Abstract
This chapter gives the background for the book. Its relation to other views on the foundation of quantum theory are clarified and discussed. The fundamental notion of an e-variable (epistemic conceptual variable) is explained, it is discussed and is related to the statistical parameter-concept. A quantum state is in some generality linked to a question-and-answer pair, and an experiment connected to such a question-and-answer pair is described for the case of a spin 1/2 particle. The two basic postulates of quantum theory are stated and discussed. The importance of inaccessible conceptual variables is stressed, and this is related to Bohr complementarity.
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References
Aerts, D., Sozzo, S., & Tapia, J. (2014). Identifying quantum structures in the Ellsberg paradox. International Journal of Theoretical Physics, 53, 3666–3682.
Ashtiani, M. B., & Azgomi, M. A. (2015). A survey of quantum-like approaches to decision making and cognition. Mathematical Social Sciences, 75, 49–80.
Bagarello, F. (2013). Quantum dynamics for classical systems. Hobroken, NJ: Wiley.
Ballentine, L. E. (1998). Quantum mechanics. A modern development. Singapore: World Scientific.
Bell, J. S. (1975). The theory of local beables. Reprinted in Bell (1987).
Bell, J. S. (1987). Speakable and unspeakable in quantum mechanics. Cambridge: Cambridge University Press.
Brody, T. (1993). In L. de la Pera & P. Hodgson. The philosophy behind physics. Berlin: Springer.
Busemeyer, J. R., & Bruza, P. (2012). Quantum models of cognition and decision. Cambridge: Cambridge University Press.
Cabello, A. (2015). Interpretations of quantum theory: A map of madness. arXiv: 1509.0471v1 [quant-ph].
Charrakh, O. (2017). On the reality of the wavefunction. arXiv: 1706.01819 [physics.hist-ph].
Einstein, A., Podolsky, B., & Rosen, N. (1935). Can quantum-mechanical description of physical reality be considered complete? Physical Review, 47, 777–780.
Eichberger, J., & Pirner, H. J. (2017). Decision theory with a Hilbert space as a probability space. arXiv: 1707.07556 [quant-ph].
Fisher, R. A. (1922). On the mathematical foundations of theoretical statistics. Philosophical Transactions of the Royal Society of London. Series A, 222, 309–368. Reprinted in: Fisher R. A. Contribution to Mathematical Statistics. Wiley, New York (1950)
Fuchs, C. A. (2010). QBism, the Perimeter of Quantum Bayesianism. arXiv: 1003.5209v1 [quant-ph].
Fuchs, C. A. (2016). On participatory realism. arXiv: 1601.04360v2 [quant-ph].
Fuchs, C. A., Mermin, N. D., & Schack, R. (2013). An introduction to QBism with an application to the locality of quantum mechanics. arXiv: 1311.5253v1 [quant-ph].
Fuchs, C. A., & Peres, A. (2000). Quantum theory needs no interpretation. Physics Today, S-0031-9228-0003-230-0; Discussion Physics Today, S-0031-9228-0009-220-6.
Fuchs, C. A., & Schack, R. (2011). A quantum-Bayesian route to quantum-state space. Foundations of Physics, 41, 345–356.
Haven, E., & Khrennikov, A. (2013). Quantum social science. Cambridge: Cambridge University Press.
Haven, E., & Khennikov, A. (2016). Quantum probability and mathematical modelling of decision making. Philosophical Transactions of the Royal Society A, 374, 20150105.
Helland, I. S. (2006). Extended statistical modeling under symmetry; the link toward quantum mechanics. Annals of Statistics, 34, 42–77.
Helland, I. S. (2008). Quantum mechanics from focusing and symmetry. Foundations of Physics, 38, 818–842.
Helland, I. S. (2010). Steps towards a unified basis for scientific models and methods. Singapore: World Scientific.
Khrennikov, A. (2010). Ubiquitous quantum structure. Berlin: Springer.
Khrennikov, A. (2014). Beyond quantum. Danvers, MA: Pan Stanford Publishing.
Khrennikov, A. (2016). Quantum Bayesianism as a basis of general theory of decision making. Philosophical Transactions of the Royal Society A, 374, 20150245.
