2015
DOI: 10.1103/physrevd.92.056002
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Lorentz andCPTtests with hydrogen, antihydrogen, and related systems

Abstract: The potential of precision spectroscopy as a tool in systematic searches for effects of Lorentz and CPT violation is investigated. Systems considered include hydrogen, antihydrogen, deuterium, positronium, and hydrogen molecules and molecular ions. Perturbative shifts in energy levels and key transition frequencies are derived, allowing for Lorentz-violating operators of arbitrary mass dimensions. Observable effects are deduced from various direct measurements, sidereal and annual variations, comparisons among… Show more

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Cited by 114 publications
(193 citation statements)
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References 156 publications
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“…The greatest triumphs of modern physics (quantum theory and general relativity) are fundamentally incompatible; a quantum theory of gravity is desperately needed, and would presumably naturally answer all antigravity questions, but it has been impossible to create one. Whether such a theory would be generated from some sort of extension to the Standard Model [741][742][743][744] or from something else entirely (string theory?) is not known, which is why there is so much room for speculation.…”
Section: Antimatter Gravity Experimentsmentioning
confidence: 99%
“…The greatest triumphs of modern physics (quantum theory and general relativity) are fundamentally incompatible; a quantum theory of gravity is desperately needed, and would presumably naturally answer all antigravity questions, but it has been impossible to create one. Whether such a theory would be generated from some sort of extension to the Standard Model [741][742][743][744] or from something else entirely (string theory?) is not known, which is why there is so much room for speculation.…”
Section: Antimatter Gravity Experimentsmentioning
confidence: 99%
“…This statement is valid only for a given inertial frame, which is not the case of a laboratory on Earth. To put these results in an experimental context, one would calculate this four-pole tensor in the laboratory frame, taking into account the fact that the background vector rotates with respect to the laboratory frame as a function of time [8]. It would produce a rotation of the induced four-pole calculated above.…”
Section: Induced Electric Dipole and Four-pole And Magnetic Dipolementioning
confidence: 99%
“…[2]. To put these results in an experimental context, one would take into account the rotation of the background vector with respect to the laboratory frame [5,8]. The effects of this rotation shall not modify the order of magnitude of the results, which are completely out of reach for any spectroscopic experiment nowadays.…”
Section: Final Remarksmentioning
confidence: 99%
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“…This bound state is also considered for observation of the gravitational quantum states [6]. All of these systems, among others, are used in the Standard Model Extension framework for Lorentz and CPT tests [7][8][9].…”
Section: Introductionmentioning
confidence: 99%