Quantum-Like Approach for Deriving a Theory Describing the Concept of Interpretation
Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 32870
Quantum-Like Approach for Deriving a Theory Describing the Concept of Interpretation

Authors: Yehuda Roth

Abstract:

In quantum theory, a system’s time evolution is predictable unless an observer performs measurement, as the measurement process can randomize the system. This randomness appears when the measuring device does not accurately describe the measured item, i.e., when the states characterizing the measuring device appear as a superposition of those being measured. When such a mismatch occurs, the measured data randomly collapse into a single eigenstate of the measuring device. This  scenario resembles the interpretation process in which the observer does not experience an objective reality but interprets it based on preliminary descriptions initially ingrained into his/her mind. This distinction is the motivation for the present study in which the collapse scenario is regarded as part of the interpretation process of the observer. By adopting the formalism of the quantum theory, we present a complete mathematical approach that describes the interpretation process. We demonstrate this process by applying the proposed interpretation formalism to the ambiguous image "My wife and mother-in-law" to identify whether a woman in the picture is young or old.

Keywords: Interpretation, ambiguous images, data reception, state matching, classification, determination.

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 146

References:


[1] A. Bassi and G. Ghirardi, Phys.Rept. 379, 257-426, (2003), https://doi.org/10.1016/S0370-1573%2803%2900103-0.
[2] M.A. Nielsen and I.L. Chuang, Quantum Computation and Quantum Information, Cambridge Series on Information and the Natural Sciences, (Cambridge University Press, 2000).
[3] I. Salom, "The hard problem and the measurement problem: a no-go theorem and potential consequences", (2019) arXiv:2001.03143v1
[physics.hist-ph], https://doi.org/10.48550/arXiv.2001.03143
[4] Marinescu and G.M. Marinescu, CHAPTER 2 - Measurements and Quantum Information, "Classical and Quantum Information", (Academic Press, 2012), Pages 133-220, ISBN 9780123838742, https://doi.org/10.1016/B978-0-12-383874-2.00002-3.
[5] Murdoch, A. I. (2003), 15(3), 309–320, https://www.doi.org/10.1007/s00161-003-0121-9.
[6] A. Bassi, "Philosophy of Quantum Mechanics: Dynamical Collapse Theories", Oxford Research Encyclopedia of Physics(2022),
[7] Y. Roth, 7, (2017), https://doi.org/10.1016/j.rinp.2017.10.031.
[8] Y. Roth, J. Phys. Conf. Ser. 490 012055, 10.1088/1742-6596/490/1/012055
[9] C. Willig, "The SAGE Handbook of Qualitative Data Analysis, Interpretation and analysis", Edited by: Uwe Flick, 136-145 (Sage publishing, 2014), ISBN 978-1-4462-0898-4.
[10] C. Fantinuoli, "Trends in E- Tools and Resources for Translators and Interpreters", 45, (Brill, 2017) Ch. 7, Pages: 153-174. https://doi.org/10.1163/9789004351790_009 from https://oxfordre.com/physics/view/10.1093/acrefore/9780190871994.001.0001 /acrefore-9780190871994-e-77.
[11] J. Kornmeier and M. Bach, 6, 1-13(2012). 10.3389/fnhum.2012.00051.
[12] M.J. Eppler, J. Mengis, and S. Bresciani, "Seven Types of Visual Ambiguity: On the Merits and Risks of Multiple Interpretations of Collaborative Visualizations," 2008 12th International Conference Information Visualization, 2008, pp. 391-396, 10.1109/IV.2008.47.
[13] J. Donaldson, (2017), "The Young/Old Woman Ambiguous Figure", The Illusions Index. Retrieved from https://www.illusionsindex.org/i/young-woman-or-old-woman.
[14] J.D. Runyan, "Human agency and neural causes: Philosophy of action and the neuroscience of voluntary agency" (Springer, 2013).
[15] P. Brugger and S. Brugger (1993). "The Easter bunny in October: Is it disguised as a duck? Perceptual and Motor Skills", 76(2), pp. 577–578. https://doi.org/10.2466/pms.1993.76.2.577
[16] B.R. Bugelski and D.A. Alampay, D. A. (1961). Canadian Journal of Psychology, 205-211.
[17] P. Goolkasian, 114, 217-228 (1987).
[18] I. Rock and K. Mitchener, K. Perception, 21, 39-45 (1992).
[19] Y. Roth, J. Phys. Conf. Ser., 574 012085(2015), 10.1088/1742-6596/574/1/012085
[20] Classification, 2022, In Merriam-Webster.com, https://www.merriam-webster.com/dictionary/classification
[21] Y. Roth, J. Phys. Commun. 3 045002 https://doi.org/10.1088/2399-6528/ab128d
[22] D. Dürr, S. Goldstein, and N. Zanghí, 172, Issues 1–2, (1992), https://doi.org/10.1016/0375-9601(92)90181-K.
[23] J. Awrejcewicz and P. Hagedorn, Nonlinearity, “Bifurcation and Chaos- Theory and Applications", ( InTech, 2012).
[24] Y. Roth, 490, 012055(2014), 10.1088/1742-6596/490/1/012055.
[25] G. Ghirardi, and A. Bassi, "Collapse Theories", The Stanford Encyclopedia of Philosophy (Summer 2020 Edition), Edward N. Zalta (ed.), https://plato.stanford.edu/archives/sum2020/entries/qm-collapse.