Interaction of neutrons with accelerating matter: test of the equivalence principle

Kowalski, Frank V.

doi:10.1016/0375-9601(93)90404-n

Cited by 29 publications

(8 citation statements)

References 9 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In 1993 the work of F.V. Kowalski [4] appeared, where he proposed to verify the equivalence principle in a new type of neutron experiment. His theoretical approach was based on the concept of the group and phase velocities of the neutron.…”

mentioning

confidence: 99%

“…However, the existence of the accelerating matter effect (AME) can also be assumed without relying on specific optical calculations but based only on the equivalence principle (EP). To demonstrate this, the authors of [7] turned to Kowalski's Gedanken experiment [4], but unlike him, they proceeded from the idea of an undoubted validity of the EP. Hereafter, their argumentation will be presented, as it is crucial for what comes next.…”

mentioning

confidence: 99%

See 1 more Smart Citation

Interaction of a wave with an accelerating object and the equivalence principle

Frank

2020

Phys.-Usp.

View full text Add to dashboard Cite

A new look at the so-called effect of an accelerating matter is presented. It was previously stated that the effect is optical in nature and consists in changing the frequency of the wave passing through a refractive sample moving with acceleration. However, from a simple consideration based on the principle of equivalence, it follows that the idea of the connection of the effect only with the refraction phenomenon is unreasonably narrow, and a change in the wave frequency should inevitably occur during scattering by any object moving with acceleration. Such an object can be either an elementary scatterer or any device transmitting a narrowband signal.For the first time the phenomenon that later became known as the accelerating matter effect was briefly mentioned in the PhD thesis by V.I. Mikerov [1]. Analyzing the possibility of filling a trap for ultracold neutrons (UCN) without its depressurization, he proposed using a thin membrane moving in harmonic law with and against the UCN motion. At the same time, he found that the energy of UCNs, after their passing through an oscillating foil, should change. Being unpublished, this result has remained unknown for a long time.In 1982 K. Tanaka [2] found a solution to the problem of an electromagnetic wave passing through a linearly accelerating dielectric plate and predicted that the frequency of a wave transmitted through such a sample differs from the frequency of an incident wave. With a single passage of a wave through the plate, the frequency change is determined as follows:where ω is the incident wave frequency, n is the refraction index, d is the plate thickness, a is the acceleration, and c is the speed of light. The possibility of observing this optical effect was discussed in [3], but, as far as we know, due to the smallness of the effect, the experiment was never performed. In 1993 the work of F.V. Kowalski [4] appeared, where he proposed to verify the equivalence principle in a new type of neutron experiment. His theoretical approach was based on the concept of the group and phase velocities of the neutron. He also calculated the time of wave propagation between the corresponding points in the laboratory coordinate system and in a system moving with acceleration. In both cases, the wave passed through a refracting sample. As an intermediate result, the author concluded that the neutron energy changes as it passes through a sample moving with a not too much acceleration. The energy change was deter- * frank@nf.jinr.ru mined as:where m is the neutron mass. Later, the same issue was considered by V.G. Nosov and A.I. Frank [5]. The analysis aimed at sequential calculation of the velocity of neutrons at their entering the sample, propagating in the medium, and escaping through another surface, was in fact based on the classical approach. To estimate the magnitude of the effect, the authors obtained a formula that coincided with the result by F.V. Kowalski (2).It should be noted that in [5] the formula (2) was obtained under two important assumptions. Firstly, i...

show abstract

mentioning

confidence: 99%

mentioning

confidence: 99%

Interaction of a wave with an accelerating object and the equivalence principle

Frank

2020

Phys.-Usp.

View full text Add to dashboard Cite

show abstract

“…a delay similar to that of the mirror pair) have been performed [23][24][25] while calculations of the interaction of massive particles with accelerating mirrors have been conducted [21,26]. Numerical solutions, as described in the appendix, indicate that the phase of the transmitted wave oscillates sinusoidally as it does in retro-reflecting from a single oscillating mirror.…”

Section: A Mirrors Moving At Constant Speedmentioning

confidence: 99%

Planck scale displacement of a connected mirror pair: an energy measurement in a gravitational field

Kowalski

2021

Preprint

View full text Add to dashboard Cite

show abstract

“…A decade after publication of [2] Kowalski discussed the possibility of testing the equivalence principle in a new type of neutron experiment and came to the conclusion that the energy of the neutron would change following its passage through an accelerating refracting sample [4]. The energy change was determined as…”

Section: Introductionmentioning

confidence: 99%

Interaction of a wave packet with potential structures moving with acceleration

Zakharov,

Kulin,

Frank

2020

Preprint

View full text Add to dashboard Cite

The paper is devoted to a numerical study of the problem of interaction of the wave packet with potential structures moving with constant acceleration. In all the cases considered the result of the interaction is a change in the velocity spectrum. In the first approximation the magnitude of the shift in the spectrum is determined by the product of acceleration by group delay time. Also, as the direction of acceleration reverses the effect changes its sign. The results are completely consistent with the idea of universality of the Effect of Acceleration which consists in a change in the frequency of the wave at scattering on an object moving with acceleration.

show abstract

Interaction of neutrons with accelerating matter: test of the equivalence principle

Cited by 29 publications

References 9 publications

Interaction of a wave with an accelerating object and the equivalence principle

Interaction of a wave with an accelerating object and the equivalence principle

Planck scale displacement of a connected mirror pair: an energy measurement in a gravitational field

Interaction of a wave packet with potential structures moving with acceleration

Contact Info

Product

Resources

About