scholarly journals Relativistic Effects in Reference Frames

1980 ◽  
Vol 56 ◽  
pp. 43-58 ◽  
Author(s):  
H. Moritz
Keyword(s):  
Gravitational Constant ◽  
Reference Frames ◽  
Relativistic Effects ◽  
Point Of View ◽  
Field Theories ◽  
Reference Systems ◽  
Theory Of Relativity ◽  
General Theory Of Relativity ◽  
The Impact ◽  
Inertial Systems

AbstractThe impact of relativistic theories of space, time and gravitation on the problem of reference systems is reviewed.First, the concept of inertial systems is discussed from the point of view of the special and the general theory of relativity. Then, relativistic corrections of Doppler, laser and VLBI, and similar effects are reviewed; they are usually on the order of 10-8. Finally, the problem of a possible variation of the gravitational constant G (on the order of 10-11/year) is outlined; such a variation does not occur in special and general relativity, but is implied by certain generalized field theories which are less commonly accepted.

scholarly journals Reference frames and gravitational effects in the general theory of relativity

1986 ◽  
Vol 114 ◽  
pp. 177-186 ◽  
Author(s):  
O. S. Ivanitskaya ◽  
N. V. Mitskiévič ◽  
Yu. S. Vladimirov
Keyword(s):  
General Relativity ◽  
General Theory ◽  
Reference Frames ◽  
Point Of View ◽  
Theory Of Relativity ◽  
General Theory Of Relativity ◽  
Gravitational Effects ◽  
Constructive Description ◽  
Space Objects ◽  
Temporal And Spatial

In connection with the precision growth in modern astrometry, General Relativity (GR) has become a necessary basis of celestial mechanics and of computations of ephemerides of planets and other space objects, from the point of view of both the laws of motion and the expression of measurable (observable) quantities in terms of Reference Frames (RFs) notions. In this report we summarize the RF theory in GR (in the monad as well as in the tetrad representation) and give examples of specific gravitational effects. In any theory of RFs an important element consists on separation of the RF and system-of-coordinates (SC) notions, with a constructive description of projectors onto the physical temporal and spatial directions, of the observables as invariants (scalars) under SC transformations, as well as of the transformation laws of these observables under transitions between different RFs. For a more detailed though still incomplete synopsis of the monad and tetrad methods of RF representation in GR, see our preprint [1].

Gravity as the curvature of the wave function of the universe.

2019 ◽  
Author(s):  
Vitaly Kuyukov
Keyword(s):  
Wave Function ◽  
Wave Functions ◽  
Main Task ◽  
Reference Systems ◽  
Theory Of Relativity ◽  
General Theory Of Relativity ◽  
Principle Of Equivalence ◽  
Relative Wave Function ◽  
New Equation ◽  
The Universe

Modern general theory of relativity considers gravity as the curvature of space-time. The theory is based on the principle of equivalence. All bodies fall with the same acceleration in the gravitational field, which is equivalent to locally accelerated reference systems. In this article, we will affirm the concept of gravity as the curvature of the relative wave function of the Universe. That is, a change in the phase of the universal wave function of the Universe near a massive body leads to a change in all other wave functions of bodies. The main task is to find the form of the relative wave function of the Universe, as well as a new equation of gravity for connecting the curvature of the wave function and the density of matter.

scholarly journals Probing Gravitational Waves from Pulsars in Brans–Dicke Theory

Universe ◽  
2021 ◽  
Vol 7 (7) ◽  
pp. 235
Author(s):  
Paritosh Verma
Keyword(s):  
Gravitational Waves ◽  
Gravitational Constant ◽  
Theoretical Background ◽  
Theory Of Relativity ◽  
General Theory Of Relativity ◽  
Tensor Polarization ◽  
Likelihood Principle ◽  
Polarization States ◽  
Varying Gravitational Constant ◽  
Laser Interferometric

This paper comprises the theoretical background for the data analysis of gravitational waves (GWs) from spinning neutron stars in Brans–Dicke (BD) theory. Einstein’s general theory of relativity (GR) predicts only two tensor polarization states, but a generic metric theory of gravity can also possess scalar and vector polarization states. The BD theory attempts to modify the GR by varying gravitational constant G, and it has three polarization states. The first two states are the same as in GR, and the third one is scalar polarization. We derive the response of a laser interferometric detector to the GW signal from a spinning neutron star in BD theory. We obtain a statistic based on the maximum likelihood principle to identify the signal in BD theory in the detector’s noise. This statistic generalizes the well known F-statistic used in the case of GR. We perform Monte Carlo simulations in Gaussian noise to test the detectability of the signal and the accuracy of estimation of its parameters.

scholarly journals Inconsistency between the general theory of relativity and the experimental results of Faraday's unipolar inductor

2021 ◽  
Author(s):  
Konstantinos Patrinos
Keyword(s):  
General Theory ◽  
Electromotive Force ◽  
Special Theory ◽  
Point Of View ◽  
Experimental Results ◽  
Theory Of Relativity ◽  
General Theory Of Relativity ◽  
Special Theory Of Relativity ◽  
Rotating System ◽  
Quantitative Estimates

