Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2011-08-31
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
4 pages
Scientific paper
We consider a boson gas on holographic screens of the Rindler and Schwartzschild spacetimes. It is shown that the gas on the stretched horizon is in a Bose-Einstein condensed state with the Hawking temperature $T_c=T_H$ if the particle number of the system be equal to the number of quantum bits of spacetime $ N \simeq {A}/{{\l_{p}}^{2}}$. A boson gas on a holographic screen $(r>2M)$ with the same number of particles and at Unruh temperature is also in a condensed state. Far from the horizon, the Unruh temperature is much lower than the condensation temperature $(T_c=T_{{Unruh}}+\sqrt {f(r)} T_{Planck})$. This analysis implies a possible physical model for quantum bits of spacetime on a holographic screen. We propose a unique and physical interpretation for equipartition theorem on holographic screens. Also, we will argue that this gas is a fast scrambler.
Mirza Behrouz
Mohammadzadeh Hosein
Raissi Zahra
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