July 28, 2020 to August 6, 2020
virtual conference
Europe/Prague timezone

Bekenstein bound from the Pauli principle

Jul 31, 2020, 1:51 PM
3m
virtual conference

virtual conference

Poster 10. Formal Theory Beyond the Standard Model - Posters

Speaker

Dr Luca Smaldone (Charles University Prague)

Description

Assuming that the degrees of freedom of a black hole are finite in number and of fermionic nature, we naturally obtain, within a second-quantized toy model of the evaporation, that the Bekenstein bound is a consequence of the Pauli exclusion principle for these fundamental degrees of freedom. We show that entanglement, Bekenstein and thermodynamic entropies of the black hole all stem from the same approach, based on the entropy operator whose structure is the one typical of Takahashi and Umezawa's Thermofield Dynamics. We then evaluate the von Neumann black hole--environment entropy and noticeably obtain a Page-like evolution. We finally show that this is a consequence of a duality between our model and a quantum dissipative-like fermionic system.

Primary author

Dr Luca Smaldone (Charles University Prague)

Co-authors

Alfredo Iorio (Institute of Particle and Nuclear Physics, Faculty of Mathematics and Physics, Charles University ,Prague, Czech Republic) Giovanni Acquaviva (Charles University)

Presentation materials