Renormalization Group and Curved Spacetime
Hiroaki Matsueda
TL;DR
This paper explores how curved spacetime geometry influences the renormalization group process using image compression techniques, revealing a hidden AdS/CFT correspondence linked to information conservation.
Contribution
It introduces a novel approach connecting image compression, entanglement entropy, and spacetime geometry to uncover the AdS/CFT correspondence.
Findings
Identification of AdS/CFT correspondence through image compression
Derivation of a resolution formula for coarse-grained images
Demonstration of information conservation leading to geometric insights
Abstract
We examine the role of curved geometry on renormalization group by means of image compression based on the singular value decomposition. By calculating course-grained images and their entanglement entropy, we find the anti-de Sitter space / conformal field theory correspondence hidden in the compression. The correspondence is originated from the conservation law for information. We discuss how one particular metric is automatically induced from various images. A formula for resolution of the course-grained images is also derived.
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Taxonomy
TopicsComputational Physics and Python Applications · Computer Graphics and Visualization Techniques · Cosmology and Gravitation Theories