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Celestial Coordinate System (X) Classical Mechanics (X) Smarandache Collection (X)

       
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Modelling of Rationality...and Beyond the Physics

By: Gh. C. Dinulescu

...oncepts. The geocentric and then the heliocentric model for the planetary system, the atomic model or molecular models for substances, various mathe... ...g through a logical construction* based on a non-contradictory assertional system*, as well as by conventions of symbolic representation of the const... ... notions. As regards the MESER concept, we assign the following axiomatic system to it: 1. For the start, we consider the plane as being the symboli... ...at was capable to ultimately modify the trajectory of the above mentioned celestial body. (Even though the astronomers tacitly acknowledged their ″e... ...dicate any errors in the initial calculations, or the presence of another celestial body that could have caused the modification of the comet trajec... ...d of people determine the fall of a building or alter the trajectory of a celestial body. In the anticipable future, attention may be granted and me... ...view. By ″dimension″ it is understood a certain value of one of the space coordinates, and as each material entity has at least one of the coordinat...

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Progress in Physics : The Journal on Advanced Studies in Theoretical and Experimental Physics, Including Related Themes from Mathematics

By: Florentin Smarandache

...Riemannian space with the signature (+−−−), where time is real and spatial coordinates are imag- inary, because the projection of a four-dimensional i... ...lly close test- particles will deviate in a feld of waves of the metric. A system of two real particles connected by a spring (a quadru- pole mass-det... ...on, contrary of the viscous waters of the oceans. A satellite is a perfect system, which reacts instantly to the fow. If the speed of gravitation is l... ...04-117, 236 pages. 7. Zelmanov A. L. Chronometric invariants and co-moving coordinates in the general relativity theory. Doklady Acad. Nauk USSR, 1956... ...should be injected in the energy-momentum tensor, so that this is a looped system which has no exact analytical solution. In the case of a quantum mec... ... condition is w+v i u i =c 2 , whereu i = dx i dt is its three-dimensional coordinate velocity. From this the square of that space-time interval by wh... ...he assumption that the histogram shapes are determined by a picture of the celestial sphere, and also by interposition of the Earth, the Sun and the M... ...he assumption of association of the histogram shapes with a picture of the celestial sphere, and also with interposition of the Earth, the Sun and the... ... of the alpha particles of radioactive decay at the direction to the north celestial pole. This result meant, that the question is not about dependenc...

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Progress in Physics : The Journal on Advanced Studies in Theoretical and Experimental Physics, Including Related Themes from Mathematics, Volume 2

By: Florentin Smarandache

...lbert solution, is based upon a misunderstanding of the signifcance of the coordinate radius r. This quantity is neither a coordinate nor a radius in ... ... and incorrectly called the “Schwarzschild” solution, r is taken both as a coordinate and a radius in the spacetime manifold of the point-mass. In my ... ...al solution for the vacuum feld, I proved that r is neither a radius nor a coordinate in the gravitational feld (M g ,g g ), as Stavroulakis [3, 4, 5]... ...of ther-parameter of a certain spacetime event depends upon the coordinate system chosen. However, the proper radiusR p (D(r)) and the curvature radiu... ...vature radius p C n (D(r)) of that event are independent of the coordinate system. This is easily seen as follows. Consider a great circle centred at ... ...χ 2π −α √ α , 2πα χ<∞, which is independent of the coordinate system chosen. To fnd the r-parameter in terms of a particular coordinate s... ...conformal infnity) of the past and future light-cones are spheres S 2 (the celestial sphere). This explains why the (Shilov) boundaries are es- sentia... ...asure-density (the measure- current) whose fux through the future and past celestial spheres S 2 (associated with the future/past light-cones) at time... ...y i + ,i − , respectively, isV(S 2 )ˆ μ[Q 4 ]. The net fux through the two celestial spheres S 2 at timelike infnity i ± requires an overall factor of...

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