Decrypting the Central Mystery of Quantum Mathematics:
Part 1. New Axioms Explain the Double Slit Experiment
This article proposes a solution to the double slit experiment of Quantum Mechanics. We attack the problem from a previously untried angle. Unsolved math problems must be attacked from unexpected angles because every conventional approach has already been tried and failed. Richard Feynman warned that the quantum world is such a strange place that humans can’t understand it. There is empirical evidence of particles following zero energy waves backwards, although that is counterintuitive. Schr˝odinger waves carry zero energy: they carry probability amplitudes instead. In our proposed model zero energy Schr˝odinger waves emanating from every point on the target screen pass backwards through the two slits, interfere at the particle gun, and a particle randomly chooses which wave to follow backwards. Once that decision is made the particle follows its wave with a probability of one, through only one slit (it doesn’t matter which slit) and inevitably strikes that point from which its wave emanates. This produces the same math and same pattern on the target screen. We propose three Axioms of the Theory of Elementary Waves (TEW) as a better platform for mathematics in this experiment than the Axioms of QM. This constitutes a paradigm shift.
Thomas Young. The Bakerian Lecture: On the Theory of Light and Colours. In Philosophical Transactions of the Royal Society of London, 92, 12-48, 1802.
Richard Feynman. Quantum Mechanics. In The Feynman Lectures on Physics, vol. 3, New York, Basic Books, 1989. see 1-1, “Quantum Behavior”, ISBN-13 978-0465023820. ISBN-10 0465023827.
Ian Stewart. Significant Figures: the lives and works of great mathematicians. Hachette Book Group, 2017.
Lewis E. Little. Theory of Elementary Waves. Physics Essays 9, 100-134, 1996.
Lewis E. Little. Theory of Elementary Waves. Lecture at the Jet Propulsion Labs in 2000. https://www.youtube.com/watch?v = 39LB0RzgWg (access date Oct 4, 2019).
Lewis E. Little. Theory of Elementary Waves. New Classics Library, New York, 2009.
Jeffrey H. Boyd. A symmetry hidden at the center of quantum mathematics causes a disconnect between quantum math and quantum mechanics. Journal of Advances in Mathematics, 13, 7379-86, 2017. DOI: 10.24297/jam.v13i4.6413.
Jeffrey H. Boyd. A paradigm shift in mathematical physics, Part 4: Quantum computers and the local realism of all 4 Bell states. Journal of Advances in Mathematics, 11, 5476-5493, 2015. http://cirworld.org/journals/index.php/jam/article/view/5502.
Jeffrey H. Boyd. A paradigm shift in mathematical physics, Part 3: A mirror image of Feyn- man’s quantum electrodynamics (QED. Journal of Advances in Mathematics, 11, 3977-3991, 2015. http://cirworld.com/journals/index.php/jam/article/view/4963.
Jeffrey H. Boyd. A paradigm shift in mathematical physics, Part 2: A new local realism ex- plains Bell test & other experiments. Journal of Advances in Mathematics, 10, 3828-3839, 2015. http://cirworld.com/journals/index.php/jam/article/view/4806.
Jeffrey H. Boyd. A paradigm shift in mathematical physics, Part 1: The Theory of Elementary Waves (TEW). Journal of Advances in Mathematics 10, 3828-3839, 2015. http://cirworld.com/journals/index.php/jam/article/view/4719.
JeffreyH.Boyd.ThevonNeumannanddoubleslitparadoxesleadtoanewSchro ̋dingerwavemathematics.Journal of Advances in Physics 14, 5812-5834, 2018. https://elementarywave.com/wp-content/uploads/2019/01/Boyd-JAP- 7-Von-Neumann-Schdinger-math-2018-corrected.pdf
Jeffrey H. Boyd. The quantum world is astonishingly similar to our world: The timing of wave function collapse according to the Theory of Elementary Waves. Journal of Advances in Physics 14, 5598-5610. DOI: 10.24297/jap.v14i2.7555.
Jeffrey H. Boyd. Paul Dirac’s view of the Theory of Elementary Waves. Journal of Advances in Physics 13, 4731-4734, (March 2017). DOI: https://doi.org/10.24297/jap.v13i3.5921
Jeffrey H. Boyd. The Theory of Elementary Waves eliminates Wave Particle Duality. Journal of Advances in Physics 7, 1916-1922 (Feb 2015). http://cirworld.org/journals/index.php/jap/article/view/228n.
Jeffrey H. Boyd. A new variety of local realism explains a Bell test experiment: the Theory of Elemen- tary Waves (TEW) with no hidden variables’. Journal of Advances in Physics 8, 2051-58 (Mar 2015). http://cirworld.org/journals/index.php/jap/article/view/252na.
Jeffrey H. Boyd. A proposed physical analog of a quantum amplitude: Corkscrew model from the Theory of Elementary Waves (TEW). Journal of Advances in Physics 10, 2774-2783 (Oct 2015). http://cirworld.org/journals/index.php/jap/article/view/5116.
Jeffrey H. Boyd. The Boyd Conjecture. Journal of Advances in Physics 13, 4830-37 (April 2017). https://doi.org/10.24297/jap.v13i4.6038.
Jeffrey H. Boyd. Rethinking a Wheeler delayed choice gedanken experiment. Physics Essays 25, 390-396, 2012. http://dx.doi.org/10.4006/0836-1398-25.3.390.
