About Possible Extensions of Quantum Theory

Yi-Fang Chang

Based on the extensive quantum theory, the extensive quantum field theory first is discussed. Second, we propose the extensive loop quantum gravity and nineteen possible ways. Third, we research the extensive quantum statistics and relations with various interactions, in which FD and BE statistics correspond to repulsion and attraction interactions, respectively. Fourth, we study these theoretical applications in biology

Louis de Broglie

Inge Svein Helland

Hans H. Diel

The long lasting discussion on the completeness of quantum theory (QT) has not yet come to an end. The discussion is impeded by the lack of a clear understanding of what makes up the contents of a theory of physics in general and of QT specifically. After such an understanding has been developed, a more precise definition of global properties, such as the completeness, computability, and extensibility of a theory, is possible and necessary. This paper addresses these subjects for theories of physics and, in particular, for QT. The basis for the definition of the completeness of a theory is the proposed definition of a "formal causal model of a physical theory". The formal model can be applied to discussions of general attributes, such as completeness, computability, and extensibility.

Inge Svein Helland

Federico Holik, G. M. Bosyk, Guido Bellomo

In this article, we discuss the formal structure of a generalized information theory based on the extension of the probability calculus of Kolmogorov to a (possibly) non-commutative setting. By studying this framework, we argue that quantum information can be considered as a particular case of a huge family of non-commutative extensions of its classical counterpart. In any conceivable information theory, the possibility of dealing with different kinds of information measures plays a key role. Here, we generalize a notion of state spectrum, allowing us to introduce a majorization relation and a new family of generalized entropic measures.