RT Journal Article
T1 Descriptions of Relativistic Dynamics with World Line Condition
A1 Ciaglia, Florio Maria
A1 Di Cosmo, Fabio
A1 Ibort Latre, Luis Alberto
A1 Marmo, Giuseppe
AB In this paper, a generalized form of relativistic dynamics is presented. A realization of the Poincaré 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 Poincaré 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.
PB MDPI
SN 2624-960X
YR 2019
FD 2019-10-19
LK https://hdl.handle.net/10016/38242
UL https://hdl.handle.net/10016/38242
LA eng
NO F.D.C. and A.I. would like to thank partial support provided by the MINECO research project MTM2017-84098-P and QUITEMAD++, S2018/TCS-A4342. A.I. and G.M. acknowledge financial support from the Spanish Ministry of Economy and Competitiveness, through the Severo Ochoa Programme for Centres of Excellence in RD(SEV-2015/0554). G.M. would like to thank the support provided by the Santander/UC3M Excellence Chair Programme 2019/2020, and he is also a member of the Gruppo Nazionale di Fisica Matematica (INDAM), Italy.
DS e-Archivo
RD 1 sept. 2024