Searches for beyond-Riemann gravity

Kostelecký, V. Alan; Li, Zonghao

doi:10.1103/physrevd.104.044054

Title: Searches for beyond-Riemann gravity

Journal Article · 19 August 2021 · Physical Review. D.

DOI: https://doi.org/10.1103/physrevd.104.044054 · OSTI ID:1843788

^[1];

^[2]

Indiana Univ., Bloomington, IN (United States); Indiana University
Indiana Univ., Bloomington, IN (United States)

Many effective field theories describing gravity cannot arise from an underlying theory based on Riemann geometry or its extensions to include torsion and nonmetricity but may instead emerge from another geometry or may have a nongeometric basis. The Lagrange density for a broad class of such theories is investigated. The action for fermions coupled to gravity is linearized about a Minkowski background and is found to include terms describing small deviations from Lorentz invariance and gravitational gauge invariance. The corresponding nonrelativistic hamiltonian is derived at second order in the fermion momentum. The implications for laboratory experiments and astrophysical observations with fermions are studied, with primary focus on anomalous spin-gravity couplings. First constraints on some coefficients are extracted from existing data obtained via measurements at different potentials, comparisons of gravitational accelerations, interferometric methods, and investigations of gravitational bound states. As a result, some prospects for future experimental studies are discussed.

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Research Organization:: Indiana Univ., Bloomington, IN (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: SC0010120

OSTI ID:: 1843788

Journal Information:: Physical Review. D., Journal Name: Physical Review. D. Journal Issue: 4 Vol. 104; ISSN 2470-0010

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (157)

