On the foundation of the relativistic dynamics with the tachyon View Full Text


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Article Info

DATE

1996-11

AUTHORS

Mu-In Park, Young-Jai Park

ABSTRACT

The theoretical foundation of an object moving faster than light in vacuum (tachyon) is still missing or incomplete. Here we present the classical foundation of the relativistic dynamics including the tachyon. An anomalous sign-factor extracted from the transformation of √1 -u2/c2 under the Lorentz transformation, which has always been missed in the usual formulation of the tachyon, has a crucial role in the dynamics of the tachyon. Due to this factor the mass of the tachyon transforms in an unusual way although the energy and momentum, which are defined as the conserved quantities in all uniformly moving systems, trasform in the usual way as in the case of an object moving slower than light (bradyon). We show that this result can also be obtained from the least-action approach. On the other hand, we show that the ambiguities in the description of the dynamics for an object moving with the velocity of light (luxon) can be consistently removed only by introducing a new dynamical variable. Furthermore, by using the fundamental definition of the momentum and energy, we show that the zero-point energy for any kind of objects,i.e. the tachyon, bradyon, and luxon, which has been known as the undetermined constant, should satisfy some constraints for consistency, and we note that this is essentially another novel relativistic effect. Finally, we remark about the several unsolved problems. More... »

PAGES

1333-1368

References to SciGraph publications

  • 1969-06. Where are tachyons? in LETTERE AL NUOVO CIMENTO (1969-1970)
  • 1931-01. Erweiterung des Unbestimmtheitsprinzips für die relativistische Quantentheorie in ZEITSCHRIFT FÜR PHYSIK A HADRONS AND NUCLEI
  • 1969-07. Causality and Space-like Signals in NATURE
  • 1967-11. Consequences of an unreasonable mass spectrum on a relativistic field theory in IL NUOVO CIMENTO A (1965-1970)
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    http://scigraph.springernature.com/pub.10.1007/bf02742509

    DOI

    http://dx.doi.org/10.1007/bf02742509

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