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Conventional quantum mechanics with a complex Hilbert space and the Born Rule is derived from five axioms describing properties of probability distributions for the outcome of measurements.
W. Sierpinski, “Introduction to General Topology”, U. Toronto Press (1934)
1934
Earlier work this paper cites.
G.D. Birkhoff and J. von Neumann, Ann. Math. 37
1936
Earlier work this paper cites.
J. von Neumann, “Mathematical Foundations of Quantum Mechanics”, Princeton University Press, (1955) p. 365
1955
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A.M. Gleason, J. Math. & Mech. 6
1957
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B. Mielnik, Commun. Math. Phys. 15
1969
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R.J. Bumcrot, “Modern Projective Geometry”, Holt, Reinhart, Winston, Inc. p.23 (1969)
1969
Cited alongside, same era.
S. Sykora, Journal of Statistical Physics, Vol.11, No.1, pp 17-27 (1974)
1974
Cited alongside, same era.
W. Wootters, Foundations of Physics 20, 1365 (1990)
1990
Cited alongside, same era.
L. Hardy arXiv:“Quantum Theory From Five Reasonable Axionms” quant-ph/0101012v4
Cited in the paper.
D.I. Fivel, Phys. Rev. Lett. 67
1991
Later among the works it cites.
1994
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A. Stotland, A. Pomeransky, E. Bachmat, and D. Cohen Europhysics letters, Vol. 67, pp. 700–706, 2004, arXiv:quant-ph/0401021v2
2004
Later among the works it cites.
Christof Teuscher & Douglas Hofstadter (2004). “ Alan Turing: Life and Legacy of a Great Thinker. Springer.” p. 54. ISBN 3540200207
2004
Later among the works it cites.
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