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A Hubble Constant Determination Through Quasar Time Delays and Type Ia Supernovae
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abstract
This paper presents a new model-independent constraint on the Hubble constant ($H_0$) by anchoring relative distances from Type Ia supernovae (SNe Ia) observations to absolute distance measurements from time-delay strong Gravitational Lensing (SGL) systems. The approach only uses the validity of the cosmic distance duality relation (CDDR) to derive constraints on $H_0$. By using Gaussian Process (GP) regression to reconstruct the unanchored luminosity distance from the Pantheon$+$ compilation to match the time-delay angular diameter distance at the redshift of the lenses, one yields a value of $H_0 = 75.57 \pm 4.415$ km/s/Mpc at a 68\% confidence level. The result aligns well with the local estimate from Cepheid variables within the $1\sigma$ confidence region, indicating consistency with late-universe probes.
Forward citations
Cited by 2 Pith papers
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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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