Is the Equality between the Inertial and the Gravitational Mass Empirically Falsifiable?

Authors

  • Josu Zabaleta Imaz University of the Basque Country

DOI:

https://doi.org/10.48160/18532330me9.215

Keywords:

inertial mass, gravitational mass, equality, non-empirical or structural interpretation, Einstein, Newton

Abstract

Following a suggestion made by Einstein, a non-empirical or structural interpretation of the equality between the inertial and the gravitational mass is proposed. To this aim, I will relate my line of argument regarding the foundations of the General Relativity to an analogous passage on the history of science in Newton’s preparatory works for the Principia. In both cases, two concepts of mass are mere expressions of two different frames of reference (inertial for Newton, non-inertial for Einstein). As a result, the ongoing experiments, whose aim is to prove empirically the equality between the inertial and gravitational mass, should not be accepted.

References

Alexander, H.G. (ed.) (1956), The Leibniz-Clarke Correspondence. Together with Extracts from Newton’s Principia and Opticks, Manchester: Manchester University Press.

Carr, D. (1986), “Narrative and the Real World: An Argument for Continuity”, History and Theory25(2): 117-131.

d’Alembert, J. le R. (1743), Traité de dynamique, Paris: David.

Descartes, R. (1644), Principia Philosophiae, Amsterdam: Elzevir.

Doran, R. (2013), “Editor’s Introduction: Choosing the Past: Hayden White and the Philosophy of History”, in Doran, R. (ed.), Philosophy of History after Hayden White, London/New Delhi/New York/Sydney: Bloomsbury, pp. 1-33.

Einstein, A.(1969), Grundzüge der Relativitätstheorie, Braunschweig: Vieweg.

Frege, G. (1892), “Über Sinn und Bedeutung”, Zeitschrift für Philosophie und philosophische Kritik100: 25-50.

Herivel, J. (1965), The Background to Newton’s Principia, Oxford: Oxford at the Clarendon Press.

Holmes, F.L. (1998), Antoine Lavoisier. The Next Crucial Year, New Jersey: Diane Publishing Co.

Huygens, C. (1929a), De vi centrifuga, in Oeuvrescomplètes, Vol. 16, La Haye: Martinus Nijhoff.

Huygens, C. (1929b), De motu corporum ex percussione, in Oeuvres complètes, Vol. 16, La Haye: Martinus Nijhoff.

Lagrange, J. (1788), Méchanique Analitique, Paris: Gauthier-Villars et fils.

Lanczos, C. (1970), The Variational Principles of Mechanics, New York: Dover.

Newton, I. (1687), Philosophiae Naturalis Principia Mathematica, London: S. Pepys. (English version by I.BernardCohenand Anne Whitman:The Principia. Mathematical Principles of Natural Philosophy, Berkeley: University of California Press, 1992.)

Downloads

Published

2018-10-01

How to Cite

Zabaleta Imaz, J. (2018). Is the Equality between the Inertial and the Gravitational Mass Empirically Falsifiable?. Metatheoria – Journal of Philosophy and History of Science, 9(1), 51–61. https://doi.org/10.48160/18532330me9.215

Issue

Section

Articles