Testing Lorentz Symmetry with Lunar Laser Ranging

Bourgoin, Adrien; Hees, A.; Bouquillon, S.; Poncin-Lafitte, Christophe Le; Francou, G.; Angonin, Marie-Christine

doi:10.1103/physrevlett.117.241301

Cited by 71 publications

(89 citation statements)

References 42 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Competitive bounds in this sector have been established by various experiments and observations [24,25], such as gravimetry [11][12][13], lunar laser ranging [14][15][16] and astrophysics observations [17,18]. Among these, local gravimetry is the one of the easy-to-access and very precise ground-based method.…”

mentioning

confidence: 99%

Limits on Lorentz violation in gravity from worldwide superconducting gravimeters

et al. 2018

View full text Add to dashboard Cite

We have investigated Lorentz violation through analyzing tides-subtracted gravity data measured by superconducting gravimeters. At the level of precision of superconducting gravimeters, we have brought up and resolved an existing issue of accuracy due to unaccounted local tidal effects in previous solid-earth tidal model used. Specifically, we have taken local tides into account with a brand new first-principles tidal model with ocean tides included, as well as removed potential bias from local tides by using a worldwide array of 12 superconducting gravimeters. Compared with previous test with local gravimeters, a more accurate and competitive bound on space-space components of gravitational Lorentz violation has been achieved up to the order of 10 −10 . Einstein's equivalence principle is the foundation of general relativity. It is based on the universality of free fall, local Lorentz invariance and, local position invariance [1,2]. The universality of free fall has been tested up to accuracies of 10 −13 [3][4][5][6]. Local position invariance has been tested, e.g., by gravitational red shift measurement with atom interferometers or clocks [7,8]. In comparison, testing local Lorentz invariance (LLI) is a broad field, as violations of LLI might manifest themselves in the gravity sector itself, or in the matter sectors as well as their coupling [9,10].In the simplest case, violations of LLI in the gravity sector manifest themselves as a dependence of the force of gravity between two objects on the direction of their separation. Competitive bounds in this sector have been established by various experiments and observations [24,25], such as gravimetry [11][12][13], lunar laser ranging [14][15][16] and astrophysics observations [17,18]. Among these, local gravimetry is the one of the easy-to-access and very precise ground-based method. The underlying idea is simple: if the force of gravity is anisotropic, then the local acceleration of free fall on the rotating earth should exhibit a modulation correlated with the earth's rotation. In analyzing such tests, the influence of the sun, the moon and the planets have to be taken out, which is done by subtracting a "tidal model" describing of these influences.However, a persisting problem has been pointed out in previous works [11][12][13] whether a simple first-principles solid-earth tidal model or a more sophisticated empirical model should be used. The simple first-principles solidearth tidal model does not include any Lorentz violation signal. But it's not accurate enough beyond 10 −10 g with- * E-mail:zkhu@mail.hust.edu.cn † E-mail:hm@berkeley.edu out including local tidal effects like ocean tides. At the precision of superconducting gravimeters, it may produce fake Lorentz violating signals [13]. Sophisticated empirical models are a lot more accurate, but it's based on fitting of gravity measurement which itself may contain Lorentz-violating signals. In this work, we have reconciled the conflict with a worldwide network of gravimeters analyzed with first-principle ti...

show abstract

mentioning

confidence: 99%

Limits on Lorentz violation in gravity from worldwide superconducting gravimeters

et al. 2018

View full text Add to dashboard Cite

show abstract

“…From Figure 1, to make the transfer coefficients as large as possible, different angles are chosen in (a) and (b). Based on Equation (22), the larger transfer coefficients Γ j are, the larger LLI violation signal we will achieve, which means the higher limitation of the LLI violation coefficients k jm we will obtain with the same experimental precision. From Equation (19), as θ is involved in the transfer coefficients, we should choose an appropriate angle to make the fourteen transfer coefficients large simultaneously.…”

Section: Experimental Designmentioning

confidence: 99%

“…For LLI violation in matter-gravity couplings, the best current constraints are obtained at 10 −11 GeV [19]. For LLI violation in the pure-gravity part, the experimental classification falls into three parts: experiments on ground [21], solar system [22], and astrophysical measurements [23,24], in which the different limits for different mass dimensions of LLI violation effects are given. For mass dimension d = 4, the best constraints for violating coefficients are obtained at 10 −12 [22] in solar system.…”

Section: Introductionmentioning

confidence: 99%

“…For LLI violation in the pure-gravity part, the experimental classification falls into three parts: experiments on ground [21], solar system [22], and astrophysical measurements [23,24], in which the different limits for different mass dimensions of LLI violation effects are given. For mass dimension d = 4, the best constraints for violating coefficients are obtained at 10 −12 [22] in solar system. In this paper, we focus on searching for LLI violation in pure-gravity sector for d = 6, which has been widely tested by short-range gravitational experiments, since the short-range experiments are better than other experiments to probe higher dimension coefficients with r-dependence.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Experimental Design for Testing Local Lorentz Invariance Violations in Gravity

2017

View full text Add to dashboard Cite

Local Lorentz invariance is an important component of General Relativity. Testing for Local Lorentz invariance can not only probe the foundation stone of General Relativity but also help to explore the unified theory for General Relativity and quantum mechanics. In this paper, we search the Local Lorentz invariance violation associated with operators of mass dimension d = 6 in the pure-gravity sector with short-range gravitational experiments. To enlarge the Local Lorentz invariance violation signal effectively, we design a new experiment in which the constraints of all fourteen violation coefficients may be improved by about one order of magnitude.

show abstract

“…The LLI violation (LLIv) in gravitational interaction modifies the local Lorentzian transformation property of gravitation, and leads to various anomalous phenomena in gravitational experiments [2,3,[7][8][9][10][11], including lunar laser ranging [12,13], atom interferometry [14], pulsar timing [15][16][17][18][19], cosmic rays [20,21], very long baseline interferometry [22], and short-range experiments in laboratory [23][24][25][26]. In this short contribution, I will focus on the recent limits on LLIv obtained from precision pulsar timing experiments [7,[15][16][17][18][19]27,28] in the theoretical frameworks of parametrized post-Newtonian (PPN) gravity [2,29] and the pure gravity sector of the standard-model extension (SME) [1,6,7].…”

Section: Introductionmentioning

confidence: 99%

Experimental Studies on the Lorentz Symmetry in Post-Newtonian Gravity with Pulsars

Shao

2016

Universe

View full text Add to dashboard Cite

Local Lorentz invariance (LLI) is one of the most important fundamental symmetries in modern physics. While the possibility of LLI violation (LLIv) was studied extensively in flat spacetime, its counterpart in gravitational interaction also deserves significant examination from experiments. In this contribution, I review several recent studies of LLI in post-Newtonian gravity, using powerful tools of pulsar timing. It shows that precision pulsar timing experiments hold a unique position to probe LLIv in post-Newtonian gravity.

show abstract

Testing Lorentz Symmetry with Lunar Laser Ranging

Cited by 71 publications

References 42 publications

Limits on Lorentz violation in gravity from worldwide superconducting gravimeters

Limits on Lorentz violation in gravity from worldwide superconducting gravimeters

Experimental Design for Testing Local Lorentz Invariance Violations in Gravity

Experimental Studies on the Lorentz Symmetry in Post-Newtonian Gravity with Pulsars

Contact Info

Product

Resources

About