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The Weak Gravity Conjecture holds that in a theory of quantum gravity, any gauge force must mediate interactions stronger than gravity for some particles. This statement has surprisingly deep and extensive connections to many different…

High Energy Physics - Theory · Physics 2023-09-14 Daniel Harlow , Ben Heidenreich , Matthew Reece , Tom Rudelius

The effort to discover a quantum theory of gravity is motivated by the need to reconcile the incompatibility between quantum theory and general relativity. Here, we present an alternative approach by constructing a consistent theory of…

High Energy Physics - Theory · Physics 2023-11-28 Jonathan Oppenheim

We demonstrate that, in certain cases, quantization and the classical limit provide functors that are "almost inverse" to each other. These functors map between categories of algebraic structures for classical and quantum physics,…

Mathematical Physics · Physics 2024-01-17 Benjamin H. Feintzeig

Quantum theory shares with classical probability theory many important properties. I show that this common core regards at least the following six areas, and I provide details on each of these: the logic of propositions, symmetry,…

Quantum Physics · Physics 2009-11-07 Jochen Rau

Although classical mechanics and quantum mechanics are separate disciplines, we live in a world where Planck's constant \hbar>0, meaning that the classical and quantum world views must actually {\it coexist}. Traditionally, canonical…

Quantum Physics · Physics 2015-06-04 John R. Klauder

We address the question whether quantum probes in a gravitational field can be considered as test particles obeying the weak equivalence principle (WEP). A formulation of the WEP is proposed which applies also in the quantum regime, while…

General Relativity and Quantum Cosmology · Physics 2017-05-18 Luigi Seveso , Matteo G. A. Paris

This work is divided into two parts. The first examines recent proposals for "witnessing" quantum gravity via entanglement from the point of view of Bronstein's original objection to a quantization of gravity. Using techniques from open…

General Relativity and Quantum Cosmology · Physics 2023-11-17 Giorgio Torrieri

It is shown that a unified description of classical and `quantum mechanical' gravity in its linearized form is possible.

General Physics · Physics 2018-05-18 Partha Ghose

We investigate whether the classical equivalence of $f(R)$ gravity and its formulation as scalar-tensor theory still holds at the quantum level. We explicitly compare the corresponding one-loop divergences and find that the equivalence is…

General Relativity and Quantum Cosmology · Physics 2018-03-07 Michael S. Ruf , Christian F. Steinwachs

We ask the question how the (weak) equivalence principle established in classical gravitational physics should be reformulated and interpreted for massive quantum objects that may also have internal degrees of freedom (dof). This inquiry is…

Quantum Physics · Physics 2018-02-14 Charis Anastopoulos , Bei-Lok Hu

A precise formulation of the strong Equivalence Principle is essential to the understanding of the relationship between gravitation and quantum mechanics. The relevant aspects are reviewed in a context including General Relativity, but…

General Relativity and Quantum Cosmology · Physics 2007-05-23 R. Aldrovandi , P. B. Barros , J. G. Pereira

Quantum gravity was born as that branch of modern theoretical physics that tries to unify its guiding principles, i.e., quantum mechanics and general relativity. Nowadays it is providing new insight into the unification of all fundamental…

High Energy Physics - Theory · Physics 2011-08-17 Giampiero Esposito

Although general relativity is a predictively successful theory, it treats matter as classical rather than as quantum. For this reason, it will have to be replaced by a more fundamental quantum theory of gravity. Attempts to formulate a…

History and Philosophy of Physics · Physics 2019-02-07 Christian Wuthrich

The equivalence of active and passive (EAP) gravitational mass is one of the most fundamental principles of gravity. But in contrast to the usual equivalence of inertial and (passive) gravitational mass, the EAP has not received much…

Quantum Physics · Physics 2025-03-21 Vasileios Fragkos , Igor Pikovski

The quantum equivalence principle says that, for any given point, it is possible to find a quantum coordinate system with respect to which we have definite causal structure in the vicinity of that point. It is conjectured that this…

Quantum Physics · Physics 2019-03-20 Lucien Hardy

Any canonical quantum theory can be understood to arise from the compatibility of the statistical geometry of distinguishable observations with the canonical Poisson structure of Hamiltonian dynamics. This geometric perspective offers a…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Vishnu Jejjala , Djordje Minic , Chia-Hsiung Tze

Modern formulations of equivalence principles provide the foundation for an efficient approach to understanding and organizing the structural features of gravitation field theories. Since theories' predictions reflect differences in their…

General Relativity and Quantum Cosmology · Physics 2016-12-07 Mark P. Haugan , C. Lämmerzahl

Although the standard viewpoint in theoretical physics is that the unification of quantum theory and general relativity requires the quantization of gravity and spacetime, there is not consensus about whether spacetime must fundamentally…

Quantum Physics · Physics 2022-05-23 Damián Pitalúa-García

The principle of common cause is discussed as a possible fundamental principle of physics. Some revisions of Reichenbach's formulation of the principle are given, which lead to a version given by Bell. Various similar forms are compared and…

Quantum Physics · Physics 2007-05-23 Joe Henson

Can quantum-mechanical particles propagating on a fixed spacetime background be approximated as test bodies satisfying the weak equivalence principle? We ultimately answer the question in the negative but find that, when universality of…

General Relativity and Quantum Cosmology · Physics 2017-09-13 Luigi Seveso , Valerio Peri , Matteo G. A. Paris