From Classical Newtonian Phylosophy to Skyrmion – A Short History

Mazilu, Nicolae; Rusu, Cristina-Marcela

doi:10.2478/bipmf-2021-0010

Abstract

This paper presents a short history from Philosophiae Naturalis Principia Matematica of Newton to skyrmions of Skyrme. It is shown that the classical mechanics does not exclude skyrmions (as topologically stable field configuration of a certain class of non-linear sigma models- for example nucleon model). In certain conditions the Newtonian Theory becomes fundamental in building of modern physics theories (as quantum mechanics, fields theories, etc.).

References

Bentley R., Works, Vol. III, Francis Macpherson, London (1838).
Search in Google Scholar Back to article
Bentley R., Correspondence, Vol. I, John Murray, London (1842).
Search in Google Scholar Back to article
Beyer R.T., Foundations of Nuclear Physics, Dover Publications, New York (1949).
Search in Google Scholar Back to article
Bohr N., On the Constitution of Atoms and Molecules, The Philosophical Magazine, Vol. 26, pp. 1-24 (1913).10.1080/14786441308634955
Search in Google Scholar Back to article
Brink D.M., Nuclear Forces, Pergamon Press, Oxford (1965).
Search in Google Scholar Back to article
Einstein A., Concerning an Heuristic Point of View Toward the Emission and Transformation of Light, American Journal of Physics, Vol. 33 (1965), English translation of the original from Annalen der Physik, Vol. 17 (1905).
Search in Google Scholar Back to article
Gamow G., Zur Quantentheorie des Atomkernes, Zeitschrift fur Physik, Vol. 51, pp. 204-212 (1928).10.1007/BF01343196
Search in Google Scholar Back to article
Lewis G.N., The Conservation of Photons, Nature, Vol. 118, pp. 874-875 (1926).10.1038/118874a0
Search in Google Scholar Back to article
Mandelbrot B.B., The Fractal Geometry of Nature, W. H. Freeman and Co., San Fracisco (1982).
Search in Google Scholar Back to article
Manton N.S., Geometry of Skyrmions, Communications in Mathematical Physics, Vol. 111, pp. 469-478 (1987).10.1007/BF01238909
Search in Google Scholar Back to article
Newton I., The Principia, Prometheus Books, Amherst, New York (1995).
Search in Google Scholar Back to article
Pauli W., General Principles of Quantum Mechanics, Springer-Verlag, Berlin (1980).10.1007/978-3-642-61840-6
Search in Google Scholar Back to article
Rutherford E., The Scattering of α and β Particles by Matter and the Structure of the Atom, The Philosophical Magazine, Vol. 21, pp. 669-688 (1911).10.1080/14786440508637080
Search in Google Scholar Back to article
Schrödinger E., Collected Papers on Wave Mechanics, Blackie & Son Limited, London (1928).
Search in Google Scholar Back to article
Schrödinger E., Mémoirs Sur La Mécanique Ondulatoire, Félix Alcan, Paris (1933).
Search in Google Scholar Back to article
Seeliger H., Uber das Newton’sche Gravitationsgesetz, Astronomische Nachrichten, Vol. 137, pp. 129-136 (1895).10.1002/asna.18951370902
Search in Google Scholar Back to article
Skyrme T.H.R., The Origins of Skyrmions, International Journal of Modern Physics, Vol. A3, 2745-2751 (1988).10.1142/S0217751X88001156
Search in Google Scholar Back to article
Thomson J.J., Electricity and Matter, Charles Scribner’s Sons, New York (1907).
Search in Google Scholar Back to article
Weinberg S., The First Three Minutes, Basic Books (1993).
Search in Google Scholar Back to article
Witten E.B., Some Exact Multi-Instanton Solutions of Classical Yang-Mills Theory, HUTP-76 A172b, Physical Review Letters, Vol. 38, pp. 121-124 (1976).10.1103/PhysRevLett.38.121
Search in Google Scholar Back to article
Yukawa H., On the Interaction of Elementary Particles, Progress of Theoretical Physics (Japan), Vol. 17, p. 48 (1935).
Search in Google Scholar Back to article

From Classical Newtonian Phylosophy to Skyrmion – A Short History

Abstract

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