Aharonov Dorit 2003 A simple proof that Toffoli and Hadamard are quantum universal, arXiv preprint quant-ph/0301040. Antippa Adel F and Dubois Daniel M 2004 “Anticipation, Orbital Stability, and Energy Conservation in Discrete Harmonic Oscillators” Computing Anticipatory Systems: Conf. Proc. of CASYS’03–Sixth Int. Conf. (11-16August 2003 Liege Belgium) ed D M Dubois (Melville, New York: American Institute of Physics) AIP CP 718 pp 3–44.
Antippa Adel F and Dubois Daniel M 2006a “The Dual Incursive System of the Discrete Harmonic Oscillator” Computing Anticipatory Systems: Conf. Proc. of CASYS’05–Seventh Int. Conf. (8-13 August 2005 Liege Belgium) ed D M Dubois (Melville, New York: American Institute of Physics) AIP CP 839 pp 11–64.
Antippa Adel F and Dubois Daniel M 2006b “The Superposed Hyperincursive System of the Discrete Harmonic Oscillator” Computing Anticipatory Systems: Conf. Proc. of CASYS’05–Seventh Int. Conf. (8-13 August 2005 Liege Belgium) ed D M Dubois (Melville, New York: American Institute of Physics) AIP CP 839 pp. 65–126.
Antippa Adel F and Dubois Daniel M 2007 “Incursive Discretization, System Bifurcation, and Energy Conservation” Journal of Mathematical Physics 481 (012701).
Antippa Adel F and Dubois Daniel M 2008a “Hyperincursive Discrete Harmonic Oscillator” Journal of Mathematical Physics 493 (032701).
Antippa Adel F and Dubois Daniel M 2008b “Synchronous Discrete Harmonic Oscillator” Computing Anticipatory Systems: Conf. Proc. Of CASYS’07–Eighth Int. Conf. (6-11 August 2007 Liege Belgium) ed D M Dubois (Melville, New York: American Institute of Physics) AIP CP 1051 pp 82–99.
Antippa Adel F and Dubois Daniel M 2010a “Discrete Harmonic Oscillator: A Short Compendium of Formulas” Computing Anticipatory Systems: Conf. Proc. of CASYS’09–Ninth Int. Conf. (3-8 August 2009 Liege Belgium) ed D M Dubois (Melville, New York: American Institute of Physics) AIP CP 1303 pp 111–120.
Antippa Adel F and Dubois Daniel M 2010b “Time-Symmetric Discretization of The Harmonic Oscillator” Computing Anticipatory Systems: Conf. Proc. of CASYS’09–Ninth Int. Conf. (3-8 August 2009 Liege Belgium) ed D M Dubois (Melville, New York: American Institute of Physics) AIP CP 1303 pp 121–125.
Antippa Adel F and Dubois Daniel M 2010c “Discrete Harmonic Oscillator: Evolution of Notation and Cumulative Erratum” Computing Anticipatory Systems: Conf. Proc. of CASYS’09–Ninth Int. Conf. (3-8 August 2009 Liege Belgium) ed D M Dubois (Melville, New York: American Institute of Physics) AIP CP 1303 pp 126–130.
Dirac P A M 1928 “The Quantum Theory of the Electron” Proc of the Royal Society A Mathematical, Physical and Engineering Sciences Vol 117 No. 778 pp 610-624.
Dirac P A M 1964 Lectures on Quantum Mechanics (New York: Academic Press).
Dubois Daniel M 1995 “Total Incursive Control of Linear, Non-linear and Chaotic Systems” Advances in Computer Cybernetics ed G E Lasker (Canada: The International Institute for Advanced Studies in Systems Research and Cybernetics) Volume 2 pp 167-171 ISBN 0921836236.
Dubois Daniel M 2016 “Hyperincursive Algorithms of Classical Harmonic Oscillator Applied to Quantum Harmonic Oscillator Separable Into Incursive Oscillators” Unified Field Mechanics, Natural Science Beyond the Veil of Spacetime: Proc. of the IXth Symp Honoring Noted French Mathematical Physicist Jean-Pierre Vigier (16-19 november 2014 Baltimore USA) Ed R L Amoroso, L H Kauffman et al. (Singapore: World Scientific) pp 55-65.
Dubois Daniel M 2018 “Unified Discrete Mechanics: Bifurcation of Hyperincursive Discrete Harmonic Oscillator, Schrödinger’s Quantum Oscillator, Klein-Gordon’s Equation and Dirac’s Quantum Relativist Equations” Unified Field Mechanics II, Formulations and Empirical Tests: Proc. of the Xth Symp Honoring Noted French Mathematical Physicist Jean-Pierre Vigier (25-28 July 2016 Porto Novo Italy) Ed R L Amoroso, L H Kauffman et al. (Singapore: World Scientific) pp 158-177.
