Quantum theory as a description of robust experiments: Derivation of the Pauli equation

Cox, 1946, Amer. J. Phys., 14, 1, 10.1119/1.1990764 Cox, 1961 Tribus, 1999 Smith, 1989, 29 Jaynes, 2003 Jaynes, 1957, Phys. Rev., 106, 620, 10.1103/PhysRev.106.620 Jaynes, 1957, Phys. Rev., 108, 171, 10.1103/PhysRev.108.171 De Raedt, 2014, Ann. Phys., 347, 45, 10.1016/j.aop.2014.04.021 van der Waerden, 1960 Pauli, 1924, Z. Phys., 31, 373, 10.1007/BF02980592 Pauli, 1927, Z. Phys., 43, 601, 10.1007/BF01397326 Bohm, 1955, Nuovo Cimento Series, 10, 48, 10.1007/BF02743528 Takabayasi, 1955, Progr. Theoret. Phys., 14, 232, 10.1143/PTP.14.283 Batelaan, 1997, Phys. Rev. Lett., 79, 4517, 10.1103/PhysRevLett.79.4517 Sherwood, 1954, Phys. Rev., 96, 1546, 10.1103/PhysRev.96.1546 Griffiths, 1987 Heisenberg, 1932, Z. Phys., 77, 1, 10.1007/BF01342433 Katsnelson, 2012 Khrennikov, 2014 ’t Hooft, 1997, Found. Phys. Lett., 10, 105, 10.1007/BF02764232 De Raedt, 2005, Comp. Phys. Comm., 171, 19, 10.1016/j.cpc.2005.04.012 ’t Hooft, 2007, 3 Michielsen, 2011, J. Comput. Theor. Nanosci., 8, 1052, 10.1166/jctn.2011.1783 De Raedt, 2012, Ann. Phys. (Berlin), 524, 393, 10.1002/andp.201100299 De Raedt, 2012, Quantum Matter, 1, 1, 10.1166/qm.2012.1003 De Raedt, 2014, Front. Phys., 2, 10.3389/fphy.2014.00014 Michielsen, 2014, Internat. J. Modern Phys. C, 25, 01430003, 10.1142/S0129183114300036 Website, For additional information see, http://en.wikipedia.org/wiki/Robust_optimization. Ballentine, 2003 J.P. Ralston, Emergent mechanics, quantum and un-quantum, in: Proc. SPIE 8832, 88320W1–25, 2013. Wallace, 1947, Phys. Rev., 71, 622, 10.1103/PhysRev.71.622 Creutz, 2008, J. High Energy Phys., 0804, 17, 10.1088/1126-6708/2008/04/017 Volovik, 2010, JETP Lett., 90, 697, 10.1134/S0021364009230027 J.P. Ralston, Revising your world-view of the fundamental constants, in: Proc. SPIE 8832, 883216–1–16, 2013. Madelung, 1927, Z. Phys., 40, 322, 10.1007/BF01400372 Wallstrom, 1994, Phys. Rev. A, 49, 1613, 10.1103/PhysRevA.49.1613 Volovik, 2009, 350 Novikov, 1982, Uspekhi Mat. Nauk., 37, 3 Gerlach, 1922, Z. Phys., 9, 349, 10.1007/BF01326983 Bohm, 1952, Phys. Rev., 85, 166, 10.1103/PhysRev.85.166 Takabayasi, 1952, Progr. Theoret. Phys., 8, 143, 10.1143/ptp/8.2.143 Takabayasi, 1954, Progr. Theoret. Phys., 2, 810, 10.1143/PTP.12.810 Bohm, 1955, Nuovo Cimento Series 10, 1, 67, 10.1007/BF02743529 Schiller, 1962, Phys. Rev., 125, 1116, 10.1103/PhysRev.125.1116 Reginatto, 1998, Phys. Lett. A, 249, 355, 10.1016/S0375-9601(98)00773-7 H. De Raedt, M.I. Katsnelson, K. Michielsen, Quantum theory as the most robust description of reproducible experiments: application to a rigid linear rotator, in: Proc. SPIE 8832, 883212–1–11, 2013. Allahverdyan, 2013, Phys. Rep., 525, 1, 10.1016/j.physrep.2012.11.001 Pólya, 1954 Keynes, 1921 Feller, 1968 Grimmet, 1995