Beiträge zum Gesetze der Proportionalität von Trägheit und Gravität v. Eötvös, Roland; Pekár, Desiderius; Fekete, Eugen Annalen der Physik, Vol. 373, Issue 9 https://doi.org/10.1002/andp.19223730903	journal	January 1922
Dirac particle, gravity, and inertial effects Huang, Justin C. Annalen der Physik, Vol. 506, Issue 1 https://doi.org/10.1002/andp.19945060107	journal	January 1994
Antihydrogen and Fundamental Physics Charlton, Michael; Eriksson, Stefan; Shore, Graham M. SpringerBriefs in Physics https://doi.org/10.1007/978-3-030-51713-7	book	January 2020
Quantum mechanics of electromagnetically bounded spin-1/2 particles in expanding universes: II. Energy spectrum of the hydrogen atom Audretsch, J.; Sch�fer, G. General Relativity and Gravitation, Vol. 9, Issue 6 https://doi.org/10.1007/BF00759543	journal	June 1978
�ber die magnetischen Momente der Atomkerne Schmidt, Th. Zeitschrift f�r Physik, Vol. 106, Issue 5-6 https://doi.org/10.1007/BF01338744	journal	May 1937
Einige Folgerungen aus der Schr�dingerschen Theorie f�r die Termstrukturen Wigner, E. Zeitschrift f�r Physik, Vol. 43, Issue 9-10 https://doi.org/10.1007/BF01397327	journal	September 1927
Representations of Dirac equation in general relativity de Oliveira, C. G.; Tiomno, J. Il Nuovo Cimento, Vol. 24, Issue 4 https://doi.org/10.1007/BF02816716	journal	May 1962
The Gbar project, or how does antimatter fall? Indelicato, Paul; Chardin, G.; Grandemange, P. Hyperfine Interactions, Vol. 228, Issue 1-3 https://doi.org/10.1007/s10751-014-1019-6	journal	February 2014
Measuring the gravitational free-fall of antihydrogen Storey, J.; Aghion, S.; Ahlén, O. Hyperfine Interactions, Vol. 228, Issue 1-3 https://doi.org/10.1007/s10751-014-1055-2	journal	May 2014
The level structures of 85, 87Sr from (d, p) reactions Morton, J. M.; Davies, W. G.; Mclatchie, W. Nuclear Physics A, Vol. 161, Issue 1 https://doi.org/10.1016/0375-9474(71)90330-7	journal	January 1971
Final report on the CERN muon storage ring including the anomalous magnetic moment and the electric dipole moment of the muon, and a direct test of relativistic time dilation Bailey, J.; Borer, K.; Combley, F. Nuclear Physics B, Vol. 150 https://doi.org/10.1016/0550-3213(79)90292-X	journal	January 1979
CPT and strings Alan Kostelecký, V.; Potting, Robertus Nuclear Physics B, Vol. 359, Issue 2-3 https://doi.org/10.1016/0550-3213(91)90071-5	journal	August 1991
Aharonov–Bohm and gravity experiments with the very-cold-neutron interferometer van der Zouw, G.; Weber, M.; Felber, J. Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 440, Issue 3 https://doi.org/10.1016/S0168-9002(99)01038-4	journal	February 2000
Gravity field models from kinematic orbits of CHAMP, GRACE and GOCE satellites Bezděk, Aleš; Sebera, Josef; Klokočník, Jaroslav Advances in Space Research, Vol. 53, Issue 3 https://doi.org/10.1016/j.asr.2013.11.031	journal	February 2014
Astrophysical limits on Lorentz violation for all charged species Altschul, Brett Astroparticle Physics, Vol. 28, Issue 3 https://doi.org/10.1016/j.astropartphys.2007.08.003	journal	November 2007
Characterization of the global network of optical magnetometers to search for exotic physics (GNOME) Afach, S.; Budker, D.; DeCamp, G. Physics of the Dark Universe, Vol. 22 https://doi.org/10.1016/j.dark.2018.10.002	journal	December 2018
Proposed antimatter gravity measurement with an antihydrogen beam Kellerbauer, A.; Amoretti, M.; Belov, A. S. Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms, Vol. 266, Issue 3 https://doi.org/10.1016/j.nimb.2007.12.010	journal	February 2008
Riemann–Finsler geometry and Lorentz-violating kinematics Kostelecký, V. Alan Physics Letters B, Vol. 701, Issue 1 https://doi.org/10.1016/j.physletb.2011.05.041	journal	June 2011
Bipartite Riemann–Finsler geometry and Lorentz violation Alan Kostelecký, V.; Russell, N.; Tso, R. Physics Letters B, Vol. 716, Issue 3-5 https://doi.org/10.1016/j.physletb.2012.09.002	journal	October 2012
A first experimental limit on in-matter torsion from neutron spin rotation in liquid 4He Lehnert, Ralf; Snow, W. M.; Yan, H. Physics Letters B, Vol. 730 https://doi.org/10.1016/j.physletb.2014.01.063	journal	March 2014
Classical-physics applications for Finsler b space Foster, Joshua; Lehnert, Ralf Physics Letters B, Vol. 746 https://doi.org/10.1016/j.physletb.2015.04.047	journal	June 2015
Extended hamiltonian formalism and Lorentz-violating lagrangians Colladay, Don Physics Letters B, Vol. 772 https://doi.org/10.1016/j.physletb.2017.07.027	journal	September 2017
Constraining spacetime nonmetricity with neutron spin rotation in liquid 4 He Lehnert, Ralf; Snow, W. M.; Xiao, Zhi Physics Letters B, Vol. 772 https://doi.org/10.1016/j.physletb.2017.07.059	journal	September 2017
