# A symmetry hidden at the center of quantum mathematics causes a disconnect between quantum math and quantum mechanics

### Abstract

Although quantum mathematics is the most successful science ever, that does not mean we

live in the universe described by quantum mechanics. This article is entirely based on symmetry.

Two symmetrical universes could have exactly the same mathematics, but differ in other respects.

The motivation for seeking symmetry inside quantum mathematics is that the QM picture of nature

is bizarre. Richard Feynman says no one can understand it. We propose that the quantum world is

not bizarre. QM portrays the wrong universe: the symmetrical one, not the one we inhabit. If

quantum waves travel in the opposite direction as what is expected, then we would have the same

math but a different universe, one that is recognizable and familiar. Wave equations are

symmetrical with respect to time reversal. This means they are symmetrical with respect to wave

direction reversal (with time going forwards). This wave equation symmetry is the basis of the

symmetry of two models of the universe, only one of which is congruent with the universe we

inhabit.

### References

mechanism of radiation, Reviews of Modern Physics 17, #2-3, 157-181 (1945).

2. J. 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 (4), 5476-5493 (November, 2015).

http://cirworld.org/journals/index.php/jam/article/view/5502

3. J. H. Boyd, “A paradigm shift in mathematical physics, Part 3: A mirror image of

Feynman’s quantum electrodynamics (QED)," Journal of Advances in

Mathematics, 11 (2), 3977-3991 (August, 2015).

http://cirworld.com/journals/index.php/jam/article/view/4963

4. J. H. Boyd, “A paradigm shift in mathematical physics, Part 2: A new local

realism explains Bell test & other experiments,” Journal of Advances in

Mathematics, 10 (9), 3828-3839 (July 2015).

http://cirworld.com/journals/index.php/jam/article/view/4806

5. J. H. Boyd, “A paradigm shift in mathematical physics, Part 1: The Theory of

Elementary Waves (TEW),” Journal of Advances in Mathematics 10 (9), 3828-

3839 (June 2015). http://cirworld.com/journals/index.php/jam/article/view/4719

6. J. H. Boyd, “The Boyd Conjecture,” Journal of Advances in Physics 13 (4),

4830-4837 (April 2017). https://doi.org/10.24297/jap.v13i4.6038

7. J. H. Boyd, “The Theory of Elementary Waves eliminates Wave Particle

Duality,” Journal of Advances in Physics 7 (3), 1916-1922 (Feb 2015).

http://cirworld.org/journals/index.php/jap/article/view/228n

8. J. H. Boyd, “A new variety of local realism explains a Bell test experiment: the

Theory of Elementary Waves (TEW) with no hidden variables,” Journal of

Advances in Physics 8 (1), 2051-58 (Mar 2015).

http://cirworld.org/journals/index.php/jap/article/view/252na

9. J. 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, (3), 2774-2783 (Oct 2015).

http://cirworld.org/journals/index.php/jap/article/view/5116

10. J. H. Boyd, “Paul Dirac’s view of the Theory of Elementary Waves,” Journal of

Advances in Physics 13, (3), (March 2017).

DOI: https://doi.org/10.24297/jap.v13i3.5921

11. J. H. Boyd, "Rethinking a Wheeler delayed choice gedanken experiment,"

Physics Es

12. J. H. Boyd, "Re-thinking a delayed choice quantum eraser experiment: a simple

baseball model," Physics Essays, 26, No. 1, pp. 100-109, March 2013 (doi:

10.4006/0836-1398-26.1.100).

13. J. H. Boyd, "Re-thinking Alain Aspect's 1982 Bell test experiment with delayed

choice," Physics Essays, 26 (4) 582-591 (2013).

http://physicsessays.org/browse-journal-2/product/39-15-jeffrey-h-boydrethinking-

alain-aspect-s-1982-bell-test-experiment-with-delayed-choice.html

14. C. J. Davisson, "The diffraction of electrons by a crystal of nickel," Bell System

Technical Journal 7 (1): 90-105, (January 1928).

15. C. J. Davisson and L. Germer, "Reflection of electrons by a crystal of nickel"

Nature 119, 558-560 (1927).

16. H. Kaiser, R. Clothier, S. A. Werner, H. Rauch and H. Wölwitsch, "Coherence

and spectral filtering in neutron interferometry," Physical Review 45, 31-42

(1992).

17. O. Freire, Interview with Dr. Franco Selleri, American Institute of Physics: Oral

History Interviews. Accessed 3/21/2017 from: https://www.aip.org/historyprograms/

niels-bohr-library/oral-histories/28003-1

18. Jacques, V., E. Wu, F. Grosshans, F. Treussart, P. Grangier, A. Aspect, and

J.R. Roch, "Experimental realization of Wheeler's delayed-choice gedanken

experiment," Science 315, 966-968 (Feb. 16, 2007); DOI:

10.1126/science.1136303

19. Jacques, V., E. Wu, F. Grosshans, F. Treussart, P. Grangier, A. Aspect, and

J.R. Roch, "Supporting online materials for Experimental realization of

Wheeler's delayed-choice gedanken experiment,"

http://www.sciencemag.org/cgi/content/full/315/5814/966/DC1, accessed

September 17, 2011.

20. L. E. Little, "Theory of Elementary Waves,” Physics Essays B (1), 100-134

(1996).

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