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.
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 |