A New Organization of Quantum Theory Based on Quantum Probability

Luigi Accardi

Jerome R. Busemeyer, Zheng Wang, Emmanuel Pothos

Quantum probability theory provides a new formalism for constructing probabilistic and dynamic systems of cognition and decision. The purpose of this chapter is to introduce psychologists to this fascinating theory. This chapter is organized into six sections. First, some of the basic psychological principles supporting a quantum approach to cognition and decision are summarized; second, some notations and definitions needed to understand quantum probability theory are presented; third, a comparison of quantum and classical probability theories is presented; fourth, quantum probability theory is used to account for some paradoxical findings in the field of human probability judgments; fifth, a comparison of quantum and Markov dynamic theories is presented; and finally, a quantum dynamic model is used to account for some puzzling findings of decision-making research. The chapter concludes with a summary of advantages and disadvantages of a quantum probability theoretical framework for modeling cognition and decision.

Ronnie Hermens

Jincheng Zhang

This paper investigates the theoretical modeling of Probability-Structured Fields (PSFs) as a novel approach to physics, specifically focusing on the application of concepts like self-organizing waves and self-organizing forces. We propose a framework that translates these fundamental principles into mathematical models, offering a potential bridge between classical physics and quantum field theory and topology. The core mechanism involves utilizing probabilistic variables and state equations to generate and control quantum states, and to construct novel topological structures. The paper will demonstrate the potential of this approach to unlock new insights into the behavior of physical systems, offering a potentially transformative paradigm in theoretical physics.

Gino Tarozzi

David Mortimore, M. Canan