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1

Giuntini, Roberto. Quantum logic and hidden variables. BI Wissenschaftsverlag, 1991.

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2

Leder, Gilah C., Erkki Pehkonen, and Günter Törner, eds. Beliefs: A Hidden Variable in Mathematics Education? Springer Netherlands, 2002. http://dx.doi.org/10.1007/0-306-47958-3.

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3

Budroni, Costantino. Temporal Quantum Correlations and Hidden Variable Models. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-24169-2.

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4

C, Leder Gilah, Pehkonen Erkki, and Törner Günter 1947-, eds. Beliefs: A hidden variable in mathematics education? Kluwer Academic Publishers, 2002.

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5

Sheffield, Charles. Hidden Variables. Phoenix Pick, 2018.

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6

Sheffield, Charles. Hidden Variables. Phoenix Pick, 2018.

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7

Lynagh, Caitlin. Hidden Variables. Troubador Publishing Limited, 2018.

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8

Lynagh, Caitlin. Hidden Variables. Troubador Publishing Limited, 2018.

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9

Matthews, Colin. Hidden Variables: Full Score. Faber & Faber, Limited, 1998.

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10

Peyrard, Nathalie, and Olivier Gimenez. Statistical Approaches for Hidden Variables in Ecology. Wiley & Sons, Incorporated, John, 2022.

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11

Peyrard, Nathalie, and Olivier Gimenez. Statistical Approaches for Hidden Variables in Ecology. Wiley & Sons, Incorporated, John, 2022.

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12

Matthews, Colin. Hidden Variables: Chamber Orchestra of 15 Players. Faber & Faber, 2001.

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13

Peyrard, Nathalie, and Olivier Gimenez. Statistical Approaches for Hidden Variables in Ecology. Wiley & Sons, Incorporated, John, 2022.

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14

Peyrard, Nathalie, and Olivier Gimenez. Statistical Approaches for Hidden Variables in Ecology. Wiley & Sons, Incorporated, John, 2022.

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15

Understanding quantum mechanics: A realist interpretation without hidden variables. Almqvist & Wiksell International, 1992.

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16

Bottazzini, U. Hidden Harmony--Geometric Fantasies: The Rise of Complex Function Theory. Springer London, Limited, 2013.

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17

Bottazzini, U. Hidden Harmony―Geometric Fantasies: The Rise of Complex Function Theory. Springer, 2013.

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18

Bottazzini, U. Hidden Harmony―Geometric Fantasies: The Rise of Complex Function Theory. Springer, 2016.

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19

Belinfante, F. J., and D. Ter Haar. Survey of Hidden-Variables Theories: International Series of Monographs in Natural Philosophy. Elsevier Science & Technology Books, 2014.

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20

Santos, Dan. The Hidden Variables of the Atomic World: The New Quantum Field Theory. Dorrance Publishing, 2006.

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21

Johansson, Lars-Goran. Understanding Quantum Mechanics: A Realist Interpretation Without Hidden Variables (Stockholm Universitetet Acta). Coronet Books, 1993.

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22

Fried, Israel. Hidden Variables Theory: The Initial Values of the Fundamental Constants in Physics. Lulu Press, Inc., 2009.

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23

Taleb, Nassim. Fooled by Randomness: The Hidden Role of Chance in the Markets and Life. 2nd ed. Texere, 2004.

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24

Taleb, Nassim. Fooled by Randomness: The Hidden Role of Chance in Life and in the Markets. 2nd ed. Texere, 2004.

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25

Taleb, Nassim. Fooled by Randomness: The Hidden Role of Chance in Life and in the Markets. Penguin, 2007.

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26

Taleb, Nassim, and Sean Pratt. Fooled by Randomness: The Hidden Role of Chance in Life and in the Markets. Recorded Books, 2009.

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27

Taleb, Nassim, and Sean Pratt. Fooled by Randomness: The Hidden Role of Chance in Life and in the Markets. Gildan Media, 2008.

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28

Pehkonen, Erkki, Günter Törner, and G. C. Leder. Beliefs: A Hidden Variable in Mathematics Education? Springer London, Limited, 2006.

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29

Budroni, Costantino. Temporal Quantum Correlations and Hidden Variable Models. Springer, 2015.

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30

Budroni, Costantino. Temporal Quantum Correlations and Hidden Variable Models. Springer, 2015.

