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In this paper, we explore potential inflationary interpretation of this signal within the context of a simple and health parity-violating gravity model termed the Nieh-Yan modified Teleparallel Gravity.

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In this paper, we put constraints on these two cases ( two comparable dominated sources with two separate BPL spectra or a single source with a doubly-BPL spectrum ) from Advanced LIGO-Virgo’s first three observing runs.

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We have revealed a hidden trend in this one-percent H0 variation both theoretically and observationally. We have derived for the first time our H0 variation measured from any discrete sample of distant SNe Ia.

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We further investigate the perspective of this improved inverse distance ladder method by including the late-time matter perturbation growth data. The previous late-time no-go guide for the Hubble tension is further strengthened.

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We study the inflationary implications of a novel parity-violating gravity model, which modifies the teleparallel equivalent of general relativity by introducing the Nieh-Yan term coupled to an axion-like field.

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We propose to use a global parametrizationbased on the cosmic age (PAge) to consistently use the cosmic chronometers data beyond the Taylor expansion domain and without the input of a sound-horizon prior.

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We propose a late-time inhomogeneous resolution suggesting that a chameleon field coupled to a local overdensity of matter as an effective cosmological constant driving the local expansion rate faster than that of the background.

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Our conclusion strengths the previous studies that the current tension on Hubble constant cannot be saved by a local void alone.

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