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Symmetry schemes compatible with non-self-adjoint Lie-admissible forces

Journal Article · · Hadronic J.; (United States)
OSTI ID:6790959
We focus on the problem of symmetry breaking in Hadron Physics. Our guiding principle is that, above all, symmetry breaking effects should reflect the dynamics of the hadronic world. We consider, first, the so-called internal hadronic symmetries about the breaking of which there is universal agreement. Staying faithful to our guiding principle, we advocate the Lie-admissible coverings of internal Lie symmetries as a mechanism for breaking these symmetries. We present phenomenological arguments pertaining to the relevance of these Lie-admissible coverings. We next turn our attention to space-time symmetries. Although the evidence here is not presently compelling, we continue our pursuit of the Lie-admissible coverings of these latter symmetries too. A number of ensuing physical ramifications are discussed. To go further along these lines, we adopt Santilli's recently proposed theory on the nature of hadronic forces, and make certain interpretations of this theory based on symmetry considerations. In order to make our ideas explicit, we direct our efforts toward Newtonian systems. In this case there exists a well-defined scheme which connects symmetry content with dynamics. After presenting this scheme and explaining how it works, we make several conjectures relating it to Santilli's hadronic theory.
Research Organization:
Univ. of Athens, Greece
OSTI ID:
6790959
Journal Information:
Hadronic J.; (United States), Journal Name: Hadronic J.; (United States) Vol. 2:3; ISSN HAJOD
Country of Publication:
United States
Language:
English