Riemann–Finsler geometry and Lorentz-violating scalar fields Edwards, Benjamin R.; Kostelecký, V. Alan Physics Letters B, Vol. 786 https://doi.org/10.1016/j.physletb.2018.10.011	journal	November 2018
Classical Lagrangians for the nonminimal Standard-Model Extension at higher orders in Lorentz violation Schreck, Marco Physics Letters B, Vol. 793 https://doi.org/10.1016/j.physletb.2019.04.021	journal	June 2019
Probing of violation of Lorentz invariance by ultracold neutrons in the Standard Model Extension Ivanov, A. N.; Wellenzohn, M.; Abele, H. Physics Letters B, Vol. 797 https://doi.org/10.1016/j.physletb.2019.134819	journal	October 2019
Bipartite-Finsler symmetries Silva, J. E. G.; Maluf, R. V.; Almeida, C. A. S. Physics Letters B, Vol. 798 https://doi.org/10.1016/j.physletb.2019.135009	journal	November 2019
Test of Einstein Equivalence Principle by frequency comparisons of optical clocks Qin, ChengGang; Tan, YuJie; Shao, ChengGang Physics Letters B, Vol. 820 https://doi.org/10.1016/j.physletb.2021.136471	journal	September 2021
Precision gravity tests and the Einstein Equivalence Principle Tino, G. M.; Cacciapuoti, L.; Capozziello, S. Progress in Particle and Nuclear Physics, Vol. 112 https://doi.org/10.1016/j.ppnp.2020.103772	journal	May 2020
Quantum states of neutrons in the Earth's gravitational field Nesvizhevsky, Valery V.; Börner, Hans G.; Petukhov, Alexander K. Nature, Vol. 415, Issue 6869 https://doi.org/10.1038/415297a	journal	January 2002
A parts-per-billion measurement of the antiproton magnetic moment Smorra, C.; Sellner, S.; Borchert, M. J. Nature, Vol. 550, Issue 7676 https://doi.org/10.1038/nature24048	journal	October 2017
Description and first application of a new technique to measure the gravitational mass of antihydrogen Charman, A. E. Nature Communications, Vol. 4, Issue 1 https://doi.org/10.1038/ncomms2787	journal	April 2013
A moiré deflectometer for antimatter Aghion, S.; Ahlén, O.; Amsler, C. Nature Communications, Vol. 5, Issue 1 https://doi.org/10.1038/ncomms5538	journal	July 2014
Acoustic Rabi oscillations between gravitational quantum states and impact on symmetron dark energy Cronenberg, Gunther; Brax, Philippe; Filter, Hanno Nature Physics, Vol. 14, Issue 10 https://doi.org/10.1038/s41567-018-0205-x	journal	July 2018
Optical clock comparison for Lorentz symmetry testing Sanner, Christian; Huntemann, Nils; Lange, Richard Nature, Vol. 567, Issue 7747 https://doi.org/10.1038/s41586-019-0972-2	journal	March 2019
Nonrelativistic quantum Hamiltonian for Lorentz violation Kostelecký, V. Alan; Lane, Charles D. Journal of Mathematical Physics, Vol. 40, Issue 12 https://doi.org/10.1063/1.533090	journal	December 1999
Searches for the role of spin and polarization in gravity Ni, Wei-Tou Reports on Progress in Physics, Vol. 73, Issue 5 https://doi.org/10.1088/0034-4885/73/5/056901	journal	April 2010
Testing the Universality of Free Fall by Comparing the Atoms in Different Hyperfine States with Bragg Diffraction* Zhang, Ke; Zhou, Min-Kang; Cheng, Yuan Chinese Physics Letters, Vol. 37, Issue 4 https://doi.org/10.1088/0256-307X/37/4/043701	journal	April 2020
The GBAR experiment: gravitational behaviour of antihydrogen at rest Perez, P.; Sacquin, Y. Classical and Quantum Gravity, Vol. 29, Issue 18 https://doi.org/10.1088/0264-9381/29/18/184008	journal	August 2012
Fermion observables for Lorentz violation Fittante, A.; Russell, N. Journal of Physics G: Nuclear and Particle Physics, Vol. 39, Issue 12 https://doi.org/10.1088/0954-3899/39/12/125004	journal	November 2012
Finsler–Randers cosmology: dynamical analysis and growth of matter perturbations Papagiannopoulos, G.; Basilakos, S.; Paliathanasis, A. Classical and Quantum Gravity, Vol. 34, Issue 22 https://doi.org/10.1088/1361-6382/aa8be1	journal	October 2017
On Finsler spacetimes with a timelike Killing vector field Caponio, Erasmo; Stancarone, Giuseppe Classical and Quantum Gravity, Vol. 35, Issue 8 https://doi.org/10.1088/1361-6382/aab0d9	journal	March 2018
Weak field equations and generalized FRW cosmology on the tangent Lorentz bundle Triantafyllopoulos, A.; Stavrinos, P. C. Classical and Quantum Gravity, Vol. 35, Issue 8 https://doi.org/10.1088/1361-6382/aab27f	journal	March 2018
The CPT-violating effects on neutrons’ gravitational bound state Xiao, Zhi; Shao, Lijing Journal of Physics G: Nuclear and Particle Physics, Vol. 47, Issue 8 https://doi.org/10.1088/1361-6471/ab8c30	journal	July 2020
Gravitation and quantum interference experiments with neutrons Abele, Hartmut; Leeb, Helmut New Journal of Physics, Vol. 14, Issue 5 https://doi.org/10.1088/1367-2630/14/5/055010	journal	May 2012
