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arXiv · 1605.06617

Global and Local Horizon Quantum Mechanics

R. Casadio·A. Giugno·A. Giusti
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Abstract

Horizons are classical causal structures that arise in systems with sharply defined energy and corresponding gravitational radius. A global gravitational radius operator can be introduced for a static and spherically symmetric quantum mechanical matter state by lifting the classical "Hamiltonian" constraint that relates the gravitational radius to the ADM mass, thus giving rise to a "horizon wave-function". This minisuperspace-like formalism is shown here to be able to consistently describe also the local gravitational radius related to the Misner-Sharp mass function of the quantum source, provided its energy spectrum is determine by spatially localised modes.

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R. Casadio, A. Giugno, A. Giusti. 2017-01-14. Global and Local Horizon Quantum Mechanics. https://doi.org/10.1007/s10714-017-2198-7

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