English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

It is expected that the quantum nature of spacetime leaves its imprint in allsemiclassical gravitational systems, at least in certain regimes, includinggravitational waves. In this paper we investigate such imprints ongravitational waves within a specific framework: space is assumed to bediscrete (in the form of a regular cubic lattice), and this discrete geometryis quantised following Dirac's canonical quantisation scheme. The semiclassicalbehavior is then extracted by promoting the expectation value of theHamiltonian operator on a semiclassical state to an effective Hamiltonian.Considering a family of semiclassical states representing small tensorperturbations to Minkowski background, we derive a quantum-corrected effectivewave equation. The deviations from the classical gravitational wave equationare found to be encoded in a modified dispersion relation and controlled by thediscreteness parameter of the underlying lattice. For finite discretisations,several interesting effects appear: we investigate the thermodynamicalproperties of these modified gravitons and, under certain assumptions, derivethe tensor power spectrum of the cosmic microwave background. The latter isfound to deviate from the classical prediction, in that an amplification of UVmodes takes place. We discuss under what circumstances such effect can be inagreement with observations.

Modifications to Gravitational Wave Equation from Canonical Quantum Gravity