Gravitational dressing: from the crossed product to more general algebraic and mathematical structure
Year: 2026
Type: article
Abstract: A bstract The crossed product, and consequent transition from von Neumann algebras of type III to II, is recovered from a truncation of more general gravitational dressing constructions, about certain spacetimes. This is done by extending “standard dressing” constructions previously used to give a perturbative definition of “gravitational splittings”, defining approximate localization of information. This result appears to illustrate that this algebraic transition is a small piece of a more general algebraic, or other mathematical, structure associated with quantum gravity. The leading-order structure involves noncommutativity from separated regions, and at the nonperturbative level connects with a possible explanation of holographic behavior for gravity.
Source: Journal of High Energy Physics
Author: Steven B. Giddings
Institution: University of California System
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4416017772