New Experimental Limit on Velocity-Dependent Interactions of Clocks and Distant Matter

Turner, K. C.; Hill, H. A.

doi:10.1103/physrev.134.b252

Cited by 54 publications

(22 citation statements)

References 5 publications

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“…All experimental tests of the constancy of the one-way light speed can be also interpreted as the tests of the local Lorentz invariance. Nevertheless, since local Lorentz non-invariance implies a departure from the Einstein time dilation and singles out a preferred inertial frame of reference, the experiments done by McGowan et al [9], Bailey et al [10], Kaivola et al [11], Prestage et al [12], and Krisher et al [8] Experiments clearly support the existence of the constancy of the one-way light speed, the Einstein velocity addition law and the local Lorentz invariance [5][6][7][8][9][10][11][12][13]. The experimental indication is: any modification of the special relativity theory must keep the constancy of the one-way speed of light and the local Lorentz invariance.…”

Section: Experimental Indicationmentioning

confidence: 89%

Modification of special relativity and local structures of gravity-free space and time

Liu

2001

Chaos, Solitons & Fractals

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Besides two fundamental postulates, (i) the principle of relativity and (ii) the constancy of the oneway speed of light in all inertial frames of reference, the special theory of relativity uses the assumption about the Euclidean structure of gravity-free space and the homogeneity of gravity-free time in the usual inertial coordinate system. Introducing the so-called primed inertial coordinate system, in addition to the usual inertial coordinate system, for each inertial frame of reference, we assume the flat structures of gravity-free space and time in the primed inertial coordinate system and, hence, their generalized Finslerian structures in the usual inertial coordinate system. We further modify the special theory of relativity by combining the alternative assumption with the two postulates (i) and (ii). The modified special relativity theory involves two versions of the light speed, infinite speed c' in the primed inertial coordinate system and finite speed c in the usual inertial coordinate system. It involves the c'-type Galilean transformation between any two primed inertial coordinate systems and the localized Lorentz transformation between any two usual inertial coordinate systems. The physical principle in the modified special relativity theory is: the c'-type Galilean invariance in the primed inertial coordinate system plus the transformation from the primed to the usual inertial coordinate systems. It combines with the quantum mechanics theory to found a convergent and invariant quantum field theory. We produce corrections to the Maxwellian velocity and velocity rate distributions for free particles. The detection of velocity and velocity rate distributions for free particles can serve as the tests to investigate the local structures of gravity-free space and time.

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Section: Experimental Indicationmentioning

confidence: 89%

Modification of special relativity and local structures of gravity-free space and time

Liu

2001

Chaos, Solitons & Fractals

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“…In most of the experiments the change in orientation of the experimental setup was not accounted for, thus only the average Doppler shift was measured and obviously no directional anisotropy could be detected. There were also a few such experiments [14][15][16], that investigated directional dependence of the effect. It has been shown in the previous section that the null result of experiments investigating the Doppler effect does not exclude the anisotropy of the speed of light, since the formulas describing the energy change calculated with the absolute and Einstein synchronization are identical, even though the one-way velocities of light are not.…”

Section: Measurement Of the Transverse Doppler Effectmentioning

confidence: 99%

The Doppler Effect and the Anisotropy of the Speed of Light

Drągowski

Włodarczyk

2020

Found Phys

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Fundamental incompatibility arises at the interface of quantum mechanics and the special theory of relativity with Einstein synchronization, in which simultaneity is not absolute. It has, however, been shown that a relativistic theory preserving absolute simultaneity allows to formulate Lorentz-covariant quantum theory, at a price of introducing a preferred frame of reference manifesting itself in a directional anisotropy of the speed of light. We show that a supposed method of distinguishing between these two theories based on the Doppler effect is insensitive to this anisotropy. Both theories are indistinguishable if only kinematic effects for light or subluminal signals are considered.

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“…If the gravity at the latter is bigger (smaller) than that at the former, the rate of time of the latter is smaller (bigger) and the frequency blue (red) shifts. These phenomena have already been proven by a series of experiments [12]- [15], and have been taken into account for satellite tracking [16], Global Positioning System (GPS) [17] and X-ray pulsar-based navigation by weak field approximation [18]- [20].…”

Section: Variation Of a Signal In Schwarzschild Spacetimementioning

confidence: 99%

Variation of a signal in Schwarzschild spacetime

Liu

Xia

Tao

2019

Sci. China Inf. Sci.

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In this paper, the variation of a signal in Schwarzschild spacetime is studied and a general equation for frequency shift parameter (FSP) is presented. It shows that FSP depends on the gravitationally-modified Doppler effects and the gravitational effects of observers. In addition, rates of time of a transmitter and a receiver may be different. When FSP is a function of the time of a receiver, FSP contributed by gravitational effect (GFSP) or gravitationally-modified Doppler effect (GMDFSP) may lead a bandlimited signal to a nonbandlimited signal. Based on the equation, FSP as a function of the time of a receiver is calculated for three scenarios: a) a spaceship moves away from a star with a constant velocity communicating with a transmitter at a fixed position; b) a spaceship moves around a star with different conic trajectories communicating with a transmitter at a fixed position; c) a signal is transmitted at a fixed position in a star system to a receiver moving with an elliptical trajectory in another star system. The studied stars are sun-like star, white dwarf and neutron star, and some numerical examples are presented to illustrate the theory.

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New Experimental Limit on Velocity-Dependent Interactions of Clocks and Distant Matter

Cited by 54 publications

References 5 publications

Modification of special relativity and local structures of gravity-free space and time

Modification of special relativity and local structures of gravity-free space and time

The Doppler Effect and the Anisotropy of the Speed of Light

Variation of a signal in Schwarzschild spacetime

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