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31

Budroni, Costantino. Temporal Quantum Correlations and Hidden Variable Models. Springer, 2016.

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32

(Editor), G. C. Leder, Erkki Pehkonen (Editor), and Günter Törner (Editor), eds. Beliefs: A Hidden Variable in Mathematics Education? (Mathematics Education Library). Springer, 2003.

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33

(Editor), G. C. Leder, Erkki Pehkonen (Editor), and Günter Törner (Editor), eds. Beliefs: A Hidden Variable in Mathematics Education? (Mathematics Education Library). Springer, 2003.

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34

Levin, Frank S. Entanglement and the Elements of Reality. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198808275.003.0015.

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Chapter 14 examines entangled quantum systems, hidden variable theories and Bell’s inequality. In 1935, Einstein and collaborators, postulating the existence of elements of reality, analyzed an entangled system and concluded that quantum theory was incomplete. Their analysis is described using spin singlets, which are entangled states of two spin ½ particles. A possible avoidance of their conclusion is by using hidden variable theories. In analyzing a class of local hidden variable theories, John Bell derived an equality that could test them. This was done by experiments using entangled photon
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35

Bacciagaluppi, Guido. Quantum Probability. Edited by Alan Hájek and Christopher Hitchcock. Oxford University Press, 2017. http://dx.doi.org/10.1093/oxfordhb/9780199607617.013.25.

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The topic of probability in quantum mechanics is rather vast. In this chapter it is discussed from the perspective of whether and in what sense quantum mechanics requires a generalization of the usual (Kolmogorovian) concept of probability. The focus is on the case of finite-dimensional quantum mechanics (which is analogous to that of discrete probability spaces), partly for simplicity and partly for ease of generalization. While the main emphasis is on formal aspects of quantum probability (in particular the non-existence of joint distributions for incompatible observables), the discussion re
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36

Scarani, Valerio. Bell Nonlocality. Oxford University Press, 2019. http://dx.doi.org/10.1093/oso/9780198788416.001.0001.

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Nonlocality was discovered by John Bell in 1964, in the context of the debates about quantum theory, but is a phenomenon that can be studied in its own right. Its observation proves that measurements are not revealing pre-determined values, falsifying the idea of “local hidden variables” suggested by Einstein and others. One is then forced to make some radical choice: either nature is intrinsically statistical and individual events are unspeakable, or our familiar space-time cannot be the setting for the whole of physics. As phenomena, nonlocality and its consequences will have to be predicted
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37

Vigdor, Steven E. Randomness and Complexity. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198814825.003.0007.

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Chapter 7 describes the fundamental role of randomness in quantum mechanics, in generating the first biomolecules, and in biological evolution. Experiments testing the Einstein–Podolsky–Rosen paradox have demonstrated, via Bell’s inequalities, that no local hidden variable theory can provide a viable alternative to quantum mechanics, with its fundamental randomness built in. Randomness presumably plays an equally important role in the chemical assembly of a wide array of polymer molecules to be sampled for their ability to store genetic information and self-replicate, fueling the sort of abiog
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38

Milonni, Peter W. An Introduction to Quantum Optics and Quantum Fluctuations. Oxford University Press, 2019. http://dx.doi.org/10.1093/oso/9780199215614.001.0001.

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This book is an introduction to quantum optics for students who have studied electromagnetism and quantum mechanics at an advanced undergraduate or graduate level. It provides detailed expositions of theory with emphasis on general physical principles. Foundational topics in classical and quantum electrodynamics, including the semiclassical theory of atom-field interactions, the quantization of the electromagnetic field in dispersive and dissipative media, uncertainty relations, and spontaneous emission, are addressed in the first half of the book. The second half begins with a chapter on the
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39

Kenyon, Ian R. Quantum 20/20. Oxford University Press, 2019. http://dx.doi.org/10.1093/oso/9780198808350.001.0001.

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This text reviews fundametals and incorporates key themes of quantum physics. One theme contrasts boson condensation and fermion exclusivity. Bose–Einstein condensation is basic to superconductivity, superfluidity and gaseous BEC. Fermion exclusivity leads to compact stars and to atomic structure, and thence to the band structure of metals and semiconductors with applications in material science, modern optics and electronics. A second theme is that a wavefunction at a point, and in particular its phase is unique (ignoring a global phase change). If there are symmetries, conservation laws foll
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