Parity, Charge Conjugation, and Time Reversal in the Gravitational Interaction Leitner, J.; Okubo, S. Physical Review, Vol. 136, Issue 5B https://doi.org/10.1103/PhysRev.136.B1542	journal	December 1964
On the Dirac Theory of Spin 1/2 Particles and Its Non-Relativistic Limit Foldy, Leslie L.; Wouthuysen, Siegfried A. Physical Review, Vol. 78, Issue 1 https://doi.org/10.1103/PhysRev.78.29	journal	April 1950
Gravity and inertia in quantum mechanics Staudenmann, J. -L.; Werner, S. A.; Colella, R. Physical Review A, Vol. 21, Issue 5 https://doi.org/10.1103/PhysRevA.21.1419	journal	May 1980
Two-wavelength-difference measurement of gravitationally induced quantum interference phases Littrell, K. C.; Allman, B. E.; Werner, S. A. Physical Review A, Vol. 56, Issue 3 https://doi.org/10.1103/PhysRevA.56.1767	journal	September 1997
Limits on local Lorentz invariance in mercury and cesium Peck, S. K.; Kim, D. K.; Stein, D. Physical Review A, Vol. 86, Issue 1 https://doi.org/10.1103/PhysRevA.86.012109	journal	July 2012
Measurement of gravitation-induced quantum interference for neutrons in a spin-echo spectrometer de Haan, Victor-O.; Plomp, Jeroen; van Well, Ad A. Physical Review A, Vol. 89, Issue 6 https://doi.org/10.1103/PhysRevA.89.063611	journal	June 2014
Proton states in Rb 87 Medsker, L. R.; Fortune, H. T.; Headley, S. C. Physical Review C, Vol. 12, Issue 5 https://doi.org/10.1103/PhysRevC.12.1516	journal	November 1975
Gravity with explicit spacetime symmetry breaking and the standard model extension Bluhm, Robert; Bossi, Hannah; Wen, Yuewei Physical Review D, Vol. 100, Issue 8 https://doi.org/10.1103/PhysRevD.100.084022	journal	October 2019
Phenomenological consequences of a geometry in the cotangent bundle Relancio, J. J.; Liberati, S. Physical Review D, Vol. 101, Issue 6 https://doi.org/10.1103/PhysRevD.101.064062	journal	March 2020
Backgrounds in gravitational effective field theory Kostelecký, V. Alan; Li, Zonghao Physical Review D, Vol. 103, Issue 2 https://doi.org/10.1103/PhysRevD.103.024059	journal	January 2021
Classical Lagrangians for the nonminimal spin-nondegenerate Standard-Model extension at higher orders in Lorentz violation Reis, João A. A. S.; Schreck, Marco Physical Review D, Vol. 103, Issue 9 https://doi.org/10.1103/PhysRevD.103.095029	journal	May 2021
Test of equivalence principle for particles with spin Peres, Asher Physical Review D, Vol. 18, Issue 8 https://doi.org/10.1103/PhysRevD.18.2739	journal	October 1978
One-electron atom as a probe of spacetime curvature Parker, Leonard Physical Review D, Vol. 22, Issue 8 https://doi.org/10.1103/PhysRevD.22.1922	journal	October 1980
General-relativistic effects in hydrogenic systems Fischbach, Ephraim; Freeman, Belvin S.; Cheng, Wen-Kwei Physical Review D, Vol. 23, Issue 10 https://doi.org/10.1103/PhysRevD.23.2157	journal	May 1981
Spontaneous breaking of Lorentz symmetry in string theory Kostelecký, V. Alan; Samuel, Stuart Physical Review D, Vol. 39, Issue 2 https://doi.org/10.1103/PhysRevD.39.683	journal	January 1989
Inertial effects of a Dirac particle Hehl, Friedrich W.; Ni, Wei-Tou Physical Review D, Vol. 42, Issue 6 https://doi.org/10.1103/PhysRevD.42.2045	journal	September 1990
CPT , strings, and meson factories Kostelecký, V. Alan; Potting, Robertus Physical Review D, Vol. 51, Issue 7 https://doi.org/10.1103/PhysRevD.51.3923	journal	April 1995
CPT violation and the standard model Colladay, Don; Kostelecký, V. Alan Physical Review D, Vol. 55, Issue 11 https://doi.org/10.1103/PhysRevD.55.6760	journal	June 1997
Lorentz-violating extension of the standard model Colladay, D.; Kostelecký, V. Alan Physical Review D, Vol. 58, Issue 11 https://doi.org/10.1103/PhysRevD.58.116002	journal	October 1998
Constraints on Lorentz violation from clock-comparison experiments Kostelecký, V. Alan; Lane, Charles D. Physical Review D, Vol. 60, Issue 11 https://doi.org/10.1103/PhysRevD.60.116010	journal	November 1999
Comparing the effects of curved space and noninertial frames on spin 1/2 particles Varjú, Katalin; Ryder, Lewis H. Physical Review D, Vol. 62, Issue 2 https://doi.org/10.1103/PhysRevD.62.024016	journal	June 2000
Stability, causality, and Lorentz and CPT violation Kostelecký, V. Alan; Lehnert, Ralf Physical Review D, Vol. 63, Issue 6 https://doi.org/10.1103/PhysRevD.63.065008	journal	February 2001
Signals for Lorentz violation in electrodynamics Kostelecký, V. Alan; Mewes, Matthew Physical Review D, Vol. 66, Issue 5 https://doi.org/10.1103/PhysRevD.66.056005	journal	September 2002
Measurement of quantum states of neutrons in the Earth’s gravitational field Nesvizhevsky, V. V.; Börner, H. G.; Gagarski, A. M. Physical Review D, Vol. 67, Issue 10 https://doi.org/10.1103/PhysRevD.67.102002	journal	May 2003
