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Kinetic energy of a charge moving at the velocity of v has two different values Lubomir Vlcek Rokytov 132, 086 01, Slovak Republic Email: lubomir.vlcek@gmail.com Abstract Kinetic energy of a charge moving at the velocity of v has two different values: Kinetic energy of electron , (proton) Tkin id =mc2 [ln |1-v/c|+ (v/c) / (1-v/c) ] in direction of motion of electron, (proton) as particle, where v is velocity of electron, (proton). Kinetic energy of electron , (proton) Tkin ad = mc2 [ln |1+v/c|- (v/c) / (1+v/c) ] against direction of motion of electron, (proton) as wave, where v is velocity of electron, (proton). Shortened theory 3. Calculation of the kinetic energy Tkin of a body moving at the velocity of v For the sake of simplicity let us consider for instance the gravitational field of the Earth. Analogically to (2.20)[2] for the intensity of the gravitational field one could write: (3.1) Let us consider the physical processes in which kinetic energy is transformed into potential one and potential energy is transformed into kinetic one. There is a state in which the potential energy equals total energy of the body (while the kinetic energy equals zero) and the state in which kinetic energy equals the total energy of the body (while the potential energy equals zero). These extreme will help us to calculate the kinetic energy of body. For the potential energy we have (3.2) By integrating and utilizing of the relation (3.1) we have By substituting , we get (3.3) Solving by substitution we get (3.4) while For isn’t , we have the kinetic energy in the direction of motion (3.5) For we have the kinetic energy against the direction of motion (3.6) If (i.e. v<<c) utilizing the series the equations (3.5) and (3.6)will be changed in the equation complying with the Newton’s mechanics. In Table 2 the values of the kinetic energy are , . The total energy according to Einstein . Table 2. Calculation of the kinetic energy Tkin of a body moving at the velocity of v according to Vlcek and according to Einstein v/c Vlcek ´s theory - kinetic energy Vlcek ´s theory – kinetic energy Vlcek ´s theory against direction of motion Tkin ad = as wave in direction of motion Tkin id = as particle m = m0 = const mc2[ln |1+v/c|- (v/c)/(1+v/c)] mc2[ln |1-v/c|+ (v/c)/(1-v/c)] ( Tk ad + Tk id )/2 Einstein ´s theory Tkin = mc2 – m0 c2 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 0.99 1.0 0.00439 mc2 0.0156 mc2 0.0316 mc2 0.0508 mc2 0.0722 mc2 0.0950 mc2 0.1174 mc2 0.1434 mc2 0.1680 mc2 0.1906 mc2 0.1931 mc2 0.0057 mc2 0.0268 mc2 0.0719 mc2 0.1558 mc2 0.3068 mc2 0.5837 mc2 1.1293 mc2 2.3905 mc2 6.6974 mc2 94.3948 mc2 infinite 0.0050 m c2 0.0212 m c2 0.0517 m c2 0.1033 m c2 0.1895 m c2 0.3393 m c2 0.6233 m c2 1.2669 m c2 3.4327 m c2 47.294 m c2 infinite Direct measurement of the speed in the experiments Kirchner[3], [4], Perry, Chaffee [5] For v/c = 0.08-0.27 can not yet prove the validity of Vlcek's theory[2] or Einstein's theory[1]. 0.0050 m c2 0.0200 m c2 0.0480 m c2 0.0910 m c2 0.1550 m c2 0.2500 m c2 0.4010 m c2 0.6670 m c2 1.2930 m c2 6.9200 m c2 infinite Consequence. The main differences between incompetent Einstein's theory[1] and the latest knowledge[2]are: 1.Form of Intensity of the Moving Charge Electric Field is asymmetrical, 2. Form of the interference field is non-linear, 3. Kinetic energy of a charge moving at the velocity of v has two different values: Kinetic energy of electron , (proton) Tkin id =mc2 [ln |1-v/c|+ (v/c) / (1-v/c) ] in direction of motion of electron, (proton) where v is velocity of electron, (proton). Kinetic energy of electron , (proton) Tkin ad = mc2 [ln |1+v/c|- (v/c) / (1+v/c) ] against direction of motion of electron, (proton) where v is velocity of electron, (proton). These are the main differences between incompetent Einstein's theory and the latest knowledge. Vlcek simplifies knowledge in physics: Baryons (and mesons) are protons (or alpha particles) with different speeds. In direction of motion of the proton (or alpha particle) = baryon, against the direction of motion of the proton (or alpha particle) = meson. Leptons (and neutrinos) are electrons with different speeds . In direction of motion of the electron = lepton, against the direction of motion of the electron = neutrino. Consider the experiments at CERN and particle decay mode see [9] , [ 10] and [11]. References [1] A. Einstein : Sobranie naucnych trudov v cetyrech tomach pod redakciej I. E.TAMMA, Ja. A. SMORODINSKOGO, B. G. KUZNECOVA, Izdatelstvo "Nauka", Moskva 1966 [2] L. Vlcek, : New Trends in Physics, Slovak Academic Press, Bratislava 1996, ISBN 80-85665-64-6. Presentation on European Phys. Soc. 10th Gen. Conf. – Trends in Physics ( EPS 10) Sevilla , E 9 -13 September 1996 [3] F. Kirchner : Über die Bestimmung der spezifischen Ladung des Elektrons aus Geschwindigkeitsmessungen, Ann. d. Physik [5] 8, 975 (1931) [4] F. Kirchner : Zur Bestimmung der spezifischen Geschwindigkeitsmessungen , Ann. d. Physik [5] 12, 503 (1932) Ladung des Elektrons aus [5] Ch. T. Perry, E.L. Chaffee : A DETERMINATION OF e/m FOR AN ELECTRON BY DIRECT MEASUREMENT OF THE VELOCITY OF CATHODE RAYS , Phys.Rev.36,904 (1930) [6] FIZEAU, M. H.: Sur les hypothéses relatives a l’éther lumineux. Ann. de Chim. et de Phys., 3e série, T. LVII. (Décembre 1859) Présente á l’Academie des Sciences dans sa séance du 29 septembre 1851. [7] KNOPF, O.: Annalen der Physik, Vierte folge, Band 62, 1920 :"Die Versuche von F. Harress uber die Geschwindigkeit des Lichtes in bewegten Korpern, von O. Knopf. p. 391 – 447 [8] KAUFMANN, W.: Annalen der Physik, Vierte Folge, Band 19, Leipzig, 1906 Verlag von Johann Ambrosius Barth p. 487-552 [9] Great table of elementary particles. http://www.trendsinphysics.info/ [10] K Nakamura et al (Particle Data Group) 2010 J. Phys. G: Nucl. Part. Phys. 37 075021 [11] Particles, waves and trends in physics http://www.trendsinphysics.info/ http://vixra.org/pdf/1409.0090v1.pdf , http://vixra.org/author/lubomir_vlcek https://tuke.academia.edu/LubomirVlcek http://www.trendsinphysics.info/