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Does gravity care about electric charge? Precision tests of the weak equivalence principle achieve remarkable sensitivity but deliberately minimize electric charge on test masses, leaving this fundamental question experimentally open. We…

General Relativity and Quantum Cosmology · Physics 2026-01-26 Renato Vieira dos Santos

We derive constraints on scalar field theories coupled to gravity by using recently developed positivity bounds in the presence of gravity. It is found that a canonically-normalized real scalar cannot have an arbitrarily flat potential…

High Energy Physics - Theory · Physics 2021-09-29 Toshifumi Noumi , Junsei Tokuda

We explore the problem of deriving a posteriori probabilities of being defective for the members of a population in the non-adaptive group testing framework. Both noiseless and noisy testing models are addressed. The technique, which relies…

Information Theory · Computer Science 2021-02-11 Gianluigi Liva , Enrico Paolini , Marco Chiani

We introduce The Novel Probes Project, an initiative to advance the field of astrophysical tests of the dark sector by creating a forum that connects observers and theorists. This review focuses on tests of gravity and is intended to be of…

I show that reflection positivity implies that the force between any mirror pair of charge-conjugate probes of the quantum vacuum is attractive. This generalizes a recent theorem of Kenneth and Klich to interacting quantum fields, to…

Quantum Physics · Physics 2008-11-26 C. P. Bachas

In consideration of the integral transform whose kernel arises as an oscillatory solution of certain second-order linear differential equation, its positivity is investigated on the basis of Sturm's theory. As applications, positivity…

Classical Analysis and ODEs · Mathematics 2023-11-09 Yong-Kum Cho , Seok-Young Chung , Young Woong Park

One of the major difficulties of modern science underlies at the unification of general relativity and quantum mechanics. Different approaches towards such theory have been proposed. Noncommutative theories serve as the root of almost all…

Quantum Physics · Physics 2018-01-09 Sanjib Dey , Anha Bhat , Davood Momeni , Mir Faizal , Ahmed Farag Ali , Tarun Kumar Dey , Atikur Rehman

Theories such as massive Galileons and massive gravity can satisfy the presently known improved positivity bounds provided they are weakly coupled. We discuss the form of the EFT Lagrangian for a weakly coupled UV completion of massive…

High Energy Physics - Theory · Physics 2018-05-09 Claudia de Rham , Scott Melville , Andrew J. Tolley

It is more important than ever to push experimental tests of gravitational theory to the limits of existing technology in both range and sensitivity. This brief review focuses on spin-based tests of General Relativity and their implications…

General Relativity and Quantum Cosmology · Physics 2015-12-09 James M. Overduin

In metric-affine theories of gravity such as the C-theories, the spacetime connection is associated to a metric that is nontrivially related to the physical metric. In this article, such theories are rewritten in terms of a single metric…

General Relativity and Quantum Cosmology · Physics 2016-04-06 Alexey Golovnev , Tomi Koivisto , Marit Sandstad

We analyze conformal gravity in translationally invariant approximation, where the metric is taken to depend on time but not on spatial coordinates. We find that the field mode which in perturbation theory has a ghostlike kinetic term,…

High Energy Physics - Theory · Physics 2014-05-14 Ibrahim B. Ilhan , Alex Kovner

Positivity bounds - constraints on any low-energy effective field theory imposed by the fundamental axioms of unitarity, causality and locality in the UV - have recently been used to constrain scalar-tensor theories of dark energy. However,…

Cosmology and Nongalactic Astrophysics · Physics 2022-02-08 Claudia de Rham , Scott Melville , Johannes Noller

The weak field limit of scalar tensor theories of gravity is discussed in view of conformal transformations. Specifically, we consider how physical quantities, like gravitational potentials derived in the Newtonian approximation for the…

General Relativity and Quantum Cosmology · Physics 2015-02-25 A. Stabile , An. Stabile , S. Capozziello

Recent results from our on going experimental investigation of the influence of space dependant electric fields on the weight of test particles are reported. Test particles were gold coated metal spheres of same size but of different…

General Physics · Physics 2007-05-23 T. Datta , Ming Yin , Andreea Dimofte , M. C. Bleiweiss , Zhihua Cai

All of the experiments supporting Einstein's Special Relativity Theory are also supportive of the Lorentz ether theory, or many other ether theories. However, a growing number of experiments show deviations from Einstein's Special…

Classical Physics · Physics 2011-09-14 Victor Otto de Haan

A handful of recent papers has been devoted to proposals of experiments capable of testing some candidate quantum-gravity phenomena. These lecture notes emphasize those aspects that are most relevant to the questions that come to mind when…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Giovanni Amelino-Camelia

Quantum nonlocality is arguably among the most counter-intuitive phenomena predicted by quantum theory. In recent years, the development of an abstract theory of nonlocality has brought a much deeper understanding of the subject. In…

The confrontation between general relativity (and its theoretically most plausible deviations) and experimental or observational results is summarized. Some discussion is devoted to the various methodologies used in confronting theory and…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Thibault Damour

Closed-loop positivity of feedback interconnections of positive monotone nonlinear systems is investigated. It is shown that an instantaneous gain condition on the open-loop systems which implies feedback well-posedness also guarantees…

Optimization and Control · Mathematics 2015-08-27 Sei Zhen Khong , Corentin Briat , Anders Rantzer

We derive multipolar equations of motion for gravitational theories with general nonminimal coupling in spacetimes admitting torsion. Our very general findings allow for the systematic testing of whole classes of theories by means of…

General Relativity and Quantum Cosmology · Physics 2014-10-22 Dirk Puetzfeld , Yuri N. Obukhov
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