Gravitational dressing: from the crossed product to more general algebraic and mathematical structure
- 1University of California
Abstract
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.
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BibTeX
@article{giddings2026gravitational,
title = {{Gravitational dressing: from the crossed product to more general algebraic and mathematical structure}},
author = {Steven B. Giddings},
journal = {Journal of High Energy Physics},
year = {2026},
month = nov,
doi = {10.1007/jhep11(2026)056},
url = {https://link.springer.com/article/10.1007/JHEP11(2026)056},
note = {CC BY 4.0},
}
RIS
TY - JOUR
TI - Gravitational dressing: from the crossed product to more general algebraic and mathematical structure
AU - Steven B. Giddings
PY - 2026
DA - 2026/11/06
JO - Journal of High Energy Physics
DO - 10.1007/jhep11(2026)056
UR - https://link.springer.com/article/10.1007/JHEP11(2026)056
AB - 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.
SN - 1029-8479
ER -