Probing Lorentz and CPT violation with space-based experiments Bluhm, Robert; Kostelecký, V. Alan; Lane, Charles D. Physical Review D, Vol. 68, Issue 12 https://doi.org/10.1103/PhysRevD.68.125008	journal	December 2003
Gravity, Lorentz violation, and the standard model Kostelecký, V. Alan Physical Review D, Vol. 69, Issue 10 https://doi.org/10.1103/PhysRevD.69.105009	journal	May 2004
Semiclassical limit for Dirac particles interacting with a gravitational field Silenko, Alexander J.; Teryaev, Oleg V. Physical Review D, Vol. 71, Issue 6 https://doi.org/10.1103/PhysRevD.71.064016	journal	March 2005
Probing Lorentz violation with Doppler-shift experiments Lane, Charles D. Physical Review D, Vol. 72, Issue 1 https://doi.org/10.1103/PhysRevD.72.016005	journal	July 2005
Synchrotron and inverse Compton constraints on Lorentz violations for electrons Altschul, Brett Physical Review D, Vol. 74, Issue 8 https://doi.org/10.1103/PhysRevD.74.083003	journal	October 2006
Bounds on spin-dependent Lorentz violation from inverse Compton observations Altschul, Brett Physical Review D, Vol. 75, Issue 4 https://doi.org/10.1103/PhysRevD.75.041301	journal	February 2007
Limits on neutron Lorentz violation from the stability of primary cosmic ray protons Altschul, Brett Physical Review D, Vol. 78, Issue 8 https://doi.org/10.1103/PhysRevD.78.085018	journal	October 2008
Preferred-frame and C P -violation tests with polarized electrons Heckel, B. R.; Adelberger, E. G.; Cramer, C. E. Physical Review D, Vol. 78, Issue 9 https://doi.org/10.1103/PhysRevD.78.092006	journal	November 2008
Hermiticity of the Dirac Hamiltonian in curved spacetime Huang, Xing; Parker, Leonard Physical Review D, Vol. 79, Issue 2 https://doi.org/10.1103/PhysRevD.79.024020	journal	January 2009
Electrodynamics with Lorentz-violating operators of arbitrary dimension Kostelecký, V. Alan; Mewes, Matthew Physical Review D, Vol. 80, Issue 1 https://doi.org/10.1103/PhysRevD.80.015020	journal	July 2009
Exact Foldy-Wouthuysen transformation for a Dirac spinor in torsion and other C P T and Lorentz violating backgrounds Gonçalves, Bruno; Obukhov, Yuri N.; Shapiro, Ilya L. Physical Review D, Vol. 80, Issue 12 https://doi.org/10.1103/PhysRevD.80.125034	journal	December 2009
Matter-gravity couplings and Lorentz violation Kostelecký, V. Alan; Tasson, Jay D. Physical Review D, Vol. 83, Issue 1 https://doi.org/10.1103/PhysRevD.83.016013	journal	January 2011
Neutrinos with Lorentz-violating operators of arbitrary dimension Kostelecký, V. Alan; Mewes, Matthew Physical Review D, Vol. 85, Issue 9 https://doi.org/10.1103/PhysRevD.85.096005	journal	May 2012
Fermions with Lorentz-violating operators of arbitrary dimension Kostelecký, V. Alan; Mewes, Matthew Physical Review D, Vol. 88, Issue 9 https://doi.org/10.1103/PhysRevD.88.096006	journal	November 2013
Lorentz violation in a uniform Newtonian gravitational field Bonder, Yuri Physical Review D, Vol. 88, Issue 10 https://doi.org/10.1103/PhysRevD.88.105011	journal	November 2013
Laboratory tests of Lorentz and C P T symmetry with muons Gomes, André H.; Kostelecký, V. Alan; Vargas, Arnaldo J. Physical Review D, Vol. 90, Issue 7 https://doi.org/10.1103/PhysRevD.90.076009	journal	October 2014
Exact Foldy-Wouthuysen transformation for a Dirac theory with the complete set of C P T -Lorentz invariance violating terms Gonçalves, Bruno; Dias Júnior, Mário M.; Ribeiro, Baltazar J. Physical Review D, Vol. 90, Issue 8 https://doi.org/10.1103/PhysRevD.90.085026	journal	October 2014
Parity-violating interactions of cosmic fields with atoms, molecules, and nuclei: Concepts and calculations for laboratory searches and extracting limits Roberts, B. M.; Stadnik, Y. V.; Dzuba, V. A. Physical Review D, Vol. 90, Issue 9 https://doi.org/10.1103/PhysRevD.90.096005	journal	November 2014
Finsler-like structures from Lorentz-breaking classical particles Russell, Neil Physical Review D, Vol. 91, Issue 4 https://doi.org/10.1103/PhysRevD.91.045008	journal	February 2015
Explicit versus spontaneous diffeomorphism breaking in gravity Bluhm, Robert Physical Review D, Vol. 91, Issue 6 https://doi.org/10.1103/PhysRevD.91.065034	journal	March 2015
Lorentz and C P T tests with hydrogen, antihydrogen, and related systems Kostelecký, V. Alan; Vargas, Arnaldo J. Physical Review D, Vol. 92, Issue 5 https://doi.org/10.1103/PhysRevD.92.056002	journal	September 2015
Spacetime symmetry breaking and Einstein-Maxwell theory Bluhm, Robert Physical Review D, Vol. 92, Issue 8 https://doi.org/10.1103/PhysRevD.92.085015	journal	October 2015
Question of Lorentz violation in muon decay Noordmans, J. P.; Onderwater, C. J. G.; Wilschut, H. W. Physical Review D, Vol. 93, Issue 11 https://doi.org/10.1103/PhysRevD.93.116001	journal	June 2016
