Difference between revisions of "On the Momentum and Kinetic Energy of Particles at Extremely Large Velocities"
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− | Assuming the speed of light to be constant, we showed in a recent work the existence of a generalized group of space and time transformations in which the Lorentz transformation is included. In the present work, starting from the hypothesis of the invariance of the sub-luminal momentum and applying these new transformations, we derive a new equation for the invariant momentum-velocity of particles which can be applied to sub-luminal or super-luminal particles. The kinetic energy shows a maximum at the speed of light, and falls at sub-luminal or super-luminal speeds. There is good agreement with the Newtonian and relativistic results for particle momentum and energy at sub-luminal velocities. We propose as an experimental method for the classification of a particle as sub-luminal, luminal, or super-luminal, the measurement of the ratio between its kinetic energy and momentum, which is independent of the mass of the particle.[[Category:Scientific Paper]] | + | Assuming the speed of light to be constant, we showed in a recent work the existence of a generalized group of space and time transformations in which the Lorentz transformation is included. In the present work, starting from the hypothesis of the invariance of the sub-luminal momentum and applying these new transformations, we derive a new equation for the invariant momentum-velocity of particles which can be applied to sub-luminal or super-luminal particles. The kinetic energy shows a maximum at the speed of light, and falls at sub-luminal or super-luminal speeds. There is good agreement with the Newtonian and relativistic results for particle momentum and energy at sub-luminal velocities. We propose as an experimental method for the classification of a particle as sub-luminal, luminal, or super-luminal, the measurement of the ratio between its kinetic energy and momentum, which is independent of the mass of the particle. |
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+ | [[Category:Scientific Paper|momentum kinetic energy particles extremely large velocities]] | ||
[[Category:Relativity]] | [[Category:Relativity]] |
Revision as of 10:50, 1 January 2017
Scientific Paper | |
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Title | On the Momentum and Kinetic Energy of Particles at Extremely Large Velocities |
Author(s) | Vitor Baranauskas |
Keywords | {{{keywords}}} |
Published | 2002 |
Journal | Galilean Electrodynamics |
Volume | 13 |
Number | 3 |
Pages | 43-45 |
Abstract
Assuming the speed of light to be constant, we showed in a recent work the existence of a generalized group of space and time transformations in which the Lorentz transformation is included. In the present work, starting from the hypothesis of the invariance of the sub-luminal momentum and applying these new transformations, we derive a new equation for the invariant momentum-velocity of particles which can be applied to sub-luminal or super-luminal particles. The kinetic energy shows a maximum at the speed of light, and falls at sub-luminal or super-luminal speeds. There is good agreement with the Newtonian and relativistic results for particle momentum and energy at sub-luminal velocities. We propose as an experimental method for the classification of a particle as sub-luminal, luminal, or super-luminal, the measurement of the ratio between its kinetic energy and momentum, which is independent of the mass of the particle.