Unitarity restoring graviton radiation in the collapse regime of scattering

Abstract

We investigate graviton radiation in gravitational scattering at small impact parameters $b<R\equiv 2G\sqrt{s}$ and extreme energies $s\gg M_P^2$, a regime in which classical collapse is thought to occur, and thus radiation may be suppressed also. Here however, by analyzing the soft-based representation of radiation recently proposed in the semiclassical ACV framework, we argue that gravitons can be efficiently produced in the untrapped region $|\mathbf{x}|\gtrsim R>b$, so as to suggest a possible completion of the unitarity sum. In fact, such energy radiation at large distances turns out to compensate and to gradually reduce to nothing the amount of energy $E^{\prime }$ being trapped at small-$b$'s, by thus avoiding the quantum tunneling suppression of the elastic scattering and suggesting a unitary evolution. We finally look at the coherent radiation sample so obtained and we find that, by energy conservation, it develops an exponential frequency damping corresponding to a "quasi-temperature" of order $\hslash /R$, which is naturally related to a Hawking radiation and is suggestive of a black-hole signal at quantum level.

arXiv comment13 pages, 3 figures

References in corpus (15)

• Causality Constraints on Corrections to the Graviton Three-Point Coupling
• Scattering at Planckian Energies
• Black Hole Formation and Classicalization in Ultra-Planckian 2 -> N Scattering
• Towards an S-matrix Description of Gravitational Collapse
• The Information Paradox for Black Holes
• Unified limiting form of graviton radiation at extreme energies
• Rescattering corrections and self-consistent metric in Planckian scattering
• Glimpses of black hole formation/evaporation in highly inelastic, ultra-planckian string collisions
• Emerging Hawking-like Radiation from Gravitational Bremsstrahlung Beyond the Planck Scale
• Exploring an S-matrix for gravitational collapse II: a momentum space analysis
• S-matrix and Quantum Tunneling in Gravitational Collapse
• Exploring an S-matrix for gravitational collapse
• High energy gravitational scattering: a numerical study
• Quantum Tunneling and Unitarity Features of an S-matrix for Gravitational Collapse
• Radiation enhancement and "temperature" in the collapse regime of gravitational scattering

Cited by in corpus (4)

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