Spacetime variation of Lorentz-violation coefficients at a nonrelativistic scale Lane, Charles D. Physical Review D, Vol. 94, Issue 2 https://doi.org/10.1103/PhysRevD.94.025016	journal	July 2016
Lorentz-violating spinor electrodynamics and Penning traps Ding, Yunhua; Kostelecký, V. Alan Physical Review D, Vol. 94, Issue 5 https://doi.org/10.1103/PhysRevD.94.056008	journal	September 2016
Noether identities in gravity theories with nondynamical backgrounds and explicit spacetime symmetry breaking Bluhm, Robert; Šehić, Amar Physical Review D, Vol. 94, Issue 10 https://doi.org/10.1103/PhysRevD.94.104034	journal	November 2016
Affine sphere spacetimes which satisfy the relativity principle Minguzzi, E. Physical Review D, Vol. 95, Issue 2 https://doi.org/10.1103/PhysRevD.95.024019	journal	January 2017
Lorentz-symmetry test at Planck-scale suppression with nucleons in a spin-polarized Cs 133 cold atom clock Pihan-Le Bars, H.; Guerlin, C.; Lasseri, R. -D. Physical Review D, Vol. 95, Issue 7 https://doi.org/10.1103/PhysRevD.95.075026	journal	April 2017
Constraints on nonmetricity from bounds on Lorentz violation Foster, Joshua; Kostelecký, V. Alan; Xu, Rui Physical Review D, Vol. 95, Issue 8 https://doi.org/10.1103/PhysRevD.95.084033	journal	April 2017
Constraints on long-range spin-gravity and monopole-dipole couplings of the proton Jackson Kimball, Derek F.; Dudley, Jordan; Li, Yan Physical Review D, Vol. 96, Issue 7 https://doi.org/10.1103/PhysRevD.96.075004	journal	October 2017
Muon anomalous magnetic moment in the standard model extension Aghababaei, S.; Haghighat, M.; Motie, I. Physical Review D, Vol. 96, Issue 11 https://doi.org/10.1103/PhysRevD.96.115028	journal	December 2017
Covariant electrodynamics in linear media: Optical metric Thompson, Robert T. Physical Review D, Vol. 97, Issue 6 https://doi.org/10.1103/PhysRevD.97.065001	journal	March 2018
Leading-order classical Lagrangians for the nonminimal standard-model extension Reis, J. A. A. S.; Schreck, M. Physical Review D, Vol. 97, Issue 6 https://doi.org/10.1103/PhysRevD.97.065019	journal	March 2018
Testing Lorentz and C P T invariance with ultracold neutrons Martín-Ruiz, A.; Escobar, C. A. Physical Review D, Vol. 97, Issue 9 https://doi.org/10.1103/PhysRevD.97.095039	journal	May 2018
Lorentz-violating scalar Hamiltonian and the equivalence principle in a static metric Xiao, Zhi Physical Review D, Vol. 98, Issue 3 https://doi.org/10.1103/PhysRevD.98.035018	journal	August 2018
Lorentz and C P T tests with clock-comparison experiments Kostelecký, V. Alan; Vargas, Arnaldo J. Physical Review D, Vol. 98, Issue 3 https://doi.org/10.1103/PhysRevD.98.036003	journal	August 2018
Special Finslerian generalization of the Reissner-Nordström spacetime Li, Xin Physical Review D, Vol. 98, Issue 8 https://doi.org/10.1103/PhysRevD.98.084030	journal	October 2018
Gauge field theories with Lorentz-violating operators of arbitrary dimension Kostelecký, V. Alan; Li, Zonghao Physical Review D, Vol. 99, Issue 5 https://doi.org/10.1103/PhysRevD.99.056016	journal	March 2019
Gravitational searches for Lorentz violation with ultracold neutrons Escobar, C. A.; Martín-Ruiz, A. Physical Review D, Vol. 99, Issue 7 https://doi.org/10.1103/PhysRevD.99.075032	journal	April 2019
Exact Foldy-Wouthuysen transformation for a Dirac theory revisited Gonçalves, Bruno; Dias Júnior, Mário M.; Ribeiro, Baltazar J. Physical Review D, Vol. 99, Issue 9 https://doi.org/10.1103/PhysRevD.99.096015	journal	May 2019
Search for Lorentz and C P T Violation Effects in Muon Spin Precession Bennett, G. W.; Bousquet, B.; Brown, H. N. Physical Review Letters, Vol. 100, Issue 9 https://doi.org/10.1103/PhysRevLett.100.091602	journal	March 2008
Constraints on Torsion from Bounds on Lorentz Violation Kostelecký, V. Alan; Russell, Neil; Tasson, Jay D. Physical Review Letters, Vol. 100, Issue 11 https://doi.org/10.1103/PhysRevLett.100.111102	journal	March 2008
New Limit on Lorentz- and C P T -Violating Neutron Spin Interactions Brown, J. M.; Smullin, S. J.; Kornack, T. W. Physical Review Letters, Vol. 105, Issue 15 https://doi.org/10.1103/PhysRevLett.105.151604	journal	October 2010
Equivalence Principle and Gravitational Redshift Hohensee, Michael A.; Chu, Steven; Peters, Achim Physical Review Letters, Vol. 106, Issue 15 https://doi.org/10.1103/PhysRevLett.106.151102	journal	April 2011
New Test of Local Lorentz Invariance Using a Ne 21 − Rb − K Comagnetometer Smiciklas, M.; Brown, J. M.; Cheuk, L. W. Physical Review Letters, Vol. 107, Issue 17 https://doi.org/10.1103/PhysRevLett.107.171604	journal	October 2011
Constraints on Spin-Dependent Short-Range Interaction between Nucleons Tullney, K.; Allmendinger, F.; Burghoff, M. Physical Review Letters, Vol. 111, Issue 10 https://doi.org/10.1103/PhysRevLett.111.100801	journal	September 2013
