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- W4200192945 abstract "A quantum field of $s=1/2$ in the vicinity of a dust shell contracting at a distance $r({t}_{0})$ to near its gravitational radius ${r}_{s}$ as seen by a FIDO observer is considered. Such an observer perceives a batch of particles around the event horizon. The origin of the particles around the spherical surface of radius $r={r}_{s}+ensuremath{epsilon}$ lies in the thermal excitations in the Boulware vacuum state, ${|0⟩}_{B}$ for an external observer. The foregoing is done based on thermo field dynamics, as it allows one to explain the origin of ${S}_{mathrm{BH}}$ as a state of entanglement between the modes of the fermionic field spreading through the Kruskal variety ${S}_{mathrm{Ent}}ensuremath{propto}{S}_{mathrm{BH}}$ with respect to a FIDO observer. A location of the degrees of freedom responsible for ${S}_{mathrm{BH}}$ entropy is given. The occupation number for particles of a half-integer spin $s=1/2$ is estimated, and it is compared with the occupation number of particles of spin $s=0$, finding that the occupation number of the Dirac field is slightly lower than the occupation number of scalar particles in the vicinity of the gravitational radius; this allows confirming the exclusion principle near event horizons. The other thermodynamic properties of the field are estimated." @default.
- W4200192945 created "2021-12-31" @default.
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- W4200192945 date "2021-11-09" @default.
- W4200192945 modified "2023-09-27" @default.
- W4200192945 title "Entanglement entropy for a Dirac field in a black shell" @default.
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- W4200192945 doi "https://doi.org/10.1103/physrevd.104.105006" @default.
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