Minkowski space (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Minkowski space" in English language version.

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There is an isometric embedding into $ℝ n$ according to the Nash embedding theorem (Nash (1956)), but the embedding dimension is much higher, $n = (m /2)(m + 1)(3 m + 11)$ for a Riemannian manifold of dimension $m$ . Nash, J. (1956). "The Imbedding Problem for Riemannian Manifolds". Annals of Mathematics. 63 (1): 20–63. doi:10.2307/1969989. JSTOR 1969989. MR 0075639.

archive.org

Minkowski 1907–1908, pp. 53–111 *Wikisource translation: s:Translation:The Fundamental Equations for Electromagnetic Processes in Moving Bodies Minkowski, Hermann (1907–1908), "Die Grundgleichungen für die elektromagnetischen Vorgänge in bewegten Körpern" [The Fundamental Equations for Electromagnetic Processes in Moving Bodies], Nachrichten von der Gesellschaft der Wissenschaften zu Göttingen, Mathematisch-Physikalische Klasse: 53–111
- Sard 1970, p. 71 Sard, R. D. (1970). Relativistic Mechanics - Special Relativity and Classical Particle Dynamics. New York: W. A. Benjamin. ISBN 978-0805384918.

books.google.com

Sean M. Carroll (2019). Spacetime and Geometry (illustrated, herdruk ed.). Cambridge University Press. p. 7. ISBN 978-1-108-48839-6.

dictionary.com

"Minkowski" Archived 2019-06-22 at the Wayback Machine. Random House Webster's Unabridged Dictionary.

doi.org

There is an isometric embedding into $ℝ n$ according to the Nash embedding theorem (Nash (1956)), but the embedding dimension is much higher, $n = (m /2)(m + 1)(3 m + 11)$ for a Riemannian manifold of dimension $m$ . Nash, J. (1956). "The Imbedding Problem for Riemannian Manifolds". Annals of Mathematics. 63 (1): 20–63. doi:10.2307/1969989. JSTOR 1969989. MR 0075639.
Poincaré 1905–1906, pp. 129–176 Wikisource translation: On the Dynamics of the Electron Poincaré, Henri (1905–1906), "Sur la dynamique de l'électron" [On the Dynamics of the Electron], Rendiconti del Circolo Matematico di Palermo, 21: 129–176, Bibcode:1906RCMP...21..129P, doi:10.1007/BF03013466, hdl:2027/uiug.30112063899089, S2CID 120211823 Wikisource translation: On the Dynamics of the Electron
Minkowski 1907–1908, pp. 53–111 *Wikisource translation: s:Translation:The Fundamental Equations for Electromagnetic Processes in Moving Bodies Minkowski, Hermann (1907–1908), "Die Grundgleichungen für die elektromagnetischen Vorgänge in bewegten Körpern" [The Fundamental Equations for Electromagnetic Processes in Moving Bodies], Nachrichten von der Gesellschaft der Wissenschaften zu Göttingen, Mathematisch-Physikalische Klasse: 53–111
- Y. Friedman, A Physically Meaningful Relativistic Description of the Spin State of an Electron, Symmetry 2021, 13(10), 1853; https://doi.org/10.3390/sym13101853 Archived 2023-08-13 at the Wayback Machine

handle.net

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Poincaré 1905–1906, pp. 129–176 Wikisource translation: On the Dynamics of the Electron Poincaré, Henri (1905–1906), "Sur la dynamique de l'électron" [On the Dynamics of the Electron], Rendiconti del Circolo Matematico di Palermo, 21: 129–176, Bibcode:1906RCMP...21..129P, doi:10.1007/BF03013466, hdl:2027/uiug.30112063899089, S2CID 120211823 Wikisource translation: On the Dynamics of the Electron

harvard.edu

ui.adsabs.harvard.edu

Poincaré 1905–1906, pp. 129–176 Wikisource translation: On the Dynamics of the Electron Poincaré, Henri (1905–1906), "Sur la dynamique de l'électron" [On the Dynamics of the Electron], Rendiconti del Circolo Matematico di Palermo, 21: 129–176, Bibcode:1906RCMP...21..129P, doi:10.1007/BF03013466, hdl:2027/uiug.30112063899089, S2CID 120211823 Wikisource translation: On the Dynamics of the Electron

jstor.org

There is an isometric embedding into $ℝ n$ according to the Nash embedding theorem (Nash (1956)), but the embedding dimension is much higher, $n = (m /2)(m + 1)(3 m + 11)$ for a Riemannian manifold of dimension $m$ . Nash, J. (1956). "The Imbedding Problem for Riemannian Manifolds". Annals of Mathematics. 63 (1): 20–63. doi:10.2307/1969989. JSTOR 1969989. MR 0075639.

semanticscholar.org

api.semanticscholar.org

Poincaré 1905–1906, pp. 129–176 Wikisource translation: On the Dynamics of the Electron Poincaré, Henri (1905–1906), "Sur la dynamique de l'électron" [On the Dynamics of the Electron], Rendiconti del Circolo Matematico di Palermo, 21: 129–176, Bibcode:1906RCMP...21..129P, doi:10.1007/BF03013466, hdl:2027/uiug.30112063899089, S2CID 120211823 Wikisource translation: On the Dynamics of the Electron

web.archive.org

"Minkowski" Archived 2019-06-22 at the Wayback Machine. Random House Webster's Unabridged Dictionary.
Y. Friedman, A Physically Meaningful Relativistic Description of the Spin State of an Electron, Symmetry 2021, 13(10), 1853; https://doi.org/10.3390/sym13101853 Archived 2023-08-13 at the Wayback Machine

wikisource.org

en.wikisource.org

Poincaré 1905–1906, pp. 129–176 Wikisource translation: On the Dynamics of the Electron Poincaré, Henri (1905–1906), "Sur la dynamique de l'électron" [On the Dynamics of the Electron], Rendiconti del Circolo Matematico di Palermo, 21: 129–176, Bibcode:1906RCMP...21..129P, doi:10.1007/BF03013466, hdl:2027/uiug.30112063899089, S2CID 120211823 Wikisource translation: On the Dynamics of the Electron
Minkowski 1907–1908, pp. 53–111 *Wikisource translation: s:Translation:The Fundamental Equations for Electromagnetic Processes in Moving Bodies Minkowski, Hermann (1907–1908), "Die Grundgleichungen für die elektromagnetischen Vorgänge in bewegten Körpern" [The Fundamental Equations for Electromagnetic Processes in Moving Bodies], Nachrichten von der Gesellschaft der Wissenschaften zu Göttingen, Mathematisch-Physikalische Klasse: 53–111
- Minkowski 1908–1909, pp. 75–88 Various English translations on Wikisource: "Space and Time" Minkowski, Hermann (1908–1909), "Raum und Zeit" [Space and Time], Physikalische Zeitschrift, 10: 75–88 Various English translations on Wikisource: Space and Time.

zenodo.org

Poincaré 1905–1906, pp. 129–176 Wikisource translation: On the Dynamics of the Electron Poincaré, Henri (1905–1906), "Sur la dynamique de l'électron" [On the Dynamics of the Electron], Rendiconti del Circolo Matematico di Palermo, 21: 129–176, Bibcode:1906RCMP...21..129P, doi:10.1007/BF03013466, hdl:2027/uiug.30112063899089, S2CID 120211823 Wikisource translation: On the Dynamics of the Electron