Quantum-like Model of a Rat in a Maze

Quantum mechanics (QM) provides a formal framework for modelling uncertainty and dynamic evolution in physical systems. While its mathematical structure is well established, its application beyond microscopic phenomena remains an area of active discussion. This work illustrates the axioms of QM in an intuitive, accessible way through a textbook-style example designed to parallel decision-making tasks.

The seemingly trivial setup raises questions about the interpretation and understanding of the underlying model. While it does not aim to introduce new results in quantum theory, it serves as a conceptual bridge, demonstrating fundamental principles in a context involving a living organism. The approach may prove useful as a foundation for quantum-inspired models of decision-making and living systems. Links to contemporary interpretations of QM are also discussed.

This paper has been accepted for and appeared in the Proceedings of the Student Scientific Conference of Solid State Physics (SVK FPL 5), Nové Hrady, Czech Technical University, 2025, ISBN 978-80-01-07499-2, pp. 9 - 15. The present version is the authors' accepted manuscript.