The non-inertiality of the rotating system of Faraday's unipolar generator forces us to address this problem using the principles of the general theory of relativity. The purpose of this study is to compare the theoretical quantitative estimates of induced electromotive force with the experimental results obtained from the corresponding measurements. The theoretical elaboration of this issue proves that the differences between the results of the general theory in relation to those of the special theory of relativity are some negligible terms, which are due to the non-inertiality of the rotating reference system. This result enables us to consider the theoretical estimates based on special and general relativity as equivalent, with quite satisfactory accuracy. Therefore, a very serious issue of inconsistency between the theory of relativity and the measurements of induced electromotive force emerges, since as already shown in the existing literature, this inconsistency, from the point of view of the special theory of relativity, is already proven.

scholarly journals Relativistic Option Pricing

2021 ◽  
Vol 9 (2) ◽  
pp. 32
Author(s):  
Vitor H. Carvalho ◽  
Raquel M. Gaspar
Keyword(s):  
Option Pricing ◽  
High Speed ◽  
Reference Frames ◽  
Proper Time ◽  
Relativistic Effects ◽  
Theory Of Relativity ◽  
Market Participants ◽  
Black Scholes Model ◽  
Black Scholes ◽  
Spatial Arbitrage

The change of information near light speed, advances in high-speed trading, spatial arbitrage strategies and foreseen space exploration, suggest the need to consider the effects of the theory of relativity in finance models. Time and space, under certain circumstances, are not dissociated and can no longer be interpreted as Euclidean. This paper provides an overview of the research made in this field while formally defining the key notions of spacetime, proper time and an understanding of how time dilation impacts financial models. We illustrate how special relativity modifies option pricing and hedging, under the Black–Scholes model, when market participants are in two different reference frames. In particular, we look into maturity and volatility relativistic effects.

APORIE DI UNA NUOVA CONCEZIONE DELL'ETERE NEL MANOSCRITTO EINSTEINIANO DEL 1920

Nuncius ◽  
1999 ◽  
Vol 14 (2) ◽  
pp. 629-649
Author(s):  
GIORGIO JULES MASTROBISI
Keyword(s):  
Special Theory ◽  
Gravitational Theory ◽  
Point Of View ◽  
Theory Of Relativity ◽  
General Theory Of Relativity ◽  
Special Theory Of Relativity ◽  
Principle Of Relativity ◽  
Classical Principle ◽  
Phenomenological Point

Abstracttitle SUMMARY /title The 1920 manuscript by Einstein entitled: Vorlesungen ber Relativittstheorie points out paradigmatically all the preparations of the Special Theory of Relativity, the importance and the role of this theory in the General Theory of Relativity, the passage from a "Special Theory of Relativity" to a "general" one, and the doubts and certainties of its inventor, all that from a point of view of one of the most important issues of the history modem science: the problem of Ether definition. Just the Ether Theory, filtered through H. A. Lorentz's Theory, becomes in Einstein an "Inertial case" of the Classical Principle of Relativity and then, losing all its mechanical qualities, becomes Gravitational Theory in H. Weyl's phenomenological point of view.

scholarly journals Study of gravitational constant and mercury's precession from perspective of physical aesthetics and ideal fluid

2020 ◽  
Author(s):  
Yun-Gang Li ◽  
Cheng-Shu Li
Keyword(s):  
Ideal Fluid ◽  
Gravitational Constant ◽  
Theory Of Relativity ◽  
General Theory Of Relativity ◽  
Speed Of Light ◽  
Universal Gravitation ◽  
Research Teams ◽  
Space Agency ◽  
G Value ◽  
New Formula

Newton's law of universal gravitation does not explain the abnormal precession of Mercury, and the values of gravitational constant G measured by different research teams does not coincide. This paper had study of the two problems from perspective of physical aesthetics and ideal fluid and derived a new formula for calculating the exact G value by using the speed of light in vacuum, which including error correction formulas and verified by experimental data of other scientists. After corrected，the G values measured by some famous surveyors approximately coincides with a specific value. The formula also verified by the precession of the perihelion of mercury , it contributes an additional 35.94"/cy to the theoretical calculation value of the precession of Mercury, then, the abnormal precession value of Mercury calculated by Le Verrier reduce to about 2"/cy, this give another explanation for the abnormal precession of Mercury which is completely different from Einsteins general theory of relativity. The preliminary Conclusions is that G equals 1/(16πc). For further verify the formulas, this paper also designed an experimental plan for the space agency to disprove Einstein's GTR.

scholarly journals Inconsistency between the general theory of relativity and the experimental results of Faraday's unipolar inductor

2021 ◽  
Author(s):  
Konstantinos Patrinos
Keyword(s):  
General Theory ◽  
Electromotive Force ◽  
Special Theory ◽  
Point Of View ◽  
Experimental Results ◽  
Theory Of Relativity ◽  
General Theory Of Relativity ◽  
Special Theory Of Relativity ◽  
Rotating System ◽  
Quantitative Estimates

The non-inertiality of the rotating system of Faraday's unipolar generator forces us to address this problem using the principles of the general theory of relativity. The purpose of this study is to compare the theoretical quantitative estimates of induced electromotive force with the experimental results obtained from the corresponding measurements. The theoretical elaboration of this issue proves that the differences between the results of the general theory in relation to those of the special theory of relativity are some negligible terms, which are due to the non-inertiality of the rotating reference system. This result enables us to consider the theoretical estimates based on special and general relativity as equivalent, with quite satisfactory accuracy. Therefore, a very serious issue of inconsistency between the theory of relativity and the measurements of induced electromotive force emerges, since as already shown in the existing literature, this inconsistency, from the point of view of the special theory of relativity, is already proven.

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