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We discuss the role of the proximity force approximation in deriving limits to the existence of Yukawian forces - predicted in the submillimeter range by many unification models - from Casimir force experiments using the sphere-plane…

Quantum Physics · Physics 2010-03-30 Diego A. R. Dalvit , Roberto Onofrio

We discuss possibility to obtain stronger constraints on non-Newtonian gravity from measuring the gradient of the Casimir force between a cylinder and a plate. Exact analytical expression for the Yukawa-type force in a cylinder-plate…

General Relativity and Quantum Cosmology · Physics 2010-12-24 G. L. Klimchitskaya , C. Romero

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 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

We report constraints on the parameters of Yukawa-type corrections to Newtonian gravity from measurements of the gradient of the Casimir force in the configuration of an Au-coated sphere above a Si plate covered with corrugations of…

High Energy Physics - Phenomenology · Physics 2011-11-10 V. B. Bezerra , G. L. Klimchitskaya , V. M. Mostepanenko , C. Romero

The proximity force approximation (PFA) relates the interaction between closely spaced, smoothly curved objects to the force between parallel plates. Precision experiments on Casimir forces necessitate, and spur research on, corrections to…

Quantum Physics · Physics 2014-10-30 G. Bimonte , T. Emig , R. L. Jaffe , M. Kardar

The recent ideas that the gravitational and gauge interactions become united at the weak scale lead to Yukawa-type corrections to the Newtonian gravitational law at small distances. We briefly summarize the best constraints on these…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. M. Mostepanenko , M. Novello

We review new constraints on the Yukawa-type corrections to Newtonian gravity obtained recently from gravitational experiments and from the measurements of the Casimir force. Special attention is paid to the constraints following from the…

High Energy Physics - Theory · Physics 2008-11-26 V. M. Mostepanenko , R. S. Decca , E. Fischbach , G. L. Klimchitskaya , D. E. Krause , D. López

We obtain constraints on the Yukawa-type corrections to Newton's gravitational law and on the coupling constant of axionlike particles to nucleons following from the experiment on measuring the Casimir force between an Au-coated microsphere…

High Energy Physics - Phenomenology · Physics 2020-06-05 G. L. Klimchitskaya , P. Kuusk , V. M. Mostepanenko

We study the geometrical corrections to the simple Proximity Force Approximation for the non-retarded Casimir force. We present analytical results for the force between objects of various shapes and substrates, and between pairs of objects.…

Quantum Physics · Physics 2009-10-27 Bo E. Sernelius , C. E. Román-Velázquez

Quantum fluctuations of the electromagnetic field in the medium surrounding two discharged macroscopic polarizable bodies induce a force between the two bodies, the so called Casimir force. In the last two decades many experiments have…

Quantum Physics · Physics 2017-08-02 Giuseppe Bimonte

Constraints on the Yukawa-type corrections to Newtonian gravitational law are obtained resulting from the measurement of the Casimir force between two crossed cylinders. The new constraints are stronger than those previously derived in the…

High Energy Physics - Phenomenology · Physics 2009-11-07 V. M. Mostepanenko , M. Novello

We consider the Casimir force including all important corrections to it for the configuration used in a recent experiment employing an atomic force microscope. We calculate the long-range hypothetical forces due to the exchange of light and…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Bordag , B. Geyer , G. L. Klimchitskaya , V. M. Mostepanenko

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

We study the behaviour of Yukawa and Newtonian gravitational forces in a cubic box with fully periodic boundaries commonly encountered in N-body simulations of the structure formation. Placing a single gravitating body at the origin of…

General Relativity and Quantum Cosmology · Physics 2022-04-06 Ezgi Canay , Maxim Eingorn

We derive constraints on corrections to Newtonian gravity of the Yukawa type and light elementary particles from two recently performed measurements of the gradient of the Casimir force. In the first measurement the configuration of two Au…

General Relativity and Quantum Cosmology · Physics 2012-11-08 G. L. Klimchitskaya , U. Mohideen , V. M. Mostepanenko

We discuss the strongest constraints on the Yukawa-type corrections to Newton's gravitational law within a submicrometer interaction range following from measurements of the Casimir force. In this connection the complicated problems arising…

High Energy Physics - Phenomenology · Physics 2015-06-19 G. L. Klimchitskaya , V. M. Mostepanenko

We obtain constraints on parameters of the Yukawa-type corrections to Newton's gravitational law from measurements of the gradient of the Casimir force between surfaces coated with ferromagnetic metal Ni and from measurements of the Casimir…

General Relativity and Quantum Cosmology · Physics 2013-07-17 G. L. Klimchitskaya , U. Mohideen , V. M. Mostepanenko

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

Corrections to Newton's gravitational law inspired by extra dimensional physics and by the exchange of light and massless elementary particles between the atoms of two macrobodies are considered. These corrections can be described by the…

General Relativity and Quantum Cosmology · Physics 2015-06-25 V. M. Mostepanenko
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