Abstract
The Weyl-Dirac theory of gravitation and electromagnetism is modified by the introduction of a background metric characterized by a scale constant related to the size of the universe. One is led to a natural gauge giving\({{\dot G} \mathord{\left/ {\vphantom {{\dot G} G}} \right. \kern-\nulldelimiterspace} G} = - 5.5 \times 10^{ - 12} y^{ - 1} \). This is smaller by about a factor of ten than the value obtained on the basis of Dirac's large number hypothesis.
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References
H. Weyl,Ann. Phys. (Lpz.),59, 101 (1919).
P. A. M. Dirac,Proc. R. Soc. Lond. A333, 403 (1973).
P. A. M. Dirac,Proc. R. Soc. Lond. A165, 199 (1938).
N. Rosen,Found. Phys. 12, 213 (1982).
N. Rosen,Phys. Rev. 57, 147 (1940).
A. Papapetrou,Proc. Roy. Irish Acad. 52A, 11 (1948).
N. Rosen,Ann. Phys. (N.Y.),22, 1 (1963).
N. Rosen,Gen. Rel. Grav. 12, 493 (1980).
N. Rosen,Found. Phys. 10, 673 (1980).
R. D. Reasenberg and I. I. Shapiro,On the Measurement of Cosmological Variations of the Gravitational Constant, L. Halpern, ed. (University Presses of Florida, Gainesville, 1978), p. 71.
T. C. Van Flandern,Astrophys. J. 248, 813 (1981).
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Rosen, N. The bimetric Weyl-Dirac theory and the gravitational constant. Found Phys 13, 363–372 (1983). https://doi.org/10.1007/BF01906184
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DOI: https://doi.org/10.1007/BF01906184