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Abstract:

Following the graphical method of Marzke and Wheeler it is shown analytically that if we know the space-time paths of all particles and light pulses we can deduce the connection and the metric of the space-time manifold. Specifically if such space-time paths fulfill some reasonable physical hypotheses, it is proved that space-time is a Riemannian manifold. To reach this conclusion a new definition of parallelism is introduced, based only on ideal experiments. This parallelism is entirely different from the ordinary parallel transfers, if the manifold is non-Riemannian; therefore it opens new ways of modifying gravitational theory.

Registro:

Documento: Artículo
Título:The remannian sructure of space-time as a consequence of a measurement method
Autor:Castagnino, M.A.
Filiación:Departmento de Matemáticas, Facullad de Ciencias Exactas, Universidad de Buenos Aires, Argentina
Año:1971
Volumen:12
Número:10
Página de inicio:2203
Página de fin:2211
DOI: http://dx.doi.org/10.1063/1.1665522
Título revista:Journal of Mathematical Physics
ISSN:00222488
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00222488_v12_n10_p2203_Castagnino

Referencias:

  • Marzke, R.F., The Theory of Measurement in General Relativity (1959), A. B. Senior Thesis (Princeton) (unpublished); Marzke, R.F., Wheeler, J.A., (1934) Gravitation as a Geometry. The Geometry of Space-Time and Geometro-Dynamics Standard Meters Enclosed in Gravitation and Relativity, , (Benjamin, New York)
  • Castagnino, M., (1968) Rend. Accad. Naz. Lincei, 44, p. 533
  • We indicate the complete symmetrization by [formula omitted] ; Castagnino, M., (1968) Nuovo Cimento, 54, p. 149
  • Castagnino, M., (1965) Math. Notae, 3, pp. 1-117

Citas:

---------- APA ----------
(1971) . The remannian sructure of space-time as a consequence of a measurement method. Journal of Mathematical Physics, 12(10), 2203-2211.
http://dx.doi.org/10.1063/1.1665522
---------- CHICAGO ----------
Castagnino, M.A. "The remannian sructure of space-time as a consequence of a measurement method" . Journal of Mathematical Physics 12, no. 10 (1971) : 2203-2211.
http://dx.doi.org/10.1063/1.1665522
---------- MLA ----------
Castagnino, M.A. "The remannian sructure of space-time as a consequence of a measurement method" . Journal of Mathematical Physics, vol. 12, no. 10, 1971, pp. 2203-2211.
http://dx.doi.org/10.1063/1.1665522
---------- VANCOUVER ----------
Castagnino, M.A. The remannian sructure of space-time as a consequence of a measurement method. 1971;12(10):2203-2211.
http://dx.doi.org/10.1063/1.1665522