The Meaning of Relativity
Science (Impact Factor: 31.2). 05/1923; 57(1483):642-643. DOI:10.1126/science.57.1483.642
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ABSTRACT: The origin of the spin of the planets and stars rest badly known nowadays. We attribute generally this rotation as being a constituent of the spin of the primitive gas from which they arise. We show in this study, that the rotation of celestial bodies would be only dependent on their mass, on their visible radius as well as on the inclination of their axis of rotation in their planetary or galactic system. To arrive at this result, we show that these bodies in rotation allow us to consider the report v/c (with v < < c) as a factor of proportionality in the evaluation of the strengths generated by the effect gravitomagnetic. This result combined with a complete symmetry of the mass and of the rotation of these celestial bodies allows us to arrive at the final dynamic relation, between rotation and gravitational beam rg of the GR. This result will show us finally that the rotation of these celestial body is not a fossil residue of the primitive training of the universe, but indeed a well- founded dynamic balance of these bodies massique. The obtained results we shall allow to calculate the mass of these objects by means of some measures relatively simple to obtain, as the measure of the visible beam, the rotation speed and the measure of the inclination of the axis of rotation.Earth Moon and Planets 01/2012; 108(3-4). · 0.83 Impact Factor
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ABSTRACT: Special relativity considered in [Albert Einstein, Zur Elektrodynamik der bewegte Körper, Ann. Phys. 17 (1905) 891–921], and gravitation, studied in a series of papers, notably in [Albert Einstein, Zum gegenwärtigen Stände des Gravitationsproblemen, Phys. Z. 14 (1913) 1249–1262], are further analyzed regarding the principle of relativity, gravitation, and the notion of mass. The energy relation derived by Einstein from the relativistic Maxwell equations is applied to potential energy W(x) of the gravitational field along the right line for which Einstein’s transformations are valid. This defines the intensity G(x)=dW/dx of the relativistic force of gravity along a right line of observation in the gravitational field. The force is proportional to the observed acceleration according to the formula εG(x)=μξττ=μxttβ3 where μ is the inert mass in the second Newton’s law of motion and ε is the charge (mass) in the relativistic electromagnetic (gravitational) field. In everyday life, we see that all bodies visually fall under gravity (i.e. in a common gravitational field) with the same observed acceleration ξττ as if having equal inert and gravitational masses: μ/ε=1, with respect to the synchronized time τ. However, if the principle of relativity extended by Einstein to the case of the uniformly accelerated rectilinear motion is valid, then this relation should also be true with respect to xtt, that is, (μ/ε)β3=1, in proper time t of a still observer and of the carrying system (falling body), thus, depending on velocity v at which the acceleration ξττ is measured. This means that the inert mass μ and the gravitational mass ε can be considered equal only at v=0, and otherwise are related by the equation ε=μβ3≥μ, where Einstein’s calibration factor β=[1−(v/V)2]−0.5≥1,|v|V, and β≅1 for small |v| compared with the speed of light V=300000km/s at which we see the falling bodies. If v>0, then the observed gravitational mass ε is greater than the inert mass μ. The increase of mass is concurrent with the increase of tensions that at high velocities v→V induce overheating in the particle accelerators and colliders. To comply with the nature of observation, the information transmittal signals are incorporated in the Lorentz invariant of the 4D geometry, leading to the local invariants of relativistic dynamics that include gravitation and the speed of signals used in observation of moving bodies. With the same communication signals, those invariants hold for the synchronized time and coordinates of moving systems irrespective of their relative velocities. A procedure is developed for measurement and computation of the accelerations produced by variable gravitational and/or electromagnetic fields through the measurements of velocities of a moving body, so that the motion of the body and the field of forces acting on it can be fully identified. The results open new avenues for research in the theory of relativity and its applications.Computers & Mathematics with Applications. 01/2011; 61:1517-1535.
Article: Noncommutative Quantum Gravity[show abstract] [hide abstract]
ABSTRACT: We discuss the BRST and anti-BRST symmetries for perturbative quantum gravity in noncommutative spacetime. In this noncommutative perturbative quantum gravity the sum of the classical Lagrangian density with a gauge fixing term and a ghost term is shown to be invariant the noncommutative BRST and the noncommutative anti-BRST transformations. We analyse the gauge fixing term and the ghost term in both linear as well as non-linear gauges. We also discuss the unitarity evolution of the theory and analyse the violation of unitarity of by introduction of a bare mass term in the noncommutative BRST and the noncommutative anti-BRST transformations.Modern Physics Letters A 02/2013; 491(3). · 1.11 Impact Factor
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