Testing the Newton second law in the regime of small accelerations

Lorenci, V. A. De; Faúndez-Abans, M.; Pereira, Jonas P.

doi:10.1051/0004-6361/200811520

Cited by 15 publications

(13 citation statements)

References 41 publications

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“…An improvement on this idea was suggested in Ref. [16]. A simpler approach has recently been proposed by Das and Patitsas [17], who made use of free falling laboratories and assumed the validity of the SEP.…”

Section: Introductionmentioning

confidence: 99%

Satellite Test of the Equivalence Principle as a Probe of Modified Newtonian Dynamics

Pereira¹,

Overduin²,

Poyneer³

2016

Phys. Rev. Lett.

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The proposed satellite test of the equivalence principle (STEP) will detect possible violations of the weak equivalence principle by measuring relative accelerations between test masses of different composition with a precision of one part in 10^{18}. A serendipitous by-product of the experimental design is that the absolute or common-mode acceleration of the test masses is also measured to high precision as they oscillate along a common axis under the influence of restoring forces produced by the position sensor currents, which in drag-free mode lead to Newtonian accelerations as small as 10^{-14} g. This is deep inside the low-acceleration regime where modified Newtonian dynamics (MOND) diverges strongly from the Newtonian limit of general relativity. We show that MOND theories (including those based on the widely used "n family" of interpolating functions as well as the covariant tensor-vector-scalar formulation) predict an easily detectable increase in the frequency of oscillations of the STEP test masses if the strong equivalence principle holds. If it does not hold, MOND predicts a cumulative increase in oscillation amplitude which is also detectable. STEP thus provides a new and potentially decisive test of Newton's law of inertia, as well as the equivalence principle in both its strong and weak forms.

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Section: Introductionmentioning

confidence: 99%

Satellite Test of the Equivalence Principle as a Probe of Modified Newtonian Dynamics

Pereira¹,

Overduin²,

Poyneer³

2016

Phys. Rev. Lett.

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“…Several authors have attempted to extract information from double and multiple galaxy clusters on the nature of gravity and dark matter on galactic cluster (∼1 Mpc) distance scales, and up to now this was mainly centred on analysing the 1E 0657−56 cluster. Farrar & Rosen (2006), Brownstein & Moffat (2007), Angus & McGaugh (2008), Schmidt, Vikhlinin & Hu (2009) and De Lorenci, Faundez‐Abans & Pereira (2009) are among those who investigated whether modifications to gravity are needed to fit the available dynamical data. Springel & Farrar (2007), Pointecouteau & Silk (2005) and Hayashi & White (2006), however, indicated that modifications are unneccesary.…”

Section: Introductionmentioning

confidence: 99%

The double galaxy cluster Abell 2465 - I. Basic properties: optical imaging and spectroscopy

Wegner

2011

Monthly Notices of the Royal Astronomical Society

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Optical imaging and spectroscopic observations of the z= 0.245 double galaxy cluster Abell 2465 are described. This object appears to be undergoing a major merger. It is a double X‐ray source and is detected in the radio at 1.4 GHz. The purpose of this paper is to investigate signatures of the interaction of the two components. Redshifts were measured to determine velocity dispersions and virial radii of each component. The technique of fuzzy clustering was used to assign membership weights to the galaxies in each clump. Using redshifts of 93 cluster members within 1.4 Mpc of the subcluster centres, the virial masses of the north‐east (NE) and south‐west (SW) components are Mv= 4.1 ± 0.8 × 1014 and 3.8 ± 0.8 × 1014 M⊙, respectively. These agree within the errors with masses from X‐ray scaling relations. The projected velocity difference between the two subclusters is 205 ± 149 km s−1. The anisotropy parameter, β, is found to be low for both components. Spectra of 37 per cent of the spectroscopically observed galaxies show emission lines and are predominantly star forming in the diagnostic diagram. No strong active galactic nucleus sources were found. The emission‐line galaxies tend to lie between the two cluster centres with more near the SW clump. The luminosity functions of the two subclusters differ. The NE component is similar to many rich clusters, while the SW component has more faint galaxies. The NE clump’s light profile follows a single Navarro–Frenk–White profile with c= 10 while the SW is better fitted with an extended outer region and a compact inner core, consistent with available X‐ray data indicating that the SW clump has a cooling core. The observed differences and properties of the two components of Abell 2465 are interpreted to have been caused by a collision 2–4 Gyr ago, after which they have moved apart and are now near their apocentres, although the start of a merger remains a possibility. The number of emission‐line galaxies gives weight to the idea that galaxy cluster collisions trigger star formation.

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“…It may or may not be practical, but if not, there are plenty of other options to contemplate. At least three of them have been discussed in the literature [3,5]. The main thrust of this paper is to draw attention to these alternatives.…”

Section: Introductionmentioning

confidence: 99%

“…Another approach [5] exploits the same basic idea of cancellation, but in a different experimental set-up. The key point is to introduce extra, man-made centrifugal forces into play (in addition to the usual, terrestrial ones).…”

Section: Introductionmentioning

confidence: 99%

Testing MOND on Earth

Ignatiev¹

2015

Can. J. Phys.

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MOND is one of the most popular alternatives to Dark Matter (DM). While efforts to directly detect DM in laboratories have been steadily pursued over the years, the proposed Earth-based tests of MOND are still in their infancy. Some proposals recently appeared in the literature are briefly reviewed, and it is argued that collaborative efforts of theorists and experimenters are needed to move forward in this exciting new area. Possible future directions are outlined.Comment: 9 pages, Invited paper to appear in the special issue of the Canadian Journal of Physic

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Testing the Newton second law in the regime of small accelerations

Cited by 15 publications

References 41 publications

Satellite Test of the Equivalence Principle as a Probe of Modified Newtonian Dynamics

Satellite Test of the Equivalence Principle as a Probe of Modified Newtonian Dynamics

The double galaxy cluster Abell 2465 - I. Basic properties: optical imaging and spectroscopy

Testing MOND on Earth

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