The objectives of the Center Leo Apostel for Interdisciplinary Studies were summarized by his creator as: interdisciplinarity, construction of world views and broad dissemination of scientific knowledge. In compliance with the third of these objectives, we provide a rigorous but accessible popular science version of a research article published by Aerts and Sassoli de Bianchi (Ann Phys 351:975–1025, 2014), where an extended version of the quantum formalism was proposed as a possible solution to the measurement problem. We hope that through articles of this kind, written with an educational spirit and addressed to both academic and nonacademic readers, the interdisciplinary dialogue about foundational issues will be stimulated and the gap between the different sciences reduced.
This is a preview of subscription content, log in to check access.
Buy single article
Instant access to the full article PDF.
Price includes VAT for USA
Subscribe to journal
Immediate online access to all issues from 2019. Subscription will auto renew annually.
This is the net price. Taxes to be calculated in checkout.
Aerts, D., & de Bianchi, M. S. (2014). The extended bloch representation of quantum mechanics and the hidden-measurement solution to the measurement problem. Annals of Physics (N. Y.), 351, 975–1025. https://doi.org/10.1016/j.aop.2014.09.020. (See also the Erratum: Ann. Phys. 366, 197–198. https://doi.org/10.1016/j.aop.2016.01.001).
Aerts, D. (1986). A possible explanation for the probabilities of quantum mechanics. Journal of Mathematics and Physics, 27, 202–210. https://doi.org/10.1063/1.527362.
Aerts, D., & de Bianchi, M. S. (2014). Solving the hard problem of Bertrand’s Paradox. Journal of Mathematics and Physics, 55, 083503. https://doi.org/10.1063/1.4890291.
Aerts, D., & de Bianchi, M. S. (2015a). The unreasonable success of quantum probability I: Quantum measurements as uniform fluctuations. Journal of Mathematical Psychology, 67, 51–75. https://doi.org/10.1016/j.jmp.2015.01.003.
Aerts, D., & de Bianchi, M. S. (2015b). Many-measurements or many-worlds? A dialogue. Foundation Science, 20, 399–427. https://doi.org/10.1007/s10699-014-9382-y.
Aerts, D., & de Bianchi, M. S. (2016). The extended bloch representation of quantum mechanics explaining superposition, interference and entanglement. Journal of Mathematical Physics, 57, 122110. https://doi.org/10.1063/1.4973356.
Aerts, D., & de Bianchi, M. S. (2017). Universal measurements. Singapore: World Scientific.
Aerts, D., & de Bianchi, M. S. (2017). Quantum measurements as weighted symmetry breaking processes: The hidden measurement perspective. International Journal of Quantum Foundations, 3(3), 1–16.
Aerts, D., de Bianchi, M. S., & Sozzo, S. (2017). The extended Bloch representation of entanglement and measurement in quantum mechanics. International Journal of Theoretical Physics, 56, 3727–3739. https://doi.org/10.1007/s10773-016-3257-7.
de Bianchi, M. S., & de Bianchi, L. S. (2015). Solving the measurement problem [Video file]. Retrieved from https://youtu.be/Tk4MsAfC8vE.
About this article
Cite this article
Sassoli de Bianchi, M. Using Abstract Elastic Membranes to Learn About Quantum Measurements. Found Sci 25, 77–85 (2020). https://doi.org/10.1007/s10699-018-9558-y
- Measurement problem