Primordial big bang nucleosynthesis and generalized uncertainty principle
Giuseppe Gaetano Luciano
Abstract
Abstract The Generalized Uncertainty Principle (GUP) naturally emerges in several quantum gravity models, predicting the existence of a minimal length at Planck scale. Here, we consider the quadratic GUP as a semiclassical approach to thermodynamic gravity and constrain the deformation parameter by using observational bounds from Big Bang Nucleosynthesis and primordial abundances of the light elements $${}^4 He, D, {}^7 Li$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:msup> <mml:mrow/> <mml:mn>4</mml:mn> </mml:msup> <mml:mi>H</mml:mi> <mml:mi>e</mml:mi> <mml:mo>,</mml:mo> <mml:mi>D</mml:mi> <mml:mo>,</mml:mo> <mml:msup> <mml:mrow/> <mml:mn>7</mml:mn> </mml:msup> <mml:mi>L</mml:mi> <mml:mi>i</mml:mi> </mml:mrow> </mml:math> . We show that our result fits with most of existing bounds on $$\beta $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>β</mml:mi> </mml:math> derived from other cosmological studies.