Dubois Daniel M 2019a “Unified discrete mechanics II: The space and time symmetric hyperincursive discrete Klein-Gordon equation bifurcates to the 4 incursive discrete Majorana real 4-spinors equations” Journal of Physics: Conf. Ser. 1251 012001, open access; https://iopscience.iop.org/article/10.1088/1742-6596/1251/1/012001.
Dubois Daniel M 2019b “Unified discrete mechanics III: The hyperincursive discrete Klein-Gordon equation bifurcates to the 4 incursive discrete Majorana and Dirac equations and to the 16 Proca equations” Journal of Physics: Conf. Ser. 1251 012002, open access, https://iopscience.iop.org/article/10.1088/1742-6596/1251/1/012002.
Dubois Daniel M 2019c “Rotation of the Two Incursive Discrete Harmonic Oscillators to Recursive Discrete Harmonic Oscillators with the Hadamard Matrix,” Proc. of the Symp. on Causal and Anticipative Systems in Living Science, Biophysics, Relativistic Quantum Mechanics, Relativity: Held as part of the 31st Int. Conf. on Systems Research, Informatics and Cybernetics (July 29-August 2, 2019 Baden-Baden Germany) Ed D M Dubois and G E Lasker (IIAS) Volume 1 pp 7-12 ISBN 978-1-897546-41-3.
Dubois Daniel M 2019d “Rotation of the Relativistic Quantum Majorana Equation with the Hadamard Matrix and Unitary Matrix U” Proc. of the Symp. on Causal and Anticipative Systems in Living Science, Biophysics, Relativistic Quantum Mechanics, Relativity: Held as part of the 31st Int. Conf. on Systems Research, Informatics and Cybernetics (July 29-August 2, 2019 Baden-Baden Germany) Ed D M Dubois and G E Lasker (IIAS) Volume 1 pp 13-18 ISBN 978-1-897546-41-3.
Dubois Daniel M 2019e “Relations between the Majorana and Dirac Quantum Equations” Proc. of the Symp. on Causal and Anticipative Systems in Living Science, Biophysics, Relativistic Quantum Mechanics, Relativity: Held as part of the 31st Int. Conf. on Systems Research, Informatics and Cybernetics (July 29-August 2, 2019 Baden-Baden Germany) Ed D M Dubois and G E Lasker (IIAS) Volume 1 pp 19-24 ISBN 978-1-897546-41-3.
Dubois Daniel M 2019f “Review of the time-symmetric hyperincursive discrete harmonic oscillator separable into two incursive harmonic oscillators with the conservation of the constant of motion” Journal of Physics: Conf. Series 1251 012013 - doi:10.1088/1742-6596/1251/1/012013, article online open access - https://iopscience.iop.org/article/10.1088/1742-6596/1251/1/012013.
Gordon Walter 1926 “Der Comptoneffekt nach Schrödingerschen Theorie” “The Compton effect according to Schrödinger's theory”. Zeitschrift für Physik 40 p 117.
Klein Oskar 1926 “Quantentheorie und fünfdimensionale Relativitätstheorie” [“Quantum theory and five-dimensional relativity theory”] Zeitschrift für Physik 37 p 895.
Lamata L, Casanova J, Egusquiza I L, and Solano E, 2012 “The nonrelativistic limit of the Majorana equation and its simulation in trapped ions” Physica Scripta, Volume 2012, T147 arXiv:1109.0957v2 (quant-ph). https://doi.org/10.1088/0031-8949/2012/T147/014017.
Majorana Ettore 1937 “Teoria simmetrica dell’elettrone e del positrone” [“Teoria simmetrica dell’elettrone e del positrone”] Il Nuovo Cimento, 14 p 171.
Palash B Pal, 2011 “Dirac, Majorana and Weyl fermions” American Journal of Physics, 79 485 arXiv: 1006.1718v2. (hep-ph), https://doi.org/10.1119/1.3549729.
Pessa Eliano 2006 “The Majorana Oscillator” Electronic Journal of Theoretical Physics EJTP 3 10 pp 285-292.
Proca Al 1930 “Sur l’équation de Dirac” J. Phys. Radium 1 (7) pp 235-248.
Proca Al 1932 “Quelques observations concernant un article “sur l’équation de Dirac” J. Phys. Radium, 3 (4) pp 172-184.
