g-the acceleration of gravity: its measurement and its importance

Marson, I.; Faller, J. E.

doi:10.1088/0022-3735/19/1/002

Cited by 67 publications

(27 citation statements)

References 15 publications

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“…At least two kinds of devices can be classified as freefall gravimeters: falling corner cubes, and matter interferometers. Falling corner cubes, which typically are sensitive only to the direction of the free-fall motion, are used to monitor time variations of the gravitational field for geodesy and other geophysical purposes [57]. In principle, they are of interest for free-fall gravimeter tests of Lorentz violation.…”

Section: Amplitudementioning

confidence: 99%

Matter-gravity couplings and Lorentz violation

2011

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The gravitational couplings of matter are studied in the presence of Lorentz and CPT violation. At leading order in the coefficients for Lorentz violation, the relativistic quantum hamiltonian is derived from the gravitationally coupled minimal Standard-Model Extension. For spin-independent effects, the nonrelativistic quantum hamiltonian and the classical dynamics for test and source bodies are obtained. A systematic perturbative method is developed to treat small metric and coefficient fluctuations about a Lorentz-violating and Minkowski background. The post-newtonian metric and the trajectory of a test body freely falling under gravity in the presence of Lorentz violation are established. An illustrative example is presented for a bumblebee model. The general methodology is used to identify observable signals of Lorentz and CPT violation in a variety of gravitational experiments and observations, including gravimeter measurements, laboratory and satellite tests of the weak equivalence principle, antimatter studies, solar-system observations, and investigations of the gravitational properties of light. Numerous sensitivities to coefficients for Lorentz violation can be achieved in existing or near-future experiments at the level of parts in 10 3 down to parts in 10 15 . Certain coefficients are uniquely detectable in gravitational searches and remain unmeasured to date.

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Section: Amplitudementioning

confidence: 99%

Matter-gravity couplings and Lorentz violation

2011

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“…After cooling, the optical trap is ramped down quickly allowing the sphere to undergo free wave packet expansion at a rate determined by the ground state momentum spread. For 200 nm diameter spheres, such an approach has a sensitivity of 1 µGal = 10 −8 m/s 2 , which is comparable to falling corner cube gravimeters [28]. We compare the two techniques as a function of the temperature and mass of the nanosphere and conclude with a discussion of the systematic error and noise sources for each measurement protocol.…”

Section: Introductionmentioning

confidence: 89%

Sensing short range forces with a nanosphere matter-wave interferometer

Geraci

Goldman

2015

Phys. Rev. D

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We describe a method for sensing short range forces using matter wave interference in dielectric nanospheres. When compared with atom interferometers, the larger mass of the nanosphere results in reduced wave packet expansion, enabling investigations of forces nearer to surfaces in a freefall interferometer. By laser cooling a nanosphere to the ground state of an optical potential and releasing it by turning off the optical trap, acceleration sensing at the 10 −8 m/s 2 level is possible. The approach can yield improved sensitivity to Yukawa-type deviations from Newtonian gravity at the 5 µm length scale by a factor of 10 4 over current limits.

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“…Conversely the following equation (10) shows the transfer function for an R&F laser portable gravimeter adopting the proposed modified Michelson's interferometer with the same parameters of equation (9). The behavior of equation (10) Comparison between figures 1 1 and 12 gives a visual idea of the advantages of adopting the proposed modified Michelson's interferometer in one ofthe two versions proposed above.…”

Section: New Design Concepts Minimizing the Dropping Heightmentioning

confidence: 99%

New modified Michelson's interferometer and its applications in metrology as new miniaturized absolute portable gravimeter

Gualini

2001

SPIE Proceedings

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We propose a modified Michelson's interferometer with some applications in dimensional metrology. The configuration of a Michelsons' interferometer using corner cubes instead of plane mirrors is further modified in a rectangular parallelogram. A double prism is introduced in one of the branches of the device in order to obtain a precision of 2J4 and an accuracy of 2/8. The same scheme can be applied to develop absolute portable gravimeters. We present an interferometer version enabling reducing the free fall dropping height less than 25 cm, which is half size of any available device of the same class. Another version of the same interferometer enables a theoretical doubling of the dropping rate and a reduced dropping length with an effective improvement of the measurement precision of g. This solution may lead to a portable absolute dynamic gravimeter. The paper discusses the mathematical model in term of transfer function of "g" and describes the modified Michelson's interferometer with a 'futuristic' solution for a dynamic portable absolute gravimeter.

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g-the acceleration of gravity: its measurement and its importance

Cited by 67 publications

References 15 publications

Matter-gravity couplings and Lorentz violation

Matter-gravity couplings and Lorentz violation

Sensing short range forces with a nanosphere matter-wave interferometer

New modified Michelson's interferometer and its applications in metrology as new miniaturized absolute portable gravimeter

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