Abstract
The Weinberg relation (which connects the Hubble constantH to the mass of a typical elementary particle) is an empirical relation hitherto unexplained. I suggest an explanation based on the Zel'dovich energy tensor of vacuum in a Robertson-Walker universe with constant deceleration parameter,q = const. This model leads to
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(a)
the Weinberg relation,
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(b)
a varying cosmological term Λ scaling asH 2,
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(c)
a varying gravitational constantG scaling asH,
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(d)
a matter creation process throughout the universe at the rate 10−47 g s−1 cm3,
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(e)
a deceleration parameter in the range -1 to 1/2, which allows a horizon-free universe and makes the lawG/H = constant, consistent with the Viking lander data on the orbit of planet Mars.
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Massa, C. A varying cosmological term as a link between cosmology and microphysics. Astrophys Space Sci 209, 309–312 (1993). https://doi.org/10.1007/BF00627451
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DOI: https://doi.org/10.1007/BF00627451