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Constraining a possible time-variation of the speed of light along with the fine-structure constant using strong gravitational lensing and Type Ia supernovae observations
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abstract
The possible time variation of the fundamental constants of nature has been an active subject of research since the large-number hypothesis was proposed by Dirac. In this paper, we propose a new method to investigate a possible time variation of the speed of light ($c$) along with the fine-structure constant ($\alpha$) using Strong Gravitational Lensing (SGL) and Type Ia Supernovae (SNe Ia) observations. We assume a general approach to describe the mass distribution of lens-type galaxies, the one in favor of the power-law index model (PLAW). We also consider the runaway dilaton model to describe a possible time-variation of $\alpha$. In order to explore the results deeply, we split the SGL sample into five sub-samples according to the lens stellar velocity dispersion and three sub-samples according to lens redshift. The results suggest that it is reasonable to treat the systems separately, but no strong indication of varying $c$ was found.
Forward citations
Cited by 4 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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Investigating a Possible Variation of the Gravitational Constant Through Gas Mass Fraction Measurements and Type Ia Supernovae Observations
Non-parametric reconstruction of G(z) from cluster f_gas and Pantheon+ under L∝G^1.46 finds constant G consistent, with only mild low-z departures allowed.
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A Joint Analysis of Strong Lensing and Type Ia Supernovae to Determine the Hubble Constant
A model-independent combination of strong lensing and supernova data gives H0 = 70.55 ± 7.44 km/s/Mpc, consistent with both Planck and SH0ES within 1sigma.
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Dilaton-induced variations in Planck constant and speed of light: An alternative to Dark Energy
The paper assigns dilaton-dependent ℏ and c in a scale-invariant fermion-gauge action, derives a τ∝l^{3/2} time scaling, and claims this replaces dark energy, with the supernova fit deferred to a companion paper.
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