Jeffrey H. Boyd. Re-thinking a delayed choice quantum eraser experiment: a simple baseball model. Physics Essays, 26, 100-109, 2013 (doi: 10.4006/0836-1398-26.1.100).
Jeffrey H. Boyd. Re-thinking Alain Aspect’s 1982 Bell test experiment with delayed choice. Physics Essays, 26, 582-591, 2013. http://physicsessays.org/browse-journal-2/product/39-15-jeffrey-h-boyd-rethinking-alain-aspect- s-1982-bell-test-experiment-with-delayed-choice.html.
Jim Baggott. The Quantum Story, Oxford University Press, 2011.
Adam Becker. What Is Real? Basic Books, 2018.
John von Neumann. Mathematical Foundations of Quantum Mechanics, translated by Robert T. Beyer, Princeton NJ: Princeton University Press, c1955.26
shinzon0. Quantum simulation double slit experiment. https://www.youtube.com/watch?v=jHyO0A7C86E&t=6s (accessdate = Apr 28, 2019).
Olival Freire. Interview with Dr. Franco Selleri. American Institute of Physics: Oral History Interviews. https://www.aip.org/history-programs/niels-bohr-library/oral-histories/28003-1. and https://www.aip.org/history- programs/niels-bohr-library/oral-histories/28003-2. (accessed July 15, 2019)
John S. Bell. On the Einstein Podolsky Rosen paradox. Physics 1, 195-200, 1964.
John F. Clauser, Michael A. Horne, Abner Shimony and Richard A. Holt (CHSH). Proposed experiment to test
local hidden-variable theories. Physical Review Letters 23, 880-884, 1969.
N. David Mermin. Is the moon there when nobody looks? Reality and the quantum theory. Physics Today, 38,
-47 (April 1985).
Thomas. Kuhn. The Structure of Scientific Revolutions (Chicago: U. of Chicago Press, 1970. ISBN 978-0-226- 45803-8.
Norman Macrae. John von Neumann. New York: Pantheon Books, 1992
Hendrik A. Lorentz. Michelson’s interference Experiment. In H. A. Lorentz, A. Einstein, H. Minkowski, and H.
Weyl, The Principle of Relativity (New York:Dover 1952), pp. 3-7.
Helmut Kaiser, Russell Clothier, Samuel Werner, Helmut Rauch, and H. Wo ̋lwitsch. Coherence and spectral
filtering in neutron interferometry. Physical Review 45, 31-42, 1992.
Edward M. Purcell. Physical Review, 69, 681, 1946. https://doi.org/10.1103/PhysRev.69.674
G. Goy, J. M. Raimond, M. Gross, and S. Haroche. Observation of cavity enhanced single-atom spontaneous emission. Physical Review Letters, 50, 1903-1906, 1983.
S. Haroche and D. Kleppner. Cavity Quantum Electrodynamics. Physics Today, 42, 24-30, 1989.
R. G. Hulet, E.S. Hilfer, and D. Kleppner Inhibited spontaneous emission by a Rydberg atom. Physical Review
Letters, 55, 2137-2140, 1985.
David J. Bohm. Quantum Theory, Prentice-Hall, Englewood Cliffs NJ, 1951.
J. A. Wheeler and R. P. Feynman. Interaction with the absorber as the mechanism of radiation. Reviews of Modern Physics 17, 157-181, 1945.
John G. Cramer. An overview of the transactional interpretation. International Journal of Theoretical Physics 27, 227, 1988.
Ruth E. Kastner. Tranasctional Interpretation of Quantum Mechanics, Cambridge University Press, 2013.
Ruth E. Kastner. de Broglie waves as the bridge of becoming between quantum theory and relativity. Foundations
of Science 18, 1-9 2013 (doi:10.1007/s10699-011-9273-4).
John G. Cramer. Faster-than-light implications of quantum entanglement and nonlocality. In Marc G. Millis and
Eric W. Davis (Editors), Frontiers of Propulsion Science, AIAA (American Institute of Aeronautics and Ast), 2009.
Richard P. Feynman. QED, Oxford University Press and Princeton U. Press, 1985.
Kahn Academy. Introduction to Hilbert Spaces (accessed 4/15/2019) on YouTube
David Hilbert, L. Nordheim, and John von Neumann. Uber die Grundlagen der Quantenmechanik. Mathematische Annalen, 98, 1-30, 1927.
John von Neumann. Allgemiene Eigenwerttheorie Hermitescher Funktionaloperatoren. Mathematische Annalen, 102, 49-131, 1929.
Ramamurti Shankar. Quantum Mechanics VI: Time-dependent Schro ̋dinger equation. https://www.youtube.com/watch?v=Iy6RspNw80E&t=2290s (accessed June 13, 2019).
R. L. Jaffe. Physics 8.05, Supplementary notes on Dirac notation, quantum states, etc. (1996). http://web.mit.edu/8.05/handouts/jaffe1.pdf. (accessed May 10, 2019)
Copyright (c) 2019 Jeffrey Boyd
This work is licensed under a Creative Commons Attribution 4.0 International License.
The author warrants that the article is original, written by stated author(s), has not been published before, contains no unlawful statements, does not infringe the rights of others, is subject to copyright that is vested exclusively in the author and free of any third party rights, and that any necessary written permissions to quote from other sources have been obtained by the author(s).