In this paper by use of mathematical modeling of an observer [14,15] the notion of relative information functional for relative dynamical systemson compact metric spaces is presented. We extract the information function ofan ergodic dynamical system (X,T) from the relative information of T fromthe view point of observer χX, where X denotes the base space of the system.We also generalize the in...

A interacting theory that violates CPT invariance necessarily violates Lorentz invariance. On the other hand, CPT invariance is not sufficient for out-of-cone Lorentz invariance. Theories that violate CPT by having different particle and antiparticle masses must be nonlocal.

Sufficient conditions for the invariance of evolution problems governed by perturbations (possibly nonlinear) m-accretive operators are provided. The with respect to sublevel sets a constraining functional expressed in terms Dini derivative that functional, outside considered set directions determined operator. An approach non-reflexive Banach spaces is developed and some result improving recen...