Horizon induces instability locally and creates quantum thermality
arXiv:1910.07989 · doi:10.1103/PhysRevD.102.044006
Abstract
The classical Hamiltonian for a chargeless and massless particle in a very near horizon region is shown to be of the form as long as radial motion is concerned. This is demonstrated explicitly for static spherically symmetric black hole and also found to be applicable for specific choice of radial trajectories in the Kerr case. Such feature of horizon leads to unavoidable "{\it local instability}" in the particle's radial motion as long as near horizon regime is concerned. We show that at the quantum level this provides thermality in the system. The temperature is found to be given by the Hawking expression. Finally, we conjecture that the automatic instability created by the horizon is responsible for its own temperature and consequently can be a possible physical mechanism for horizon temperature.
arXiv commentModified version, to appear in Phys. Rev. D
References in corpus (29)
- A bound on chaos
- Hawking Radiation as Tunneling
- Geodesic stability, Lyapunov exponents and quasinormal modes
- Relationship between Hawking Radiation and Gravitational Anomalies
- Quantum Tunneling Beyond Semiclassical Approximation
- Hawking Radiation from Charged Black Holes via Gauge and Gravitational Anomalies
- Out-of-time-order correlators in quantum mechanics
- Universality in Chaos of Particle Motion near Black Hole Horizon
- Information Scrambling and Loschmidt Echo
- Hawking black body spectrum from tunneling mechanism
- A new form of the Kerr solution
- Hawking Radiation and Covariant Anomalies
- Connecting anomaly and tunneling methods for Hawking effect through chirality
- Presence of horizon makes particle motion chaotic
- Static Equilibria of Charged Particles Around Charged Black Holes: Chaos Bound and Its Violations
- Falling Toward Charged Black Holes
- Hawking Radiation, Covariant Boundary Conditions and Vacuum States
- Quasinormal Modes and Hawking-Unruh effect in Quantum Hall Systems: Lessons from Black Hole Phenomena
- Thermal Emission from Semi-classical Dynamical Systems
- Spectral functions and negative density of states of a driven-dissipative nonlinear quantum resonator
- Chaos of Wilson Loop from String Motion near Black Hole Horizon
- Minimal Length Effects on Chaotic Motion of Particles around Black Hole Horizon
- Induction of chaotic fluctuations in particle dynamics in a uniformly accelerated frame
- The bound on chaos for closed strings in Anti-de Sitter black hole backgrounds
- A quantum mechanical model of the Riemann zeros
- Detector response along null geodesics in black hole spacetimes and in a Friedmann-Lemaitre-Robertson-Walker Universe
- Near horizon symmetries, emergence of Goldstone modes and thermality
- Gravitational surface Hamiltonian and entropy quantization
- Fluctuation-Dissipation relation from anomalous stress tensor and Hawking effect
Cited by in corpus (26)
- Chaos of Particle Motion near the Black Hole with Quasi-topological Electromagnetism
- Verifying the upper bound on the speed of scrambling with the analogue Hawking radiation of trapped ions
- Near horizon local instability and quantum thermality
- Acceleration radiation of an atom freely falling into a Kerr black hole and near-horizon conformal quantum mechanics
- Fokker-Planck equation for black holes in thermal potential
- Angular momentum and chaos bound of charged particles around Einstein-Euler-Heisenberg AdS black holes
- Closed Timelike Curves, Singularities and Causality: A Survey from Gödel to Chronological Protection
- Extracting classical Lyapunov exponent from one-dimensional quantum mechanics
- Thermodynamic Stability Versus Chaos Bound Violation in D-dimensional RN Black Holes: Angular Momentum Effects and Phase Transitions
- Chaotic motion of scalar particle coupling to Chern-Simons invariant in Kerr black hole spacetime
- Quantum corrections enhance chaos: study of particle motion near a generalized Schwarzschild black hole
- Circular string in a Black p-brane leading to chaos
- Horizon thermalization of Kerr black hole through local instability
- Spectral Properties of the Symmetry Generators of Conformal Quantum Mechanics: A Path-Integral Approach
- Near-horizon chaos beyond Einstein gravity
- Temporal and spatial chaos in the Kerr-AdS black hole in an extended phase space
- Analog de Sitter universe in quantum Hall systems with an expanding edge
- Conformal quantum mechanics of causal diamonds: Time evolution, thermality, and instability via path integral functionals
- Atom-field dynamics in curved spacetime
- Thermalization of horizon through asymptotic symmetry in three-dimensional massive gravity
- Thermal behavior of a radially deformed black hole spacetime
- Chaotic Dynamics in Extremal Black Holes: A Challenge to the Chaos Bound
- BMS Goldstone modes near the horizon of a Kerr black hole are thermal
- Spinning Black Hole in a Fluid
- Thermal nature of a generic null surface
- Analogous Hawking Radiation in Butterfly Effect