VOLUME 7, issue 1 |
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S.B. Karavashkin and Vladimir Ev-v DIALOGUES ON RELATIVISTIC DYNAMICAL KINEMATICS ON CONSERVATION OF ENERGY AND IMPULSE Full text |
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Published on 24.02.2007 |
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Keywords: special theory of relativity, inertial reference frames, Lorentz transforms, Galilee transforms, commutativity of matrixes multiplication, theorem of single-valued resolution of vector into orthogonal vectors of affine basis Classification by MSC 2000: 83C05, 83C57, 83C75 Classification by PASC 2001: 04.20.Cv, 04.20.Dw, 04.20.Ex, 04.40.Dg, 04.70.-s, 04.70.Bw, 97.60.-s, 97.60.Lf |
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S.B. Karavashkin and O.N. Karavashkina, NON-UNIQUE-VALUED NATURE OF TRANSFORMS BETWEEN INERTIAL REFERENCE FRAMES IN THE RELATIVISTIC FORMALISM |
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Published on 29.03.2007 |
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On the specific example of passing from one inertial frame to another, also inertial frame moving under some angle to that initial, we will show the solution to be non-single-valued, because the relativistic conception violates the rule of parallelogram in the summation of velocities |
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Keywords: special theory of relativity, inertial reference frames, Lorentz transforms, Galilee transforms, commutativity of matrixes multiplication, theorem of single-valued resolution of vector into orthogonal vectors of affine basis Classification by MSC 2000: 83C05, 83C57, 83C75 Classification by PASC 2001: 04.20.Cv, 04.20.Dw, 04.20.Ex, 04.40.Dg, 04.70.-s, 04.70.Bw, 97.60.-s, 97.60.Lf |