Quantum theory as inductive inference

Ryszard Paweł Kostecki

Published 2010-09-10, updated 2011-09-11Version 4

We present the elements of a new approach to the foundations of quantum theory and probability theory which is based on the algebraic approach to integration, information geometry, and maximum relative entropy methods. It enables us to deal with conceptual and mathematical problems of quantum theory without any appeal to frameworks of Hilbert spaces and measure spaces.