Descriptions of Relativistic Dynamics with World Line Condition Articles uri icon

publication date

  • October 2019

start page

  • 181

end page

  • 192


  • 2


  • 1

International Standard Serial Number (ISSN)

  • 2624-960X


  • In this paper, a generalized form of relativistic dynamics is presented. A realization of the PoincarĂ© algebra is provided in terms of vector fields on the tangent bundle of a simultaneity surface in R4 . The construction of this realization is explicitly shown to clarify the role of the commutation relations of the PoincarĂ© algebra versus their description in terms of Poisson brackets in the no-interaction theorem. Moreover, a geometrical analysis of the "eleventh generator" formalism introduced by Sudarshan and Mukunda is outlined, this formalism being at the basis of many proposals which evaded the no-interaction theorem.


  • Mathematics
  • Physics
  • Telecommunications


  • relativistic dynamics; no-interaction theorem; world line condition