Hostname: page-component-586b7cd67f-t8hqh Total loading time: 0 Render date: 2024-12-02T21:32:05.572Z Has data issue: false hasContentIssue false

Conventionality in Distant Simultaneity

Published online by Cambridge University Press:  14 March 2022

Brian Ellis
Affiliation:
University of Melbourne
Peter Bowman
Affiliation:
University of Melbourne

Abstract

In his original paper of 1905, “On the Electrodynamics of Moving Bodies”, Einstein described a procedure for synchronizing distant clocks at rest in any inertial system K. Clocks thus synchronized may be said to be in standard signal synchrony in K. It has often been claimed that there are no logical or physical reasons for preferring standard signal synchronizations to any of a range of possible non-standard ones. In this paper, the range of consistent non-standard signal synchronizations, first for any one inertial system, and second for any set of such systems, is investigated, and it is shown that the requirement of consistency leaves much less room for choice than is commonly supposed. Nevertheless consistent non-standard signal synchronizations appear to be possible. However, it is also shown that good physical reasons for preferring standard signal synchronizations exist, if the Special Theory of Relativity yields correct predictions.

The thesis of the conventionality of distant simultaneity espoused particularly by Reichenbach and Grünbaum is thus either trivialized or refuted.

Type
Research Article
Copyright
Copyright © Philosophy of Science Association 1967

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Footnotes

∗∗

Now at La Trobe University, Melbourne

∗∗∗

Now at Indiana University. This author wishes to express his gratitude to the Australian-American Educational Foundation (Fulbright-Hayes Program) and the Danforth Foundation (Kent Program) for support of his research.

References

REFERENCES

[1] Bohm, D., The Special Theory of Relativity, New York and Amsterdam, 1965.Google Scholar
[2] Bridgman, P. W., A Sophisticate's Primer of Relativity, Middletown, Conn., 1962.Google Scholar
[3] d'Abro, A., The Evolution of Scientific Thought from Newton to Einstein, New York, 1950 (1st ed. 1927).Google Scholar
[4] Eddington, A. S., The Mathematical Theory of Relativity, Cambridge, 1923.Google Scholar
[5] Einstein, A., “On the Electrodynamics of Moving Bodies” in The Principle of Relativity, A Collection of Original Memoirs, New York, 1952, pp. 37–65 (originally in Annalen der Physik, ser. 4, vol. 17 (1905), pp. 891–921).CrossRefGoogle Scholar
[6] Einstein, A., The Meaning of Relativity, Princeton, 1946 (1st ed. 1921).CrossRefGoogle Scholar
[7] Ellis, B. D., Basic Concepts of Measurement, Cambridge, 1966.Google Scholar
[8] Grünbaum, A., Philosophical Problems of Space and Time, New York, 1963.Google Scholar
[9] Grünbaum, A., “Whitehead's Philosophy of Science” in Philosophical Review, vol. LXXI (1962), pp. 218229.Google Scholar
[10] Grünbaum, A., Prologue and Epilogue to [2], pp. viif. and 165191.Google Scholar
[11] Grünbaum, A., “Relativity of Simultaneity within a Single Galilean Frame: A Rejoinder” in American Journal of Physics, vol. 24 (1956), pp. 588590.CrossRefGoogle Scholar
[12] Ives, H. E., Journal of the Optical Society of America, vol. 38 (1948), pp. 879–884; vol. 39 (1949), pp. 757–761; vol. 40 (1950), pp. 185191.Google Scholar
[13] Keswani, G. H., “Origin and Concept of Relativity” in The British Journal for the Philosophy of Science; Part I in vol. XV (1965), pp. 286–306; Part II in vol. XVI (1965), pp. 19–32; Part III in vol. XVI (1966), pp. 273294.Google Scholar
[14] MacCorquodale, K., and Meehl, P. E., “Hypothetical Constructs and Intervening Variables” in Readings in the Philosophy of Science (edited by H. Feigl and M. Brodbeck), New York, 1953, pp. 596–611.Google Scholar
[15] M⊘ller, C., The Theory of Relativity, Oxford, 1952.Google Scholar
[16] Putnam, H., “An Examination of Grünbaum's Philosophy of Geometry” in Philosophy of Science: The Delaware Seminar (edited by B. Baumrin), New York, vol. 2 (1962–63), pp. 205–255.Google Scholar
[17] Reichenbach, H., Axiomatic der relativistitischen Raum-Zeit-Lehre, Brunswick, 1924; an English translation by M. Reichenbach is to be published by the University of California Press.Google Scholar
[18] Reichenbach, H., “Planetenuhr and Einsteinsche Gleichzeitgkeit” in Zeitschrift für Physik, vol. XXX (1925), pp. 628634.Google Scholar
[19] Reichenbach, H., The Philosophy of Space and Time, New York, 1958 (1st ed. 1928).Google Scholar
[20] Reichenbach, H., “Lichtgeschwindigkeit und Gleichzeitigkeit”, Annalen der Philosophie und Philosophischen Kritik, vol VI (1927), pp. 128144.Google Scholar
[21] Reichenbach, H., “Die relativistische Zeitlehre”, Scientia, vol. XXXVI (1924), pp. 361374.Google Scholar
[22] Thirring, H., Die Idee der Relativitätstheorie, Vienna, 1948 (1st ed. 1921).CrossRefGoogle Scholar
[23] Törnebohm, H., A Logical Analysis of the Theory of Relativity, Stockholm, 1952.Google Scholar
[24] Whitehead, A. N., An Enquiry Concerning the Principles of Natural Knowledge, Cambridge, 1955 (1st ed. 1919).Google Scholar
[25] Whitrow, G. J., The Natural Philosophy of Time, New York and Evanston, 1963 (1st ed. 1961).Google Scholar
[26] Winternitz, J., Relativitätstheorie und Erkenntnislehre, Leipzig, 1923.CrossRefGoogle Scholar