Many novel quantum phenomena emerge in non-equilibrium relativistic matter under extreme conditions such as strong magnetic fields and rotations. The kinetic theory based on Wigner functions field provides a powerful effective microscopic description of these phenomena. In this article we review some recent advances the its applications describing

We establish the conditions that must be satisfied for the mathematical operations of linear algebra and calculus to be applicable. The mathematical foundations of decision theory and related theories depend on these conditions which have not been correctly identified in the classical literature. Operations Research and Decision Analysis Societies should act to correct fundamental errors in the...

the problem of “imagination”, as raised by muslimphilosophers, has several epistemic consequences insubjects as diverse as ontology, prophecy,conceptualization and the functions of art. inilluminationist philosophy of suhrawardi, moreover, bearsthe topic of imagination a correlation to other subjects. ofthe foundations of suhrawardi's processing of the theoryof imagination, the most promin...

Some issues for categorical foundations for mathematics are explored.Among them: how categorical foundations assert the existence of their objectsand arrows, and how categorical set theory motivates its own axiom scheme ofreplacement. Two interpretations of ZF into categorical set theory are explicitlycompared. One is homophonic but partial; the other is total and uses membershi...