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Relative State Counting for Semiclassical Black Holes.
Phys Rev Lett
November 2024
Center for Theoretical Physics, Massachusetts Institute of Technology, 182 Memorial Drive, Cambridge, Massachusetts 02139, USA.
It has been shown that entropy differences between certain states of perturbative quantum gravity can be computed without specifying an ultraviolet completion. This is analogous to the situation in classical statistical mechanics, where entropy differences are defined but absolute entropy is not. Unlike in classical statistical mechanics, however, the entropy differences computed in perturbative quantum gravity do not have a clear physical interpretation.
View Article and Find Full Text PDFQuantum Inequalities for Quantum Black Holes.
Phys Rev Lett
November 2024
Department of Mathematics, King's College London, Strand, London WC2R 2LS, United Kingdom.
We formulate spacetime inequalities applicable to quantum-corrected black holes to all orders of backreaction in semiclassical gravity. Namely, we propose refined versions of the quantum Penrose and reverse isoperimetric inequalities, valid for all known three-dimensional asymptotically anti-de Sitter quantum black holes. Previous proposals of the quantum Penrose inequality apply in higher dimensions but fail when applied in three dimensions beyond the perturbative regime.
View Article and Find Full Text PDFA High-Finesse Suspended Interferometric Sensor for Macroscopic Quantum Mechanics with Femtometre Sensitivity.
Sensors (Basel)
April 2024
Institute for Gravitational Wave Astronomy, School of Physics and Astronomy, University of Birmingham, Birmingham B15 2TT, UK.
We present an interferometric sensor for investigating macroscopic quantum mechanics on a table-top scale. The sensor consists of a pair of suspended optical cavities with finesse over 350,000 comprising 10 g fused silica mirrors. The interferometer is suspended by a four-stage, light, in-vacuum suspension with three common stages, which allows for us to suppress common-mode motion at low frequency.
View Article and Find Full Text PDFEmpty space and the (positive) cosmological constant.
Stud Hist Philos Sci
August 2023
Department of Philosophy, University of Missouri, MO, USA. Electronic address:
I discuss empty space, as it appears in the physical foundations of relativistic field theories and in the semiclassical study of isolated systems. Of particular interest is the relationship between empirical measurements of the cosmological constant and the question of appropriate representation of empty space by spacetimes, or models of general relativity. Also considered is a speculative move that shows up in one corner of quantum gravity research.
View Article and Find Full Text PDFQuantum Chern-Simons Theories on Cylinders: BV-BFV Partition Functions.
Commun Math Phys
December 2022
Centre for Quantum Mathematics, IMADA, University of Southern Denmark, Odense, Denmark.
We compute partition functions of Chern-Simons type theories for cylindrical spacetimes , with an interval and , in the BV-BFV formalism (a refinement of the Batalin-Vilkovisky formalism adapted to manifolds with boundary and cutting-gluing). The case is considered as a toy example. We show that one can identify-for certain choices of residual fields-the "physical part" (restriction to degree zero fields) of the BV-BFV effective action with the Hamilton-Jacobi action computed in the companion paper (Cattaneo et al.
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