Abstract
Henri Poincaré, one of the pioneers of relativity theory predicted that, for the sake of simplicity, physicists would never abandon Euclidean geometry. It is argued here that chemical theory has stagnated for the same reason. It is pointed out how a fresh approach in four-dimensional non-Euclidean space-time could eliminate most of the conceptual stumbling blocks that inhibit the growth of a non-classical theory for chemistry. Immediately foreseen benefits include an understanding of four-dimensional action, recognized as the spin function, to replace the unrealistic concept of orbital angular momentum associated with standing electron waves. The controversial issues of non-local interaction and the discrepancy with relativity resolve themselves, giving new meaning to the concept of quantum potential energy. Without the debilitating assumption of point particles problematical issues such as the exclusion principle, wave-particle duality, quantum probability, the measurement problem, uncertainty principle, molecular shape and the mysterious fine-structure constant, also disappear. An alternative wave model is introduced and shown to be consistent with elemental periodicity as it occurs in projective space-time, which is briefly discussed.
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Notes
- 1.
Have you noticed that Bohm believes (as de Broglie did, by the way, 25 years ago) that he is able to interpret the quantum theory in deterministic terms? That way seems too cheap to me.
- 2.
No pun intended.
- 3.
That the Old One does not play dice,
References
Minkowski, H.: Space and time, in [2, pp. 73–91]
Lorentz, H.A., Einstein, A., Minkowski, H., Weyl, H.: The Principle of Relativity. A Collection of Original Memoirs on the Special and General Theory of Relativity, translated by W. Perrett and G.B. Jeffery. Dover, New York (1952)
Schrödinger, E.: The continuous transition from micro- to macro-mechanics. Naturwissenschaften 28, 664–666 (1926)
Schrödinger, E.: What is an elementary particle? Endeavour 109–116 (July 1950)
Schrödinger, E.: Are there quantum jumps? Br. J. Philos. Sci. 3, 109–123 (1952)
Casimir, H.B.G.: Haphazard Reality. Harper & Row, New York (1983). Appendix A
Dirac, P.A.M.: The quantum theory of the electron. Proc. R. Soc. A 117, 610–624 (1928)
von Neumann, J.: Mathematische Grundlagen der Quanten-mechanik. Springer, Berlin (1932). English translation: The Mathematical Foundations of Quantum Mechanics, Princeton University Press (1955)
Boeyens, J.C.A.: Chemical Cosmology. www.springer.com (2010)
Wheeler, J.A., Feynman, R.P.: Interaction with the absorber as the mechanism of radiation. Rev. Mod. Phys. 17, 157–181 (1945)
Schrödinger, E.: Über eine bemerkenswerte Eigenschaft eines einzelnen Elektrons. Z. Phys. 12, 13–23 (1922)
Veblen, O.: Projektive Relativitätstheorie. Springer, Berlin (1933). English translation in [9]
Holland, P.: Quantum Theory of Motion. Cambridge University Press, Cambridge (1993)
Primas, H., Müller-Herold, U.: Elementare Quantenchemie. Teubner, Stuttgart (1984)
Boeyens, J.C.A.: Chemistry in four dimensions. Struct. Bond. 148, 25–47 (2013)
Boeyens, J.C.A.: New Theories for Chemistry. Elsevier, Amsterdam (2003)
Einstein, A., Podolsky, B., Rosen, N.: Can quantum-mechanical description of physical reality be considered complete? Phys. Rev. 47, 777–780 (1935)
Bohr, N.: Can quantum-mechanical description of physical reality be considered complete? Phys. Rev. 48, 696–702 (1935)
Herbert, N.: Quantum Reality. Rider, London (1985)
Bell, J.S.: On the Einstein, Podolsky and Rosen paradox. Physics 1, 195–200 (1964)
Dewdney, C., Holland, P.R., Kyprianidis, A., Vigier, J.P.: Spin and non-locality in quantum mechanics. Nature 336, 536–544 (1988)
Goldstein, H.: Classical Mechanics, 2nd edn., p. 301. Addison-Wesley, Reading (1980)
Bohm, D.: A suggested interpretation of the quantum theory in terms of “hidden” variables. I. Phys. Rev. 85, 166–179 (1952)
Bohm, D.: A suggested interpretation of the quantum theory in terms of “hidden” variables. II. Phys. Rev. 85, 180–193 (1952)
