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Descriptions of Relativistic Dynamics with World Line Condition

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URI: https://hdl.handle.net/10016/38242
ISSN: 2624-960X
DOI: https://doi.org/10.3390/quantum1020016
UXXI: AR/0000026109
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descriptions_QR_2019.pdf (823.89 KB)
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2019-10-19
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MDPI
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Abstract
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.
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Relativistic dynamics, No-interaction theorem, World line condition
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Ciaglia, F. M., Di Cosmo, F., Ibort, A., & Marmo, G. (2019). Descriptions of relativistic dynamics with world line condition. Quantum reports, 1(2), 181-192.
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