Vladimir Arnold's definition of Galilean structure is a four dimensional affine space plus a function given this name which maps R four to R one.
Vladimir Arnold's definition of Galilean structure is a four dimensional affine space plus a function given this name which maps R four to R one. The correlation function in the LSZ reduction formula usually includes a symbol that orders the operators according to this quantity. The exponential of negative i times the Hamiltonian times this quantity over h bar is a unitary operator which determines how the system depends on this quantity. Virtual particles may violate conservation of energy provided the uncertainty in energy times uncertainty in this quantity is less than h bar over two. The form of this value that is constant in all reference frames is called "proper," and this zeroth coordinate of Minkowski space is, in general, dilated by a factor of gamma. For 10 points, name this dimension which is measured in seconds.
Vladimir Arnold's definition of Galilean structure is a four dimensional affine space plus a function given this name which maps R four to R one.
time