New Limit on Lorentz-Invariance- and C P T -Violating Neutron Spin Interactions Using a Free-Spin-Precession He 3 - Xe 129 Comagnetometer Allmendinger, F.; Heil, W.; Karpuk, S. Physical Review Letters, Vol. 112, Issue 11 https://doi.org/10.1103/PhysRevLett.112.110801	journal	March 2014
Antimatter Interferometry for Gravity Measurements Hamilton, Paul; Zhmoginov, Andrey; Robicheaux, Francis Physical Review Letters, Vol. 112, Issue 12 https://doi.org/10.1103/PhysRevLett.112.121102	journal	March 2014
Test of Einstein Equivalence Principle for 0-Spin and Half-Integer-Spin Atoms: Search for Spin-Gravity Coupling Effects Tarallo, M. G.; Mazzoni, T.; Poli, N. Physical Review Letters, Vol. 113, Issue 2 https://doi.org/10.1103/PhysRevLett.113.023005	journal	July 2014
Limiting P -Odd Interactions of Cosmic Fields with Electrons, Protons, and Neutrons Roberts, B. M.; Stadnik, Y. V.; Dzuba, V. A. Physical Review Letters, Vol. 113, Issue 8 https://doi.org/10.1103/PhysRevLett.113.081601	journal	August 2014
Test of Time Dilation Using Stored Li + Ions as Clocks at Relativistic Speed Botermann, Benjamin; Bing, Dennis; Geppert, Christopher Physical Review Letters, Vol. 113, Issue 12 https://doi.org/10.1103/PhysRevLett.113.120405	journal	September 2014
Erratum: Test of Time Dilation Using Stored Li + Ions as Clocks at Relativistic Speed [Phys. Rev. Lett. 113 , 120405 (2014)] Botermann, Benjamin; Bing, Dennis; Geppert, Christopher Physical Review Letters, Vol. 114, Issue 23 https://doi.org/10.1103/PhysRevLett.114.239902	journal	June 2015
Test of the Universality of Free Fall with Atoms in Different Spin Orientations Duan, Xiao-Chun; Deng, Xiao-Bing; Zhou, Min-Kang Physical Review Letters, Vol. 117, Issue 2 https://doi.org/10.1103/PhysRevLett.117.023001	journal	July 2016
Enhancing the Effect of Lorentz Invariance and Einstein’s Equivalence Principle Violation in Nuclei and Atoms Flambaum, V. V. Physical Review Letters, Vol. 117, Issue 7 https://doi.org/10.1103/PhysRevLett.117.072501	journal	August 2016
Effects of the Lorentz Invariance Violation on Coulomb Interactions in Nuclei and Atoms Flambaum, V. V.; Romalis, M. V. Physical Review Letters, Vol. 118, Issue 14 https://doi.org/10.1103/PhysRevLett.118.142501	journal	April 2017
Superconducting-Gravimeter Tests of Local Lorentz Invariance Flowers, Natasha A.; Goodge, Casey; Tasson, Jay D. Physical Review Letters, Vol. 119, Issue 20 https://doi.org/10.1103/PhysRevLett.119.201101	journal	November 2017
Atom-Interferometric Test of the Equivalence Principle at the 10 − 12 Level Asenbaum, Peter; Overstreet, Chris; Kim, Minjeong Physical Review Letters, Vol. 125, Issue 19 https://doi.org/10.1103/PhysRevLett.125.191101	journal	November 2020
Measurement of the Positive Muon Anomalous Magnetic Moment to 0.46 ppm Abi, B.; Albahri, T.; Al-Kilani, S. Physical Review Letters, Vol. 126, Issue 14 https://doi.org/10.1103/PhysRevLett.126.141801	journal	April 2021
Observation of Gravitationally Induced Quantum Interference Colella, R.; Overhauser, A. W.; Werner, S. A. Physical Review Letters, Vol. 34, Issue 23 https://doi.org/10.1103/PhysRevLett.34.1472	journal	June 1975
Test for C , P , and T Nonconservation in Gravitation Dass, N. D. Hari Physical Review Letters, Vol. 36, Issue 8 https://doi.org/10.1103/PhysRevLett.36.393	journal	February 1976
Limits for Spatial Anisotropy by Use of Nuclear-Spin-Polarized Be + 9 Ions Prestage, J. D.; Bollinger, J. J.; Itano, Wayne M. Physical Review Letters, Vol. 54, Issue 22 https://doi.org/10.1103/PhysRevLett.54.2387	journal	June 1985
Results of a new test of local Lorentz invariance: A search for mass anisotropy in Ne 21 Chupp, T. E.; Hoare, R. J.; Loveman, R. A. Physical Review Letters, Vol. 63, Issue 15 https://doi.org/10.1103/PhysRevLett.63.1541	journal	October 1989
Neutrino helicity flip from gravity-spin coupling Cai, Y. Q.; Papini, G. Physical Review Letters, Vol. 66, Issue 10 https://doi.org/10.1103/PhysRevLett.66.1259	journal	March 1991
Search for a coupling of the Earth’s gravitational field to nuclear spins in atomic mercury Venema, B. J.; Majumder, P. K.; Lamoreaux, S. K. Physical Review Letters, Vol. 68, Issue 2 https://doi.org/10.1103/PhysRevLett.68.135	journal	January 1992
New Limits on Local Lorentz Invariance from Hg and Cs Magnetometers Berglund, C. J.; Hunter, L. R.; Krause, Jr., D. Physical Review Letters, Vol. 75, Issue 10 https://doi.org/10.1103/PhysRevLett.75.1879	journal	September 1995
Limits on Spin-Mass Couplings within the Axion Window Youdin, A. N.; Krause, Jr., D.; Jagannathan, K. Physical Review Letters, Vol. 77, Issue 11 https://doi.org/10.1103/PhysRevLett.77.2170	journal	September 1996
