Horizons and the Thermal Harmonic Oscillator
M. Cadoni
TL;DR
This paper establishes a holographic correspondence between AdS_2 spacetime and simple mechanical systems like the harmonic oscillator and free particle, revealing thermal properties when horizons are present.
Contribution
It demonstrates a novel holographic link between AdS_2 and mechanical systems, including the thermal harmonic oscillator associated with horizons.
Findings
AdS_2 corresponds to the harmonic oscillator and free particle holographically.
Presence of a horizon in AdS_2 implies a thermal harmonic oscillator.
The temperature of the thermal oscillator matches the Hawking temperature.
Abstract
We show that two-dimensional anti-de Sitter spacetime (AdS_2) can be put in correspondence, holographically, both with the harmonic oscillator and the free particle. When AdS_2 has an horizon the corresponding mechanical system is a thermal harmonic oscillator at temperature given by the Hawking temperature of the horizon.
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