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Limits of a non-local quantum spacetime

2023/05/16 by Dawood Kothawala, Kothawala, Dawood
Physics and Astronomy · #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Quantum Electrodynamics and Casimir Effect #Relativity and Gravitational Theory

paper · pdf · doi:10.48550/arxiv.2305.09265

openalex publication_date 2023/05/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A generic implication of incorporating gravitational effects in the analysis of quantum measurements is the existence of a zero-point length of spacetime. This requires an inherently non-local description of spacetime, beyond the usual one based on metric gab(x) etc. The quantum spacetime should instead be reconstructed from non-local bi-tensors of the form \mathscrGab … i'j' …(x,x'). A deeper look then reveals a subtle interplay interplay between non-locality and the limit Gℏ/c3 → 0. In particular, the so called emergent gravity paradigm -- in which gravitational dynamics/action/spacetime are emergent and characterised by an *entropy functional* -- arises as the Cheshire grin of a fundamentally non-local quantum spacetime. This essay describes the flow of metric with respect to Planck length, and proposes a novel action for the same.

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