nLab cosmic electromagnetism

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Contents

Context

Cosmology

Quantum Field Theory

algebraic quantum field theory (perturbative, on curved spacetimes, homotopical)

Introduction

Concepts

field theory:

Lagrangian field theory

quantization

quantum mechanical system, quantum probability

free field quantization

gauge theories

interacting field quantization

renormalization

Theorems

States and observables

Operator algebra

Local QFT

Perturbative QFT

Contents

Idea

Under cosmological electromagnetism one understands (the study of) electromagnetic fields on cosmological scales.

Relation to cosmic topology

Of particular interest for cosmic electromagnetism would be non-simply-connected cosmic topology (such as the 3-torus or a lens space but not the 3-sphere) since these could support locally trivial but globally non-trivial electromagnetic fields (namely with vanishing electromagnetic flux density but still non-trivial holonomy/monodromy around non-contractible cosmological curves) such as discussed in the Aharonov-Bohm effect.

Moreover, lens space-topology with its integral torsion-cohomology group in degree 2 (cf. there) would even support “fractional” such electromagnetic fields (for which certain integer multiples of the field would vanish), which would in principle be detectable by an uncertainty principle for quantum observables on the cosmic electromagnetic field [Freed, Moore & Segal 2007b, p. 28].

Literature

Last revised on June 7, 2024 at 13:39:46. See the history of this page for a list of all contributions to it.