Using Comparisons of Clock Frequencies and Sidereal Variation to Probe Lorentz Violation

Lane, Charles D.

doi:10.3390/sym9100245

Cited by 4 publications

(2 citation statements)

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“…Proton and neutron contributions are more tightly constrained by a number of tests. Magnetometer experiments [15,16], a type of clock comparison [17][18][19][20], are currently the most sensitive.…”

Section: The Standard-model Extensionmentioning

confidence: 99%

Spacetime Symmetries and Classical Mechanics

et al. 2018

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Physics students are rarely exposed to the style of thinking that goes into theoretical developments in physics until late in their education. In this work, we present an alternative to the traditional statement of Newton’s second law that makes theory questions accessible to students early in their undergraduate studies. Rather than a contrived example, the model considered here arises from a popular framework for testing Lorentz symmetry used extensively in contemporary experiments. Hence, this work also provides an accessible introduction to some key ideas in ongoing tests of fundamental symmetries in physics.

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Section: The Standard-model Extensionmentioning

confidence: 99%

Spacetime Symmetries and Classical Mechanics

et al. 2018

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“…It contains tensor-valued coefficients that parameterize Lorentz-violating interactions; these coefficients may be low-energy expectation values of fields that appear in Planck-scale physics. The SME has been used to analyze the sensitivity of precise experiments to potential Lorentz violation including probes of atomic clocks [8][9][10][11] and binary stars [12,13].…”

Section: Introductionmentioning

confidence: 99%

Lorentz Violation at the Level of Undergraduate Classical Mechanics

Clyburn

Lane

2020

Symmetry

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In this paper, we use the classical limit of the Standard-Model Extension to explore some generic features of Lorentz violation. This classical limit is formulated at the level of undergraduate physics. We first discuss the general equations of motion and then concentrate on three specific systems. First, we consider the theoretical aspects of pendulum motion in the presence of Lorentz violation, followed by some sample experimental results. The experimental bounds we achieve, in the range of 10−3, are not competitive with the current bounds from atomic clocks; rather, our experiment illustrates some common ideas and methods that appear in Lorentz-violation studies. We then discuss how Newton’s 2nd Law must be treated with caution in our model. Finally, we introduce a computational simulation of a binary star system that is perturbed by Lorentz-violating effects. This simulation shows some interesting behavior that could be the subject of future analytical studies.

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Lorentz and CPT tests with clock-comparison experiments

Kostelecký

Vargas

2018

Phys. Rev. D

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Clock-comparison experiments are among the sharpest existing tests of Lorentz symmetry in matter. We characterize signals in these experiments arising from modifications to electron or nucleon propagators and involving Lorentz-and CPT-violating operators of arbitrary mass dimension. The spectral frequencies of the atoms or ions used as clocks exhibit perturbative shifts that can depend on the constituent-particle properties and can display sidereal and annual variations in time. Adopting an independent-particle model for the electronic structure and the Schmidt model for the nucleus, we determine observables for a variety of clock-comparison experiments involving fountain clocks, comagnetometers, ion traps, lattice clocks, entangled states, and antimatter. The treatment demonstrates the complementarity of sensitivities to Lorentz and CPT violation among these different experimental techniques. It also permits the interpretation of some prior results in terms of bounds on nonminimal coefficients for Lorentz violation, including first constraints on nonminimal coefficients in the neutron sector. Estimates of attainable sensitivities in future analyses are provided. Two technical appendices collect relationships between spherical and cartesian coefficients for Lorentz violation and provide explicit transformations converting cartesian coefficients in a laboratory frame to the canonical Sun-centered frame.

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Using Comparisons of Clock Frequencies and Sidereal Variation to Probe Lorentz Violation

Cited by 4 publications

References 45 publications

Spacetime Symmetries and Classical Mechanics

Spacetime Symmetries and Classical Mechanics

Lorentz Violation at the Level of Undergraduate Classical Mechanics

Lorentz and CPT tests with clock-comparison experiments

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