relativistic Quantum Mechanics

- Physics
- 1948

Non-relativistic quantum mechanics is formulated here in a different way. It is, however, mathematically equivalent to the familiar formulation. In quantum mechanics the probability of an event which…

Spin Foam Models for Quantum Gravity

- Physics
- 2003

In this topical review, we review the present status of the spin foam formulation of non-perturbative (background-independent) quantum gravity. The topical review is divided into two parts. In the…

Partition Functions and Topology-Changing Amplitudes in the 3D Lattice Gravity of Ponzano and Regge

- Mathematics
- 1991

Zur Formulierung quantisierter Feldtheorien

- Physics
- 1955

SummaryA new formulation of quantized field theories is proposed. Starting from some general requirements we derive a set of equations which determine the matrix-elements of field operators and the…

General Relativity; an Einstein Centenary Survey

- Physics
- 1979

List of contributors Preface 1. An introductory survey S. W. Hawking and W. Israel 2. The confrontation between gravitation theory and experiment C. M. Will 3. Gravitational-radiation experiments D.…

Topological quantum field theories

- Mathematics
- 1988

© Publications mathematiques de l’I.H.E.S., 1988, tous droits reserves. L’acces aux archives de la revue « Publications mathematiques de l’I.H.E.S. » (http://www.…