The general relativistic effects on the magnetic moment in Earth’s gravity

Ohira, Toru

doi:10.1093/ptep/pty085

Cited by 7 publications

(8 citation statements)

References 25 publications

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“…One such scenario may correspond to determination of magnetic moment of muon, i.e., through muon g − 2 measurements. However the corresponding effect of non-geodesic precession in measurement of muon magnetic moment seems to be quite small [104][105][106]. On the other hand, measurements of electric dipole moment using the frozen spin method do inhibit non-trivial general relativity corrections with non-geodesic spin precession playing a key role [106].…”

Section: Precession For Non-geodesic Observers: the Frenet-serret Formentioning

confidence: 99%

Horndeski theories confront the Gravity Probe B experiment

Mukherjee

Chakraborty

2018

Phys. Rev. D

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In this work we have investigated various properties of a spinning gyroscope in the context of Horndeski theories. In particular, we have focused on two specific situations -(a) when the gyroscope follows a geodesic trajectory and (b) when it is endowed with an acceleration. In both these cases, besides developing the basic formalism, we have also applied the same to understand the motion of a spinning gyroscope in various static and spherically symmetric spacetimes pertaining to Horndeski theories. Starting with the Schwarzschild de-Sitter spacetime as a warm up exercise, we have presented our results for two charged Galileon black holes as well as for a black hole in scalar coupled Einstein-Gauss-Bonnet gravity. In all these cases we have shown that the spinning gyroscope can be used to distinguish black holes from naked singularities. Moreover, using the numerical estimation of the geodetic precession from the Gravity Probe B experiment, we have constrained the gauge/scalar charge of the black holes in these Horndeski theories. Implications are also discussed. * sm13ip029@iiserkol.ac.in

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Section: Precession For Non-geodesic Observers: the Frenet-serret Formentioning

confidence: 99%

Horndeski theories confront the Gravity Probe B experiment

Mukherjee

Chakraborty

2018

Phys. Rev. D

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“…Prior older math cannot compute. By using this model, the observed anomaly in the muon 2g [11] can be reasoned. For particles like electrons and muons, the Dirac Equation introduced relativistic motion to the Schrodinger-Heisenberg model for relativistic quantum mechanics with the result of intrinsic spin quantum number.…”

Section: Earth's Gravitational Field Coupling To Nano To Macro Objectsmentioning

confidence: 99%

On the Terrestrial Gravitational Bending of Quantum Fields during Optics, Enzymatics and Catalyses of Biomolecular and Nanoscale Chemical Reactions

Little¹

2020

Preprint

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<div>The death of cancer cells under zero gravity or simulated zero gravity has an unknown cause. A prior theory of gravity by fractional, reversible fissing of matter and fusing of space to target is presented for explaining this mystery of gravitational killing of cancer cells. With this new theory a new math of divergent differentiations and divergent integrations are outlined to explain mysteries. By the mechanism given the variation in source gravity as computed by the new math can thereby explain effects on biology as the biology and chemistry have divergent differentiations and divergent integrations, which couple source of gravities and couple changing gravities to surrounding spaces and targets in surrounding spaces. Greater effects of</div><div>gravities in nano-scales than molecular scales are reasoned as nano-sizes have mass effects and greater collectivity relative to molecular scales. The mechanism also postulates superluminosity of rare with slowing to luminous with denseness (space reversal) for explaining inertia, denseness and back and forth time reversal. The loss of inertia due to space reversal is reasoned! Mass to energy and vice versa dynamics are involved relativistically. By such new mechanics there are differences in denseness as the superlumes fiss to rare so surrounding rare can couple and the superluminous rare concentrates to slow so as to couple to dense. There are limits of such superluminosity as by the vast distances and the vast, composite, dense spaces of matter and the slowness (inertia). These new mechanics of composite matter/space manifest group dispersion (by new divergent calculus) as provided by hidden mechanics as by self-interacting self-deforming conformations to explain observable phase dispersed (older calculus). The observables are manifested by phase dispersions of matter and space as by new divergent calculus via constructive self interactions. The new math is contrasted with the Newtonian integrals and derivatives, which are more finite in actions and consequences whereas the divergent integrals and divergent differentiations are more ∞ in actions and consequences. If dynamic ∞ and count ∞, then the counting and mechanics can be as demonstrated here by many ∞(s) or counter ∞(s).</div>

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“…In particular, we also take into account gravitational effects on the electromagnetic field of the Penning trap, which in turn affects the motion of the electron. While gravitational effects on the bound electron g s -factor [11] and the cyclotron motion of the electron [12] have been considered, to the best of our knowledge, an analysis of the gravitational influence on Penning trap experiments have not been reported before.…”

Section: Introductionmentioning

confidence: 99%

Gravitational effects on geonium and free electron gs -factor measurements in a Penning trap

2019

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We present a theoretical analysis of an electron confined by a Penning trap, also known as geonium, that is affected by gravity. In particular, we investigate the gravitational influence on the electron dynamics and the electromagnetic field of the trap. We consider the special case of a homogeneous gravitational field, which is represented by Rindler spacetime. In this spacetime the Hamiltonian of an electron with anomalous magnetic moment is constructed. Based on this Hamiltonian and the exact solution to Maxwell equations for the field of a Penning trap in Rindler spacetime, we derive the transition energies of geonium up to the relativistic corrections of 1/c 2 . These transition energies are used to obtain an extension of the well known gs-factor formula introduced by L. S. Brown and G. Gabrielse [Rev. Mod. Phys. 58, 233 1986].

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The general relativistic effects on the magnetic moment in Earth’s gravity

Cited by 7 publications

References 25 publications

Horndeski theories confront the Gravity Probe B experiment

Horndeski theories confront the Gravity Probe B experiment

On the Terrestrial Gravitational Bending of Quantum Fields during Optics, Enzymatics and Catalyses of Biomolecular and Nanoscale Chemical Reactions

Gravitational effects on geonium and free electron gs -factor measurements in a Penning trap

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