منابع مشابه
Symmetries , Singularities and the De - Emergence of Space
Recent work has revealed intriguing connections between a Belinsky–Khalatnikov– Lifshitz-type analysis of spacelike singularities in general relativity and certain infinitedimensional Lie algebras, particularly the “maximally extended” hyperbolic Kac–Moody algebra E10. In this essay we argue that these results may lead to an entirely new understanding of the (quantum) nature of space(–time) at ...
متن کاملThe Symmetries of Equivalent Lagrangian Systems and Constants of Motion
In this paper Mathematical structure of time-dependent Lagrangian systems and their symmetries are extended and the explicit relation between constants of motion and infinitesimal symmetries of time-dependent Lagrangian systems are considered. Starting point is time-independent Lagrangian systems ,then we extend mathematical concepts of these systems such as equivalent lagrangian systems to th...
متن کاملReduction of Differential Equations by Lie Algebra of Symmetries
The paper is devoted to an application of Lie group theory to differential equations. The basic infinitesimal method for calculating symmetry group is presented, and used to determine general symmetry group of some differential equations. We include a number of important applications including integration of ordinary differential equations and finding some solutions of partial differential equa...
متن کاملThe emergence of use of biological herbicides
Serious attention to hazardous chemical pesticides began with publication of the book “Silent Spring” by Rachel Carson in 1962. Scientists believe that agriculture had the greatest impact on the environment. The most reliable evidence comes from application of million tons of chemical fertilizers and pesticides with short or long adverse effects on ecosystem. Therefore, it is essential to imple...
متن کاملSymmetries and Reversing Symmetries of Trace Maps
A (discrete) dynamical system may have various symmetries and reversing symmetries, which together form its so-called reversing symmetry group. We study the set of 3D trace maps (obtained from two-letter substitution rules) which preserve the Fricke-Vogt invariant I(x, y, z). This set of dynamical systems forms a group G isomorphic with the projective linear (or modular) group PGl(2, Z ). For s...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physics Letters B
سال: 2012
ISSN: 0370-2693
DOI: 10.1016/j.physletb.2012.10.044