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Varying-$\alpha $ Theories and Solutions to the Cosmological Problems
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abstract
If the fine structure constant $\alpha =e^2/(\hbar c)$ were to change, then a number of interpretations would be possible, attributing this change either to variations in the electron charge, the dielectric constant of the vacuum, the speed of light, or Planck's constant. All these variations should be operationally equivalent and can be related by changes of standard units. We show how the varying speed of light cosmology recently proposed can be rephrased as a dielectric vacuum theory, similar to the one proposed by Bekenstein. The cosmological problems will therefore also be solved in such a theory.
Forward citations
Cited by 2 Pith papers
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New analysis of SNeIa Pantheon Catalog: Variable speed of light as an alternative to dark energy
A variable-speed-of-light model with a modified Lemaître redshift formula fits the Pantheon supernova catalog with H0 ≈ 47 and no dark energy.
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Revisiting Varying Speed of Light in Cosmology: Insights from the Friedmann-Lema\^itre-Robertson-Walker Metric
A varying speed of light in FLRW is presented as gauge freedom via the lapse function, but the key variational derivation omits the √-g measure and the claimed Hubble-tension resolution contradicts Eq. (30).
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