1998/10/30 by Y. S. Kim, Kim, Y. S.
Physics and Astronomy · #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories #Nuclear Theory (nucl-th) #Quantum Physics (quant-ph) #Relativity and Gravitational Theory #hep-ph #hep-th #nucl-th #quant-ph
paper · pdf · doi:10.48550/arxiv.hep-ph/9810538
RevTex 25 pages, 3 psfigs, Contribution to the Nova Collection of papers on the Lorentz group (edited by Valeri Dvoeglazov)
arxiv created 1998/10/30 · openalex publication_date 1998/10/30 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The difference between Lorentz invariance and Lorentz covariance is discussed in detail. A covariant formalism is developed for the internal space-time symmetry of extended particles, especially in connection with the insightful observations Feynman made during the period 1969-72. A Lorentz-group formalism is presented for the harmonic oscillator model of Feynman, Kislinger and Ravndal, which was originally based on hadronic mass spectra. This covariant version allows us to construct a parton distribution function by Lorentz-boosting the oscillator wave function of a hadron at rest. The role of the time-separation variable is discussed in detail. It is shown that, due to our inability to make measurements on this variable, it belongs to Feynman's rest of the universe. Our failure to observe the rest of the universe leads to an increase in entropy.