The generalized second law of thermodynamics with Barrow entropy

Abstract We investigate the validity of generalized second law thermodynamics, applying Barrow entropy for horizon entropy. The former arises from fact that black-hole surface may be deformed due to quantum-gravitational effects, quantified by a new exponent $$\Delta $$ Δ . calculate time-variation in universe filled with matter and dark energy fluids, as well corresponding quantity apparent horizon. show although case =0$$ = 0 , which corresponds usual entropy, sum enclosed plus itself is always non-decreasing function time thus thermodynamics valid, this not true anymore, violated, depending on evolution. Hence, order have violation, deformation standard Bekenstein–Hawking expression should small expected.