Newton’s Scientific and Philosophical Legacy pp 193-199 | Cite as

# Newtonian Gravitational Theory and General Relativity in the Light of the Correspondence between their Mathematical Models

Chapter

## Abstract

The correspondence relation between two physical theories T’ and T reflects their mutual kinship. It enters into consideration whenever the new theory T’ is formulated and its formal and substantial ties with the previous one T are studied. In the present paper it is assumed that two theories T’ and T satisfy the correspondence relation

^{1}if:- 1.
The new theory [T’] is empirically consistent with the older theory [T] in their common range of application to the description of physical reality. This requirement is often called the cumulativity of knowledge.

- 2.
Both theories can be formulated in uniform language and it is possible to proceed from T’ to T by the reduction of the denotation of the respective linguistic expressions. This requirement is often called the formal correspondence postulate.

## Keywords

Gravitational Field Gravitational Theory Affine Space Newtonian Theory Common Range
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## Notes

- The references to such a formulation are quoted in T. Grabińska and M. Zabierowski, “O relacji korespondencji między teoriami Einsteina i Newtona,” [in Polish], Z Zagadnien Filozofii Przyrodoznawstwa i Filozofii Przyrody,
*VI*, (1984), 145–153.Google Scholar - The correspondence relation between SR and GT is discussed e.g. in E. Zahar, “Why did Einstein’s programme supersede Lorentz’s?,” in: (“lMethod and Appraisal in the Physical Sciences,” ed. C. Howson, Cambridge University Press, Cambridge, 1976, pp. 257–259;Google Scholar
- M. Czarnocka and J.M. Zytkow, “O redukcji mechaniki klasycznej do relatywistycznej,” [in Polish], Studia Filozoficzne
*8–9*, [1978], 185–196.Google Scholar - W. Pauli, “Theory of Relativity,” Pergamon Press, London, 1958, Ch.4.Google Scholar
- A. Trautman, “Comparison of Newtonian and Relativistic Theories of Spacetime,” in: “Perspectives in Geometry and Relativity,” ed. B. Hoffman, Indiana University Press, 1966.Google Scholar
- S. Amsterdamski, “Między doświadczeniem a metafizyką,” [in Polish], Warszawa, 1973, pp. 208–209; R. Suszko, 1968, “Formal Logic and the Development of Knowledge,” Problems in the Philosophy of Science,
*3*, [1968], pp. 210–222, pp. 227–230.CrossRefGoogle Scholar

## Copyright information

© Kluwer Academic Publishers 1988