Precision gravity tests and the Einstein Equivalence Principle

Tino, G. M.; Cacciapuoti, L.; Capozziello, Salvatore; Lambiase, Gaetano; Sorrentino, F.

doi:10.1016/j.ppnp.2020.103772

Cited by 92 publications

(81 citation statements)

References 448 publications

(672 reference statements)

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“…The equivalence stated in this way is based on another equivalence between passive-gravitational mass m G and inertial mass m I of a body (also known as the Galilean Equivalence Principle) which has been confirmed by a number of experiments (see [3,4] or [5] for a comprehensive review), most recently by the Eöt-Wash experiment [6] and the MICROSCOPE experiment [7,8]. If m G and m I were not equal, one would be able to perform local experiments (such as dropping test bodies) in the accelerating frame K ′ which would produce differences between the outcomes of the same experiments performed in the reference K.…”

Section: Introductionmentioning

confidence: 75%

On the Equivalence Principle and Relativistic Quantum Mechanics

Trzetrzelewski

2020

Found Phys

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Einstein’s Equivalence Principle implies that the Lorentz force equation can be derived from a geodesic equation by imposing a certain (necessary) condition on the electromagnetic potential (Trzetrzelewski, EPL 120:4, 2018). We analyze the quantization of that constraint and find the corresponding differential equations for the phase of the wave function. We investigate these equations in the case of Coulomb potential and show that physically acceptable solutions do not exist. This result signals an inconsistency between Einstein’s Equivalence Principle and Relativistic Quantum Mechanics at an atomic level.

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Section: Introductionmentioning

confidence: 75%

On the Equivalence Principle and Relativistic Quantum Mechanics

Trzetrzelewski

2020

Found Phys

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“…In 1986 Ephraim Fischbach et al [37], [38] stimulated an attention to a possible existence of the so-called fifth force. Though, it was soon found that this model is in error [39], [40] this concept started a new renaissance of gravity experiments at universities worldwide. Several teams collected during last three decades very precise experimental values of the Newtonian gravitational constant.…”

Section: The Comparison Of Predicted G Values For Composed Source Masses With the Precise Experimental Determinations Of Gmentioning

confidence: 99%

The Newtonian Gravitational Constant G Interpreted as the Gravitational Inertia of Vacuum - G0. How to Arrange Twelve Precise Experimental Determinations of GZ in their Spread 500 ppm?

Stávek¹

2021

EJPHYSICS

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We have newly interpreted the Newtonian gravitational constant G as the gravitational inertia of vacuum G0. The source mass inserted into vacuum decreases this value G0 to GZ on the dependence of the atomic number Z of atoms in the source mass. This is the mechanism for the attraction of test masses through vacuum – the test mass follows the decrease of the gravitational inertia of vacuum towards the source mass. We have extracted the relationship GZ = G0 (1 – k Z) where k is the experimental constant from ten actual precise experimental determinations of GZ. This model was tested on two precise experimental values of GZ determined for GEARTH, and GBRASS. This model enables to predict values GZ for atoms, molecules and compositions of the studied source masses and to realize experimental verification with the existing experimental technology. The experimental GZ values are thus arranged into a system and the spread in these data is explained as the influence of atoms of the source masses on their surrounding via the decrease of the gravitational inertia of vacuum. We might achieve the accuracy of experimental values GZ with six significant figures for all configurations of source and test masses.

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“…and (|x i − x j |) given by Eq. (15). The expression ( 22) can be evaluated as temporal average on the interval τ .…”

Section: The Virial Theorem In Fourth Order Gravitymentioning

confidence: 99%

“…In the weak-field approximation, in general, any models of extended gravity yields corrections to the gravitational potential [11,12] which, (using the Solar System as a laboratory) at the Newtonian and post-Newtonian level, could constitute the test-bed for these theories [13][14][15]. a e-mail: capolupo@sa.infn.it b e-mail: lambiase@sa.infn.it c e-mail: arturo.stabile@gmail.com d e-mail: astabile@unisa.it (corresponding author) From a conceptual viewpoint, there is no reason a priori to restrict the gravitational Lagrangian to a linear function of the Ricci scalar minimally coupled to matter.…”

Section: Introductionmentioning

confidence: 99%

Virial theorem in scalar tensor fourth order gravity

2021

Self Cite

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In this paper, we study, in the Newtonian limit, the virial theorem in the context of a scalar tensor fourth order gravity. In particular, we show, that for a isolated galaxy in viral equilibrium, a specific class of scalar tensor fourth order gravity, i.e. $$f(R,\phi )+\omega (\phi )\,\phi _{;\alpha }\,\phi ^{;\alpha }$$ f ( R , ϕ ) + ω ( ϕ ) ϕ ; α ϕ ; α in not suitable to explain the large fraction of dark matter necessary to have the flatness of the galaxies rotation curves experimentally observed.

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Precision gravity tests and the Einstein Equivalence Principle

Cited by 92 publications

References 448 publications

On the Equivalence Principle and Relativistic Quantum Mechanics

On the Equivalence Principle and Relativistic Quantum Mechanics

The Newtonian Gravitational Constant G Interpreted as the Gravitational Inertia of Vacuum - G0. How to Arrange Twelve Precise Experimental Determinations of GZ in their Spread 500 ppm?

Virial theorem in scalar tensor fourth order gravity

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