The research tries to explore how the superposition principle from quantum mechanics can be applied to understand human cognition. It aims to identify the potential application and implications of this principle in fields such as psychology, education and mental health and also seeks to challenge traditional cognitive models and open up new research paths, ultimately it hopes to help us understand more about how people think and behave. The methodology of this research involved establishing a research team of 3 individuals, who are experts in psychology, research and data synthesis to move forward with the study. They then created the research question and selected online databases like ResearchGate, PubMed, and Google Scholar and used keywords like “superposition principle” and “human cognition”. The researchers screened and selected relevant studies, analysed the data systematically and applied a structural approach to make sure it was accurate and reliable. The method aims to capture the most current literature and minimize biases in the research process. The Impact of Superposition Principle on Human Cognition examines how the superposition principle from quantum mechanics challenges traditional cognitive models, providing new frameworks for research in psychology and related fields. It suggests that this principle not only introduces non-linear probabilistic models to better reflect the dynamic nature of human cognition but also shows the areas for practical application, such as decision-making under uncertainty and mental health research.
Since the beginning of the XXI st century, there has been a process of intense convergence and interpenetration of two seemingly opposing sciences – quantum mechanics and psychology. In accordance with it, the question arises about a common methodological foundation for these sciences. The article shows that the “first philosophy” of Aristotle can serve as a general philosophical methodology for these sciences. In the context of the metaphysical triad necessarypossible-real, the “intersection points” of A. I. Mirakyan’s transcendental psychology and A. Yu. Sevalnikov’s interpretation of quantum mechanics. The article examines the features of the formation of a new direction in modern psychology, which studies the problem of mental phenomena generation. At the same time, a comparison is made with the transcendentalism of Descartes, in which its limitations and incompleteness are revealed. It is shown that both in transcendental psychology and in quantum mechanics (W. Heisenberg) epistemological problems arise associated with the impossibility of using the language of their classical predecessors. In both sciences, it becomes necessary to apply a new language, a new way of thinking and a new logic of understanding the phenomena under study. All this allows us to conclude that both in transcendental psychology and in quantum mechanics, researchers are dealing with a new ontology of reality that differs from the reality studied in classical physics and in the phenomenology of classical psychology. The article substantiates that the main methodological reason limiting the possibilities of carrying out theoretical studies of deeper layers of reality is the use of the product (physical) approach. The product approach is based on the language used to describe the observed reality. It became necessary to divide reality into observable and unobservable. In the language of metaphysics of modalities, this is translated as «being in possibility» and «being in reality.» One of the “intersection points” of quantum mechanics and transcendental psychology is the category ofpossibility, in which the essence of reality is expressed, which both disciplines compared in this article seek to describe and explain
Recently foundational issues of applicability of the formalism of quantum mechanics (QM) to cognitive psychology, decision making, and psychophysics attracted a lot of interest. In particular, in \cite{DKBB} the possibility to use of the projection postulate and representation of "mental observables" by Hermitian operators was discussed in very detail. The main conclusion of the recent discussions on the foundations of "quantum(-like) cognitive psychology" is that one has to be careful in determination of conditions of applicability of the projection postulate as a mathematical tool for description of measurements of observables represented by Hermitian operators. To represent some statistical experimental data (both physical and mental) in the quantum(-like) way, one has to use generalized quantum observables given by positive operator-valued measures (POVMs). This paper contains a brief review on POVMs which can be useful for newcomers to the field of quantum(-like) studies. Especially interesting for cognitive psychology is a variant of the formula of total probability (FTP) with the interference term derived for incompatible observables given by POVMs. We present an interpretation of the interference term from the psychological viewpoint. As was shown before, the appearance of such a term (perturbing classical FTP) plays the important role in cognitive psychology, e.g., recognition of ambiguous figures and the disjunction effect. The interference term for observables given by POVMs has much more complicated structure than the corresponding term for observables given by Hermitian operators. We elaborate cognitive interpretations of different components of the POVMs-interference term and apply our analysis to a quantum(-like) model of decision making.