CGHS Black Hole Analog Moving Mirror and Its Relativistic Quantum Information as Radiation Reaction

Abstract

The Callan–Giddings–Harvey–Strominger black hole has a spectrum and temperature that correspond to an accelerated reflecting boundary condition in flat spacetime. The beta coefficients are identical to a moving mirror model, where the acceleration is exponential in laboratory time. The center of the black hole is modeled by the perfectly reflecting regularity condition that red-shifts the field modes, which is the source of the particle creation. In addition to computing the energy flux, we find the corresponding moving mirror parameter associated with the black hole mass and the cosmological constant in the gravitational analog system. Generalized to any mirror trajectory, we derive the self-force (Lorentz–Abraham–Dirac), consistently, expressing it and the Larmor power in connection with entanglement entropy, inviting an interpretation of acceleration radiation in terms of information flow. The mirror self-force and radiative power are applied to the particular CGHS black hole analog moving mirror, which reveals the physics of information at the horizon during asymptotic approach to thermal equilibrium.

Extreme Electron Acceleration with Fixed Radiation Energy

“…Therefore, we now turn to the self-force, [ 18 , 19 ]; we find it convenient to dub this the ‘Feynman power’ [ 17 ]. This is an analogous ‘self-force measure’ as a function of retarded time u : Unlike the Larmor power, the Feynman power can be negative.…”

“…The Lorentz invariance cross-over is present in the quantum Lorentz–Abraham–Dirac (LAD) force discovered by Ford and Vilenkin [ 19 ] (for a derivation see [ 18 ]), the magnitude of which is a Lorentz scalar invariant jerk where the prime denotes a derivative with respect to proper time. For convenience, this is compared to the classical LAD self-force with scalar magnitude, as we have seen: These are quantum and classical forces (and power), tying together mirror and electrons in close analogy.…”

“…Therefore, we now turn to the self-force, F = α (τ )/6π [18,19]; we find it convenient to dub this the 'Feynman power' [17]. This is an analogous 'self-force measure' F (u) = F dr du = F β/(1 − β) as a function of retarded time u:…”

“…This provides a tool to understand how to avoid a divergence in the radiation energy. Consider the analog between mirrors and electrons (namely, powers [21,22] and self-forces [18,19]) outlined the last four equations of Section VII. A connection between moving mirrors and moving charges has been established by Ritus [23][24][25][26], who found symmetries linking the creation of pairs of massless bosons or fermions by an accelerated mirror in 1 + 1 space and the emission of single photons or scalar quanta by electric or scalar charges in 3 + 1 space.…”

Unruh quantum Otto engine in the presence of a reflecting boundary

“…Accelerating mirrors can be considered as an analogue of the dynamical Casimir effect in (1+1) dimensions [34,35], a prototype for black hole evaporation [36][37][38][39][40]. It has been observed that there is a strong connection between accelerating mirrors and black hole physics [41][42][43][44].…”