# The Black hole horizon as a quantum surface

@article{Hooft1991TheBH, title={The Black hole horizon as a quantum surface}, author={Gerard 't Hooft}, journal={Physica Scripta}, year={1991}, volume={1991}, pages={247-252} }

In previous work it was argued why it is practically inevitable to assume the existence of an S-matrix that describes particle absorption and production by a black hole, and the relationship between this S-matrix and string theory was derived. The physical interpretation of the corresponding mathematical expressions however is quite different from string theory. We have an algebra of operators now defined on a two-dimensional Euclidean "world sheet". The algebra simplifies if one restricts it…

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## References

SHOWING 1-10 OF 19 REFERENCES

Strings from gravity

- Physics
- 1987

The quantum properties of black holes are compared with those of elementary and composite particles. As argued before by this author, it is desirable to search for a theory of black holes in which…

Notes on black-hole evaporation

- Physics
- 1976

This paper examines various aspects of black-hole evaporation. A two-dimensional model is investigated where it is shown that using fermion-boson cancellation on the stress-energy tensor reduces the…

Which Topological Features of a Gauge Theory Can Be Responsible for Permanent Confinement

- Physics
- 1980

In the previous lecture a simple gauge model was considered with a scalar field doublet ξ. Perturbation expansion was considered not about the point ξ = o but about the “vacuum value”
…

Path Integral Derivation of Black Hole Radiance

- Physics
- 1976

The Feynman path-integral method is applied to the quantum mechanics of a scalar particle moving in the background geometry of a Schwarzschild black hole. The amplitude for the black hole to emit a…

Breakdown of Predictability in Gravitational Collapse

- Physics
- 1976

The principle of equivalence, which says that gravity couples to the energy-momentum tensor of matter, and the quantum-mechanical requirement that energy should be positive imply that gravity is…

Cosmological Event Horizons, Thermodynamics, and Particle Creation

- Physics
- 1977

It is shown that the close connection between event horizons and thermodynamics which has been found in the case of black holes can be extended to cosmological models with a repulsive cosmological…