Letter | Published:

Non-Euclidean Geometry in Microscopic Space

Nature volume 143, page 683 (22 April 1939) | Download Citation

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Abstract

CONSIDERATIONS of Heitler, Nordheim and Teller1, based on Heisenberg's uncertainty principle, show that Newtonian gravitation has only a macroscopic significance; further, in the theory of ultimate particles, it is necessary to introduce a finite length, a, of approximately 10–13 cm. (radius of electron or of light nuclei), which is not justified theoretically if we use Euclidean geometry or Einstein's gravitational curvature.

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References

  1. 1.

    From , Phys. Z., 38, 800–814 (1937).

  2. 2.

    , "Relativity, Thermodynamics and Cosmology" (Oxford, 1934), p. 346.

  3. 3.

    , "La Théorie de la Relativité" (G. Villars, 1926), 2, 130.

  4. 4.

    , "Leçons d'Algèbre et d'Analyse" (G. Villars, 1936), 2, 90, 135.

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Affiliations

  1. Laboratoire de Physique Théorique, Collège de France, Paris. March 15.

    • JEAN MARIANI

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DOI

https://doi.org/10.1038/143683a0

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