CPT and Lorentz Tests with Muons Bluhm, Robert; Kostelecký, V. Alan; Lane, Charles D. Physical Review Letters, Vol. 84, Issue 6 https://doi.org/10.1103/PhysRevLett.84.1098	journal	February 2000
Spin, Gravity, and Inertia Obukhov, Yuri N. Physical Review Letters, Vol. 86, Issue 2 https://doi.org/10.1103/PhysRevLett.86.192	journal	January 2001
Test of CPT and Lorentz Invariance from Muonium Spectroscopy Hughes, V. W.; Perdekamp, M. Grosse; Kawall, D. Physical Review Letters, Vol. 87, Issue 11 https://doi.org/10.1103/PhysRevLett.87.111804	journal	August 2001
Clock-Comparison Tests of Lorentz and CPT Symmetry in Space Bluhm, Robert; Kostelecký, V. Alan; Lane, Charles D. Physical Review Letters, Vol. 88, Issue 9 https://doi.org/10.1103/PhysRevLett.88.090801	journal	February 2002
Test of Cosmic Spatial Isotropy for Polarized Electrons Using a Rotatable Torsion Balance Hou, Li-Shing; Ni, Wei-Tou; Li, Yu-Chu M. Physical Review Letters, Vol. 90, Issue 20 https://doi.org/10.1103/PhysRevLett.90.201101	journal	May 2003
Bound on Lorentz and C P T Violating Boost Effects for the Neutron Canè, F.; Bear, D.; Phillips, D. F. Physical Review Letters, Vol. 93, Issue 23 https://doi.org/10.1103/PhysRevLett.93.230801	journal	November 2004
Cold Atom Clock Test of Lorentz Invariance in the Matter Sector Wolf, Peter; Chapelet, Fréderic; Bize, Sébastien Physical Review Letters, Vol. 96, Issue 6 https://doi.org/10.1103/PhysRevLett.96.060801	journal	February 2006
Tests of Relativity by Complementary Rotating Michelson-Morley Experiments Müller, Holger; Stanwix, Paul Louis; Tobar, Michael Edmund Physical Review Letters, Vol. 99, Issue 5 https://doi.org/10.1103/PhysRevLett.99.050401	journal	July 2007
Acoustic Tests of Lorentz Symmetry Using Quartz Oscillators Lo, Anthony; Haslinger, Philipp; Mizrachi, Eli Physical Review X, Vol. 6, Issue 1 https://doi.org/10.1103/PhysRevX.6.011018	journal	February 2016
The Application of Group theory to the Quantum Dynamics of Monatomic Systems Eckart, Carl Reviews of Modern Physics, Vol. 2, Issue 3 https://doi.org/10.1103/RevModPhys.2.305	journal	July 1930
Data tables for Lorentz and C P T violation Kostelecký, V. Alan; Russell, Neil Reviews of Modern Physics, Vol. 83, Issue 1 https://doi.org/10.1103/RevModPhys.83.11	journal	March 2011
Nuclear spin-dependent interactions: searches for WIMP, axion and topological defect dark matter, and tests of fundamental symmetries Stadnik, Y. V.; Flambaum, V. V. The European Physical Journal C, Vol. 75, Issue 3 https://doi.org/10.1140/epjc/s10052-015-3326-8	journal	March 2015
Neutrino oscillations and Lorentz invariance violation in a Finslerian geometrical model Antonelli, Vito; Miramonti, L.; Torri, M. D. C. The European Physical Journal C, Vol. 78, Issue 8 https://doi.org/10.1140/epjc/s10052-018-6124-2	journal	August 2018
Study of the neutron quantum states in the gravity field Nesvizhevsky, V. V.; Petukhov, A. K.; Börner, H. G. The European Physical Journal C, Vol. 40, Issue 4 https://doi.org/10.1140/epjc/s2005-02135-y	journal	April 2005
Quasi-stationary solutions in gravity theories with modified dispersion relations and Finsler–Lagrange–Hamilton Geometry Bubuianu, Laurenţiu; Vacaru, Sergiu I. The European Physical Journal Plus, Vol. 135, Issue 2 https://doi.org/10.1140/epjp/s13360-019-00043-w	journal	January 2020
Gravitational field on the Lorentz tangent bundle: generalized paths and field equations Triantafyllopoulos, A.; Kapsabelis, E.; Stavrinos, P. C. The European Physical Journal Plus, Vol. 135, Issue 7 https://doi.org/10.1140/epjp/s13360-020-00570-x	journal	July 2020
Finsler geometry as a model for relativistic gravity Lämmerzahl, Claus; Perlick, Volker International Journal of Geometric Methods in Modern Physics, Vol. 15, Issue supp01 https://doi.org/10.1142/S0219887818501669	journal	November 2018
Improved Bounds on Lorentz Symmetry Violation from High-Energy Astrophysical Sources Altschul, Brett Symmetry, Vol. 13, Issue 4 https://doi.org/10.3390/sym13040688	journal	April 2021
Foundations of Finsler Spacetimes from the Observers’ Viewpoint Bernal, Antonio N.; Javaloyes, Miguel A.; Sánchez, Miguel Universe, Vol. 6, Issue 4 https://doi.org/10.3390/universe6040055	journal	April 2020
On the Analyticity of Static Solutions of a Field Equation in Finsler Gravity Caponio, Erasmo; Masiello, Antonio Universe, Vol. 6, Issue 4 https://doi.org/10.3390/universe6040059	journal	April 2020
On the Non Metrizability of Berwald Finsler Spacetimes Fuster, Andrea; Heefer, Sjors; Pfeifer, Christian Universe, Vol. 6, Issue 5 https://doi.org/10.3390/universe6050064	journal	May 2020
General Relativity Wald, Robert M. https://doi.org/10.7208/chicago/9780226870373.001.0001	book	January 1984

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