Quantum Spacetime and Algebraic Quantum Field Theory

TL;DR

This paper reviews the quantum structure of spacetime at the Planck scale, considering operational limitations from quantum mechanics and general relativity, and discusses approaches to quantum field theory on quantum spacetime and potential cosmological implications.

Contribution

It provides a comprehensive review of the quantum structure of spacetime and explores various approaches to quantum field theory on quantum spacetime, highlighting potential cosmological impacts.

Findings

Operational limitations affect event localization at the Planck scale

Different approaches to quantum field theory on quantum spacetime are analyzed

Possible cosmological consequences are discussed

Abstract

We review the investigations on the quantum structure of spactime, to be found at the Planck scale if one takes into account the operational limitations to localization of events which result from the concurrence of Quantum Mechanics and General Relativity. We also discuss the different approaches to (perturbative) Quantum Field Theory on Quantum Spacetime, and some of the possible cosmological consequences.