On the Momentum and Kinetic Energy of Particles at Extremely Large Velocities
| Scientific Paper | |
|---|---|
| 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.
