Abstract
Human perception is composed of fundamental concepts. If we associate these with states in Hilbert spaces such that the fundamental concepts are associated with the spanning sets of the spaces, a composed concept can be defined through the superposition of states within the selected spanning sets. Under these definitions, no particular spanning set can be defined as being fundamental. Therefore, in this article, we describe the concept of a hierarchy of spaces.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Basieva, I., Khrennikov, A., Ozawa, M.: Quantum-like modeling in biology with open quantum systems and instruments. Biosystems 201, 104328 (2021). https://doi.org/10.1016/j.biosystems.2020.104328, https://www.sciencedirect.com/science/article/pii/S0303264720301994
Svensson, B.: Pedagogical review of quantum measurement theory with an emphasis on weak measurements. Quanta 2(1), 18–49 (2013). https://doi.org/10.12743/quanta.v2i1.12
Carleo, G., et al.: Machine learning and the physical sciences. Rev. Mod. Phys. 91(4), 045002–045002 (2019). https://doi.org/10.1103/RevModPhys.91.045002
Sarfaraj, M.N., Mukhopadhyay, S.: All-optical scheme for implementation of tri-state pauli-x, y and z quantum gates using phase encoding. Optoelectron. Lett. 17(12), 746–750 (2021). https://doi.org/10.1007/s11801-021-1037-y
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2024 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this paper
Cite this paper
Roth, Y. (2024). Ranking of Linear Spaces in Generating a Hierarchy Between Concepts. In: Vlachos, D. (eds) Mathematical Modeling in Physical Sciences. ICMSQUARE 2023. Springer Proceedings in Mathematics & Statistics, vol 446. Springer, Cham. https://doi.org/10.1007/978-3-031-52965-8_38
Download citation
DOI: https://doi.org/10.1007/978-3-031-52965-8_38
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-031-52964-1
Online ISBN: 978-3-031-52965-8
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)