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Casimir force searches provide among the most sensitive laboratory probes of new short range interactions. Existing constraints rely almost exclusively on a single geometry. We show that Casimir geometry constitutes an independent…

High Energy Physics - Phenomenology · Physics 2026-03-25 Xiaolin Ma , Volodymyr Takhistov , Hideo Iizuka

In this paper, we study the Casimir effect in a curved spacetime described by gravitational actions quadratic in the curvature. In particular, we consider the dynamics of a massless scalar field confined between two nearby plates and…

General Relativity and Quantum Cosmology · Physics 2019-02-04 Luca Buoninfante , Gaetano Lambiase , Luciano Petruzziello , Antonio Stabile

We review recent developments in the Casimir effect which arises in quantization volumes restricted by material boundaries and in spaces with non-Euclidean topology. The starting point of our discussion is the novel exact solution for the…

Quantum Physics · Physics 2016-11-15 V. M. Mostepanenko

The discussion of vacuum energy is currently a subject of great theoretical importance, specially concerning the cosmological constant problem in General Relativity. From Quantum Field Theory, it is stated that vacuum states subject to…

High Energy Physics - Theory · Physics 2020-02-07 A. P. C. M. Lima , G. Alencar , C. R. Muniz , R. R. Landim

We report stronger constraints on the parameters of Yukawa-type corrections to Newtonian gravity from measurements of the lateral Casimir force between sinusoidally corrugated surfaces of a sphere and a plate. In the interaction range from…

High Energy Physics - Theory · Physics 2010-04-06 V. B. Bezerra , G. L. Klimchitskaya , V. M. Mostepanenko , C. Romero

Associated with the cosmic acceleration are the old and new cosmological constant problems, recently put into the more general context of the dark energy problem. In broad terms, the old problem is related to an unexpected order of…

Astrophysics · Physics 2008-11-26 Mustapha Ishak

The primary focus of this dissertation is the study of the Casimir effect and the possibility that this phenomenon may serve as a mechanism to mediate higher dimensional stability, and also as a possible mechanism for creating a small but…

General Relativity and Quantum Cosmology · Physics 2009-01-26 Richard K. Obousy

We compute bounds and forecasts on screened modified gravity theories, specialising to the chameleon model in Casimir force experiments. In particular, we investigate the classical interaction between a plate and sphere subject to a…

General Relativity and Quantum Cosmology · Physics 2023-04-26 Philippe Brax , Anne-Christine Davis , Benjamin Elder

Dark matter's existence is known thanks to its gravitational interaction with Standard Model particles, but it remains unknown whether this is the only force present between them. While many searches for such new interactions with dark…

High Energy Physics - Phenomenology · Physics 2025-04-03 Zachary Bogorad , Peter Graham , Harikrishnan Ramani

We extend a recently introduced method for computing Casimir forces between arbitrarily--shaped metallic objects [M. T. H. Reid et al., Phys. Rev. Lett._103_ 040401 (2009)] to allow treatment of objects with arbitrary material properties,…

Quantum Physics · Physics 2011-10-21 M. T. Homer Reid , Jacob White , Steven G. Johnson

In this talk I review various developments in the past year concerning quantum vacuum energy, the Casimir effect. In particular, there has been continuing controversy surrounding the temperature correction to the Lifshitz formula for the…

High Energy Physics - Theory · Physics 2009-05-12 K. A. Milton

We investigate laboratory tests of dark energy theories which modify gravity in a way generalising the inverse power law chameleon models. We make use of the tomographic description of such theories which captures $f(R)$ models in the large…

High Energy Physics - Phenomenology · Physics 2015-03-11 Philippe Brax , Anne-Christine Davis

Mesoscopic particles immersed in a critical fluid experience long-range Casimir forces due to critical fluctuations. Using field theoretical methods, we investigate the Casimir interaction between two spherical particles and between a…

Condensed Matter · Physics 2009-10-28 E. Eisenriegler , U. Ritschel

After a review of the standard calculation of the Casimir force between two metallic plates at zero and non-zero temperatures, we present the study of microscopic models to determine the large-distance asymptotic force in the…

Statistical Mechanics · Physics 2011-11-09 Ph. A. Martin , P. R. Buenzli

We have developed an exact, general method to compute Casimir interactions between a finite number of compact objects of arbitrary shape and separation. Here, we present details of the method for a scalar field to illustrate our approach in…

Statistical Mechanics · Physics 2008-11-26 T. Emig , N. Graham , R. L. Jaffe , M. Kardar

Depending on the point of view, the Casimir force arises from variation in the energy of the quantum vacuum as boundary conditions are altered or as an interaction between atoms in the materials that form these boundary conditions. Standard…

High Energy Physics - Theory · Physics 2021-02-03 S. S. Chabysheva , J. R. Hiller

We discuss the constraints on the parameters of a Yukawa interaction obtained from the indirect measurements of the Casimir pressure between parallel plates using the sphere-plate configuration. Recently, it was claimed in the literature…

Quantum Physics · Physics 2010-07-20 E. Fischbach , G. L. Klimchitskaya , D. E. Krause , V. M. Mostepanenko

We calculate the constraints on the constants of hypothetical long-range interactions which follow from the recent measurement of the Casimir force. A comparison with previous constraints is given. The new constraints are up to a factor of…

High Energy Physics - Theory · Physics 2008-11-26 M. Bordag , G. T. Gillies , V. M. Mostepanenko

A recent experiment [J. L. Garrett, D. A. T. Somers, and J. N. Munday, Phys. Rev. Lett {\bf 120}, 040401 (2018)] measured for the first time the gradient of the Casimir force between two gold spheres in vacuum at room temperature, and…

Quantum Physics · Physics 2018-11-12 Giuseppe Bimonte

After a decade and a half of research motivated by the accelerating universe, theory and experiment have a reached a certain level of maturity. The development of theoretical models beyond \Lambda, or smooth dark energy, often called…

Cosmology and Nongalactic Astrophysics · Physics 2015-02-25 Austin Joyce , Bhuvnesh Jain , Justin Khoury , Mark Trodden