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A causal explanation for quantum phenomena in macroscopic physics

  • Published:
Il Nuovo Cimento B (1971-1996)

Summary

The dynamics underlying quantum theory for macroscopic physics is based on the topology of flows on a cusp catastrophe obtained by the minimization of a potential function. By this relation at a known potential energy, a causal explanation of the quantum effect is provided.

Riassunto

La dinamica che è alla base della teoria quantistica per la fisica macroscopica è basata sulla topologia dei flussi su una catastrofe a cuspide ottenuta dalla minimizzazione di una funzione potenziale. Si fornisce una spiegazione causale dell'effetto quantico per mezzo di questa relazione a un potenziale di energia noto.

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References

  1. D. Gabor:Journ. Inst. Electr. Engrs.,93, 429 (1946).

    Google Scholar 

  2. T. W. Barrett:T-I-T Journ. Life Sci.,1, 129 (1971).

    Google Scholar 

  3. T. W. Barrett:Journ. Sound and Vibration,20, 407 (1972).

    Article  ADS  MATH  Google Scholar 

  4. T. W. Barrett:Journ. Acoust. Soc. Amer.,54, 1092 (1973).

    Article  ADS  Google Scholar 

  5. T. W. Barrett:Acustica,29 65 (1973).

    Google Scholar 

  6. T. W. Barrett:Acustica,33, 149 (1975).

    MATH  Google Scholar 

  7. M. Morse:Trans. Amer. Math. Soc.,27, 345 (1925).

    MathSciNet  MATH  Google Scholar 

  8. M. Morse:Trans. Amer. Math. Soc.,33, 72 (1931).

    MathSciNet  Google Scholar 

  9. H. Whitney:Ann. of Math.,45, 220 (1944).

    Article  MathSciNet  MATH  Google Scholar 

  10. H. Whitney:Ann. of Math.,45, 247 (1944).

    Article  MathSciNet  MATH  Google Scholar 

  11. H. Whitney:Ann. of Math.,62, 374 (1955).

    Article  MathSciNet  MATH  Google Scholar 

  12. A. Einstein:Ann. Phys.,11, 170 (1903).

    Article  MATH  Google Scholar 

  13. A. Einstein:Ann. Phys.,33, 1275 (1910).

    Article  MATH  Google Scholar 

  14. R. J. Donnelly, R. Herman andI. Prigogine (Editors):Nonequilibrium Thermodynamics: Variational Techniques and Stability (Chicago, Ill., 1966).

  15. P. Glansdorff andI. Prigogine:Thermodynamic Theory of Structure, Stability and Fluctuations (New York, N. Y., 1971).

  16. M. P. Hanson:Chem. Phys.,61, 2081 (1974).

    ADS  Google Scholar 

  17. R. Thom: inTowards a Theoretical Biology.—Vol. 1:Prolegomena, edited byC. H. Waddington (Chicago, Ill., 1971).

  18. R. Thom: inTowards a Theoretical Biology.— Vol. 3:Drafts, edited byC. H. Waddington (Chicago, Ill., 1970).

  19. R. Thom: inTowards a Theoretical Biology.—Vol. 4:Essays, edited byC. H. Waddington (Chicago, Ill., 1972).

  20. R. Thom:Structural Stability and Morphogenesis, translatorD. H. Fowler (New York, N. Y., 1975).

  21. E. V. Appleton andB. Van der Pol:Phil. Mag.,43, 177 (1922).

    Article  Google Scholar 

  22. B. Van der Pol:Phil. Mag.,2, 978 (1926).

    Article  Google Scholar 

  23. B. Van der Pol andJ. Van der Mark:Phil. Mag.,6, 763 (1928).

    Article  Google Scholar 

  24. E. C. Zeeman: inTowards a Theoretical Biology.—Vol. 4:Essays, edited byC. H. Waddington (Chicago, Ill., 1972).

  25. C. George:Physica,65, 277 (1973).

    Article  ADS  Google Scholar 

  26. C. George andI. Prigogine:Int. Journ. Quant. Chem. Symp.,8, 335 (1974).

    Article  Google Scholar 

  27. I. Prigogine, C. George, F. Henin andL. Rosenfeld:Chem. Scrip. 4, 5 (1973).

    Google Scholar 

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Authors and Affiliations

  1. Department of Physiology and Biophysics, University of Tennessee Center for the Health Sciences, 38163, Memphis, Tenn.

    T. W. Barrett

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  1. T. W. Barrett
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Barrett, T.W. A causal explanation for quantum phenomena in macroscopic physics. Nuovo Cim B 39, 116–122 (1977). https://doi.org/10.1007/BF02738181

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  • DOI: https://doi.org/10.1007/BF02738181

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