Study Proposes Connection Between Quantum Gravity and Cosmic Evolution Through Barrow-Tsallis Entropy
Researchers have submitted a paper to JCAP proposing a method to connect cosmological-scale observations to Planck-scale quantum gravitational effects using a combined Barrow-Tsallis entropy approach. The work derives an exact relationship between the Barrow parameter, encoding microscopic horizon geometry deformations, and the Tsallis parameter, characterizing macroscopic nonextensivity, via inverse cosmographic reconstruction. If validated, the framework could offer a tractable bridge between quantum gravity and observable cosmology, with uncertainties tied only to current measurement precision of cosmographic parameters.
A preprint submitted to the Journal of Cosmology and Astroparticle Physics (JCAP) proposes using Barrow-Tsallis entropy to establish a cosmographic connection between cosmological (infrared) and Planck (ultraviolet) scales. The authors employ an inverse cosmographic reconstruction technique to derive exact analytical relationships between the Barrow parameter—which encodes quantum gravitational deformations of the horizon's microscopic geometry—and the Tsallis parameter, which captures nonextensive thermodynamic effects arising from long-range gravitational interactions. Within an IR-UV correspondence framework, the derived relation also determines how microscopic length uncertainty scales with current cosmographic observables, and shows how nonextensive effects modify the standard Karolyhazy-type scaling. Additionally, the method is applied to assess the viability of fractional derivative approaches for modeling the late-time evolution of the Universe. Because the resulting relationships are exact, the authors argue that observational uncertainties in cosmographic parameters are the sole source of uncertainty in the model parameter relationships. The paper is 12 pages with 4 figures and is currently under review.
What's missing
The study has not yet undergone peer review, as it is a preprint submitted to JCAP.
What different sources said
- arXiv astro-phCenter
Cosmographic Connection Between Cosmological And Planck Scales: The Barrow-Tsallis Entropy
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