Knorr Cetina, K. (1999). Epistemic cultures. How the sciences make knowledge. Cambridge, MA: Harvard University Press.
Leifer, M. S. (2014). Is the quantum state real? An extended review of ψ-ontology theorems. arXiv:1409.1570v2 [quant-ph].
Mermin, N. D. (2014). Why QBism is not the Copenhagen interpretation and what John Bell might have thought of it. arXiv.1409.2454 [quant-ph].
Norsen, T., & Nelson, S. (2013). Yet another snapshot of fundamental attitudes toward quantum mechanic. arXiv:1306.4646v2 [quant-ph].
Pearl, J. (2009). Causality. Models, reasoning and inference (2nd ed.). Cambridge: Cambridge University Press.
Pothos, E. M., & Busemeyer, J. R. (2013). Can quantum probability provide a new direction for cognitive modeling? With discussion. Behavioral and Brain Sciences, 36, 255–327.
Pusey, M. F., Barrett, J., & Rudolph, T. (2012). On the reality of quantum states. Nature Physics, 8, 475–478.
Rovelli, C. (2016). An argument against a realistic interpretation of the wave function. Foundations of Physics, 46, 1229–1237.
Schlosshauer, M., Koer, J., & Zeilinger, A. (2013). A snapshot of fundamental attitudes toward quantum mechanics. Studies in History and Philosophy of Modern Physics, 44, 222–238.
Schweder, T., & Hjort, N. L. (2016). Confidence, likelihood, probability. Statistical inference with confidence distributions. Cambridge: Cambridge University Press.
Smilga, W. (2017). Towards a constructive foundation of quantum mechanics. Foundations of Physics, 47, 149–159.
Smolin, L. (2011). A real ensemble interpretation of quantum mechanics. aXiv. 1104.2822 [quant-ph].
Sornette, D. (2014). Physics and financial economics (1776-2014): puzzles, Ising and agent-based models. Reports on Progress in Physics, 77, 062001.
Spekkens, R. W. (2007). In defense of the epistemic view of quantum states: A toy theory. Physical Review A, 75, 032110.
Spekkens R. W. (2014). Quasi-quantization: Classical statistical theories with an epistemic restriction. arXiv.1409.304 [quant-ph].
Tammaro E. (2014). Why current interpretations of quantum mechanics are deficient. arXiv1408.2083v2 [quant-ph].
Timpson, C. G. (2008). Quantum Bayesianism: A study. Studies in History an Philosophy of Modern Physics, 39, 579–609.
von Baeyer, H. C. (2013). Quantum weirdness? It’s all in your mind. Scientific American, 308(6), 38–43.
von Baeyer, H. C. (2016). QBism: The future of quantum physics. Harvard: Harvard University Press.
von Neumann, J. (1932). Mathematische Grundlagen der Quantenmechanik. Berlin: Springer.
Wootters, W. K. (1980). The Acquisition of Information from Quantum Measurements. PhD Thesis. Center for Theoretical Physics. The University of Texas at Austin.
Yukalov V. I., & Sornette, D. (2008). Quantum decision theory as a quantum theory of measurement. Physics Letters A, 372, 6867–6871.
Yukalov, V. I., & Sornette, D. (2009). Processing information in quantum decision theory. Entropy, 11, 1073–1120.
Yukalov, V. I., & Sornette, D. (2010). Mathematical structure of quantum decision theory. Advances in Complex Systems, 13, 659–698.
Yukalov, V. I., & Sornette, D. (2011). Decision theory with prospect interference and entanglement. Theory and Decision, 70, 383–328.
Yukalov, V. I., & Sornette, D. (2014). How brains make decisions. Springer Proceedings in Physics, 150, 37–53.
Zeilinger, A. (1999). A foundational principle for quantum mechanics. Foundations of Physics, 29, 631–643.
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Helland, I.S. (2018). The Epistemic View Upon Science. In: Epistemic Processes. Springer, Cham. https://doi.org/10.1007/978-3-319-95068-6_1
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DOI: https://doi.org/10.1007/978-3-319-95068-6_1
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