Born, M.: Albert Einstein Max Born Brief Wechsel, p. 252. Nyphenburge, München (1969)
Madelung, E.: Quantentheorie in hydrodynamischer Form. Z. Phys. 40, 322–326 (1926)
Bohm, D., Hiley, B.J.: The Undivided Universe. Routledge, London (1993)
Boeyens, J.C.A.: Chemistry from First Principles. www.springer.com (2008)
Boeyens, J.C.A.: The periodic electronegativity table. Z. Naturforsch. 63b, 199–209 (2008)
Primas, H.: Chemistry, Quantum Mechanics and Reductionism, 2nd edn. Springer, Berlin (1983)
Synge, J.L.: The gravitational field of a particle. Proc. R. Ir. Acad. A 53, 83–114 (1950)
Einstein, A.: Kosmologische Betrachtungen zur allgemeinen Relativitätstheorie. Sitz.ber. Preuss. Akad. Wiss. 142–148 (1917)
de Sitter, W.: On the relativity of inertia. Remarks concerning EINSTEIN’s latest hypothesis. Proc. Kon. Acad. Wet. Amst. 19, 1217–1225 (1917)
Stillwell, J.: Geometry of Surfaces, p. 64. Springer, New York (1992)
Boeyens, J.C.A., Levendis, D.C.: Number Theory and the Periodicity of Matter. www.springer.com (2008)
Boeyens, J.C.A.: The geometry of quantum events. Specul. Sci. Technol. 15, 192–210 (1992)
Kaluza, Th.: Zum Unitätsproblem der Physik. Sitz.ber. Preuss. Akad. Wiss. 966–973 (1921)
Klein, O.: Quantentheorie und fünfdimensionale Relativitätstheorie. Z. Phys. 37, 895–906 (1927)
Klein, O.: The atomicity of electricity as a quantum law. Nature 118, 516 (1926)
Veblen, O., Hoffmann, B.: Projective relativity. Phys. Rev. 36, 810–822 (1930)
Einstein, A., Rosen, N.: The particle problem in the general theory of relativity. Phys. Rev. 48, 73–77 (1935)
Deutsch, D.: The Beginning of Infinity. Viking, New York (2011)
Stoner, E.C.: The distribution of electrons among atomic levels. Philos. Mag. 48, 719–736 (1924)
Pauli, W.: Über den Zusammenhang des Abschlusses der Elektronen-gruppen im Atom mit der Komplexstruktur der Spektren. Z. Phys. 31, 765–783 (1925)
Dirac, P.A.M.: On the theory of quantum mechanics. Proc. R. Soc. A 112, 661–677 (1926)
Boeyens, J.C.A.: Emergent properties in Bohmian chemistry, in [47, pp. 191–215]
Putz, M.V. (ed.) Quantum Frontiers of Atoms and Molecules. Nova, New York (2011)
Misner, C.W., Thorne, K., Wheeler, J.A.: Gravitation. Freeman, San Francisco (1973)
Lorentz, H.A.: Electromagnetic phenomena in a system moving with any velocity less than that of light. Proc. Kon. Acad. Wet. Amst. 6, 809–831 (1904)
Dirac, P.A.M.: Classical theory of radiating electrons. Proc. R. Soc. A 167, 148–169 (1938)
Nettel, S.: Wave Physics. Springer, Berlin (1992)
Haken, H., Wolf, H.C.: The Physics of Atoms and Quanta, translated by W.D. Brewer. Springer, Berlin (1994)
Margenau, H., Murphy, G.M.: The Mathematics of Physics and Chemistry. Van Nostrand, New York (1943)
Cox, B., Forshaw, J.: The Quantum Universe. Da Capo Press, Boston (2011)
Bohm, D.: Quantum Theory, Dover, New York (1989)
Mermin, N.D.: Quantum mysteries for anyone. J. Philos. 78, 397–408 (1981)
Wheeler, J.A.: in [58, p. 3]
Butts, R.E., Hintikka, J.: Foundational problems in the special sciences. Reidel, Dordrecht (1977)
Bohm, D., Bub, J.: A proposed solution of the measurement problem in quantum mechanics by a hidden variable theory. Rev. Mod. Phys. 38, 453–468 (1966)
Bohm, D., Vigier, J.P.: Model of the causal interpretation of quantum theory in terms of a fluid with irregular fluctuations. Phys. Rev. 96, 208–217 (1954)
Feynman, R.P.: The Character of Physical Law, p. 129. MIT, Cambridge (1967)
Popper, K.R.: Quantum Theory and the Schism in Physics. Routledge, London (1995)
Wong, C.W.: Introduction to Mathematical Physics. Oxford University Press, Oxford (1991)
Feynman, R.P.: QED Penguin Books, London (1990)
Sommerfeld, A.: Atombau und Spektralllinien, 4th edn. Vieweg, Braunschweig (1921)
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Boeyens, J.C.A. (2013). The Forgotten Dimension. In: The Chemistry of Matter Waves. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-7578-7_6
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