52
M. Svrˇ cek
a special subclass, in which the three internal (spatial) and one external (time) coordinates are bound into a four-dimensional spacetime. Brändas recently opened a
discussion of the possible quantum origin of Einstein’s general relativity [18].
Here we have described a different subclass of relativity considerations, with
reference to the structure of molecules and crystals, which follows as a direct result
of the overlooked property-object dualism. The particle-wave dualism is not the only
manifestation of Bohr’s complementarity; there is also a more subtle property-object
dualism. In conclusion we refer to the old controversy between Einstein and Bohr,
with Einstein’s answer to the puzzles of quantum mechanics: “God does not play
dice.” Thus we can understand the principle of relativity as a direct consequence of
the general complementarity principle.
Acknowledgements The author wishes to express his gratitude to E. Brändas for a very careful
reading of the manuscript and improvements of many linguistic and stylistic formulations.
References
1. Born M, Oppenheimer R (1927) Ann Phys (Leipzig) 84:457
2. Jahn HA, Teller E (1937) Proc R Soc London A 161:220
3. Köppel H, Domcke W, Cederbaum LS (1984) Adv Chem Phys 57:59
4. Bersuker IB (2006) The Jahn-Teller effect. Cambridge University Press, Cambridge
5. Bogoliubov NN (1958) Nuovo Cim 10 Ser 7:794
6. Bardeen J, Cooper LN, Schrieffer JR (1957) Phys Rev 108:1175
7. Monkhorst HJ (1987) Phys Rev A 36:1544
8. Cafiero M, Adamowicz L (2004) Chem Phys Lett 387:136
9. Born M, Huang K (1954) The dynamical theory of crystal lattices. Oxford University Press,
London
10. Handy NC, Lee AM (1996) Chem Phys Lett 252:425
11. Kutzelnigg W (1997) Mol Phys 90:909
12. Fröhlich H (1950) Phys Rev 79:845
13. Fröhlich H (1952) Proc R Soc Lond A 215:291
14. Svrˇ cek M, Baˇ nacký P, Biskupiˇ c S, Noga J, Pelikán P, Zajac A (1999) Chem Phys Lett 299:151
15. Svrˇ cek M (2012) In: Progress in theoretical chemistry and physics, vol 22. Springer, Berlin,
pp 511–552. Part 7
16. Svrˇ cek M (2012). arXiv:1207.0711 [physics.gen-ph]
17. Svrˇ cek M (1992) In: Molecular vibrations. Methods in computational chemistry, vol 4.
Plenum, New York, pp 150–202 (Chap 2-6.2) & pp 204–229 (Chap 7)
18. Brändas E (2009) Frontiers in quantum systems. In: Russo N, Antonchenko VYa, Kryachko
E (eds) Chemistry and physics. NATO science for peace and security series A: chemistry and
biology, vol 18. Springer, Dordrecht, pp 49–87
M. Svrˇ cek
a special subclass, in which the three internal (spatial) and one external (time) coordinates are bound into a four-dimensional spacetime. Brändas recently opened a
discussion of the possible quantum origin of Einstein’s general relativity [18].
Here we have described a different subclass of relativity considerations, with
reference to the structure of molecules and crystals, which follows as a direct result
of the overlooked property-object dualism. The particle-wave dualism is not the only
manifestation of Bohr’s complementarity; there is also a more subtle property-object
dualism. In conclusion we refer to the old controversy between Einstein and Bohr,
with Einstein’s answer to the puzzles of quantum mechanics: “God does not play
dice.” Thus we can understand the principle of relativity as a direct consequence of
the general complementarity principle.
Acknowledgements The author wishes to express his gratitude to E. Brändas for a very careful
reading of the manuscript and improvements of many linguistic and stylistic formulations.
References
1. Born M, Oppenheimer R (1927) Ann Phys (Leipzig) 84:457
2. Jahn HA, Teller E (1937) Proc R Soc London A 161:220
3. Köppel H, Domcke W, Cederbaum LS (1984) Adv Chem Phys 57:59
4. Bersuker IB (2006) The Jahn-Teller effect. Cambridge University Press, Cambridge
5. Bogoliubov NN (1958) Nuovo Cim 10 Ser 7:794
6. Bardeen J, Cooper LN, Schrieffer JR (1957) Phys Rev 108:1175
7. Monkhorst HJ (1987) Phys Rev A 36:1544
8. Cafiero M, Adamowicz L (2004) Chem Phys Lett 387:136
9. Born M, Huang K (1954) The dynamical theory of crystal lattices. Oxford University Press,
London
10. Handy NC, Lee AM (1996) Chem Phys Lett 252:425
11. Kutzelnigg W (1997) Mol Phys 90:909
12. Fröhlich H (1950) Phys Rev 79:845
13. Fröhlich H (1952) Proc R Soc Lond A 215:291
14. Svrˇ cek M, Baˇ nacký P, Biskupiˇ c S, Noga J, Pelikán P, Zajac A (1999) Chem Phys Lett 299:151
15. Svrˇ cek M (2012) In: Progress in theoretical chemistry and physics, vol 22. Springer, Berlin,
pp 511–552. Part 7
16. Svrˇ cek M (2012). arXiv:1207.0711 [physics.gen-ph]
17. Svrˇ cek M (1992) In: Molecular vibrations. Methods in computational chemistry, vol 4.
Plenum, New York, pp 150–202 (Chap 2-6.2) & pp 204–229 (Chap 7)
18. Brändas E (2009) Frontiers in quantum systems. In: Russo N, Antonchenko VYa, Kryachko
E (eds) Chemistry and physics. NATO science for peace and security series A: chemistry and
biology, vol 18. Springer, Dordrecht, pp 49–87