Foundations of Quantum Theory: From Classical Concepts to Operator Algebras
(Springer Open Access)

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The Challenge of Chance (Springer Open Access)

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pdf]

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9. A gauge-independent coupling constant in thermal QCD, Physics Letters B232,
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10. C*-algebraic quantization and the origin of topological quantum effects, Letters
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12. Quantization and superselection sectors II. Dirac Monopole and Aharonov-Bohm
effect, Reviews in Mathematical Physics 2, 73-104 (1990).

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Hist. Phil. Mod. Phys. 27, 511-525 (1996)

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32. Against the Wheeler-DeWitt equation,
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34. Poisson spaces with a transition probability,
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35. Simple new axioms for quantum mechanics, Proc. Quantum
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38. Quantum Mechanics on Phase Space, Stud.
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39. Constrained
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48.
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49. Quantized reduction as a tensor product,
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50. Bicategories of operator algebras and Poisson manifolds,
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51. The Muhly-Renault-Williams theorem for Lie groupoids and
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52. Operator algebras and
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55. Quantization and the tangent groupoid, Proc Constanta 2001

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56. Deformation quantization and the Baum-Connes conjecture,
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57. Functorial quantization and the Guillemin-Sternberg conjecture,
Twenty Years of Bialowieza (2005)

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58. Quantum mechanics and representation theory: the new synthesis, Acta
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59. Lie groups and Lie algebroids in physics and noncommutative geometry.
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60. When champions meet: Rethinking the Bohr-Einstein debate.
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[ DOI ]

61. Between classical and quantum, Handbook of the Philosophy of Science
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62. The Guillemin-Sternberg conjecture for noncompact groups and spaces
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63. Entries in the Compendium of Quantum Physics, Eds. D. Greenberger, K. Hentschel, and
F. Weinert (Springer, 2009):

[Algebraic quantum mechanics, pp. 6-9]

[The Born rule and its interpretation, pp. 64-70]

[Quantization (systematic), pp. 510-513]

[Quasi-classical limit, pp. 626-629]

64. The principle of general tovariance (with C. Heunen and B. Spitters), Geometry and Physics, Proc. XVI Int. Fall Workshop, Lisbon 2007, pp. 93-102

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65. A topos for algebraic quantum theory (with C. Heunen and B. Spitters), Commun. Math. Phys. 291, 63-110 (2009)

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66. Macroscopic observables and the Born rule, Rev. Math. Phys. 20, 1173-1190 (2008)

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67. Intuitionistic quantum logic of an n-level system (with M. Caspers, C. Heunen and B. Spitters), Found. Phys. 39, 731-759 (2009)

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68. The Bohrification of operator algebras and quantum logic (with C. Heunen and B. Spitters), Synthese 186, 719-752 (2012)

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69. Bohrification (with C. Heunen and B. Spitters), in "Deep Beauty" (ed. H. Halvorson)

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70. The Gelfand spectrum of a noncommutative C*-algebra: a topos-theoretic approach
(with C. Heunen, B. Spitters, and S. Wolters), J. Australian Math. Soc.90, 32-59 (2011)

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71. A Flea on Schroedinger's Cat (with R. Reuvers), Found. Phys. 43, 373-407 (2013)

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72. Quantization and superselection sectors III: Multiply connected spaces and indistinguishable particles, Rev. Math. Phys.
28, 1650019 (2016)

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73. Spontaneous symmetry breaking in quantum systems: Emergence or reduction?, Stud. Hist. Phil. Mod. Phys. 44, 379-394 (2013)

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74. Constraints on determinism: Bell versus Conway & Kochen (with E. Cator), Found. Phys. 44, 781-791 (2014)

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75. The Fine-Tuning Argument, in The Challenge of Chance, eds. Klaas Landsman and Ellen van Wolde (Springer, 2016)

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76. A bounded transform approach to self-adjoint operators: Functional calculus and affiliated von Neumann algebras (with C. Budde),
Annals of Functional Analysis 7, 411-420 (2016)

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77. Quantisation commutes with singular reduction: cotangent bundles of compact Lie groups (wit J. Boeijink and W. van Suijlekom),
Rev. Math. Phys. 31, 1950016 (2019)

[preprint]
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78. On the notion of free will in the Free Will Theorem, SHPMP 57, 98-103 (2017)

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79. On the Colbeck-Renner Theorem, J. Math. Phys. 56, 122103 (2015)

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publication

80. Bohrification: From classical concepts to commutative algebras, in: Niels Bohr in the 21st Century, eds. J. Faye, J. Folse

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81. The Kadison-Singer conjecture (with M. Stevens), Nieuw Archief voor Wiskunde 17, 41-46 (2016)

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82. Symmetries in exact Bohrification (with A.J. Lindenhovius), Realtity and Measurement in Algebraic Quantum Theory, eds. J. Butterfield, H. Halvorson, M. Redei, Y. Kitajima,
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83. The logic of quantum mechanics (revisited), New Spaces in Mathematics and Physics: Formal and Philosophical Reflections, eds. M. Anel and G. Catren, pp. 85-112 (Cambridge University Press, 2021),

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84. Quantum spin systems versus Schroedinger operators: A case study in spontaneous symmetry breaking (with
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[preprint]
[journal]

85. Randomness? What Randomness? Foundations of Physics 50, 61-104 (2020)

[preprint] [journal]

86. Strict deformation quantization of the state space of M_k(C)with applications to the Curie--Weiss model (with V. Moretti and C.J.F. van de Ven), Rev. Math. Phys. 32, 2050031 (2020)

[preprint] [journal]

87. The axiomatization of quantum theory through functional analysis: Hilbert, von Neumann, and beyond. Oxford Handbook of the History of Interpretations and Foundations of Quantum Mechanics, ed. O. Freire, pp. 473-494. (Oxford University Press, 2021).

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88. (No) Wigner Theorem for C*-algebras (with K. Rang),
Rev. Math. Phys. 32, 2050019 (2020),

[preprint]
[journal]

89. Indeterminism and undecidability, co-winner, FQXi Essay Contest 2019-2020 on Undecidability, Uncomputability, and Unpredictability

[essay] [essay contest winners] extended version, published in Undecidability, Uncomputability, and Unpredictability, eds. A. Aguirre, Z. Merali, D. Sloan, pp. 17-46 (Springer, 2021)

90. Singularities, black holes, and cosmic censorship: A tribute to Roger Penrose. Foundations of
Physics 51:42 (2021).

Open Access

91. Bohmian mechanics is not deterministic. Foundations of Physics 52:73 (2022)

Open Access

92. Reopening the Hole Argument, submitted to Philosophy of Physics.

preprint

93. Penrose's 1965 singularity theorem: From geodesic incompleteness to cosmic censorship, to appear in General Relativity and Gravitation, General Relativity and Gravitation 54:115 (2022).

preprint Open Access

94. Zwarte gaten en het werk van Roger Penrose (Black holes and the work of Roger Penrose), Nieuw Archief voor Wiskunde, september 2022, pp. 167-174.

[journal]

95. Typical = Random, Axioms 12(8), 727 (2023).

preprint
Open Access