The dressing chain of discrete symmetries and proliferation of nonlinear equations

1998 ◽  
Vol 115 (2) ◽  
pp. 530-541 ◽  
Author(s):  
A. B. Borisov ◽  
S. A. Zykov
Keyword(s):  
Nonlinear Equations ◽  
Discrete Symmetries ◽  
Dressing Chain

scholarly journals INFORMATION AND PARTICLE PHYSICS

2011 ◽  
Vol 26 (09) ◽  
pp. 681-689 ◽  
Author(s):  
WEI KHIM NG ◽  
RAJESH R. PARWANI
Keyword(s):  
Nonlinear Equations ◽  
Discrete Symmetries ◽  
Particle Physics ◽  
Evolution Equations ◽  
Lorentz Invariance ◽  
Relativistic Quantum ◽  
Lorentz Violation ◽  
Neutrino Sector ◽  
Information Measures

Information measures for relativistic quantum spinors are constructed to satisfy various postulated properties such as normalization invariance and positivity. Those measures are then used to motivate generalized Lagrangians meant to probe shorter distance physics within the maximum uncertainty framework. The modified evolution equations that follow are necessarily nonlinear and simultaneously violate Lorentz invariance, supporting previous heuristic arguments linking quantum nonlinearity with Lorentz violation. The nonlinear equations also break discrete symmetries. We discuss the implications of our results for physics in the neutrino sector and cosmology.

Solving System of Nonlinear Equations using Genetic Algorithm

2019 ◽  
Vol 10 (4) ◽  
pp. 877-886 ◽  
Author(s):  
Chhavi Mangla ◽  
Musheer Ahmad ◽  
Moin Uddin
Keyword(s):  
Genetic Algorithm ◽  
Nonlinear Equations ◽  
System Of Nonlinear Equations
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