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19942024
most citedThe mathematical basis for deterministic quantum mechanics

102 citations · 725 across the 38 of their papers we have counts for

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18 papers · 1 filter

gr-qc2024

Alternative theory for the quantum black hole and the temperature of its quantum radiation

Gerard t Hooft

A mechanism is found that explains how matter falling into the future event horizon of a black hole leaves information there, which it sends to the past event horizon, and there it…

gr-qc2023★ 1 cited

How an exact discrete symmetry can preserve black hole information or Turning a black hole inside out

Gerard t Hooft

To apply the laws of General Relativity to quantum black holes, one first needs to remove the horizon singularity by means of Kruskal-Szekeres coordinates. This however doubles spa…

gr-qc2022★ 2 cited

Quantum clones inside black holes

Gerard t Hooft

A systematic procedure is proposed for better understanding the evolution laws of black holes in terms of pure quantum states. We start with the two opposed regions I and II in the…

gr-qc2021

The Black Hole Firewall Transformation and Realism in Quantum Mechanics

Gerard t Hooft

A procedure to derive a unitary evolution law for a quantised black hole, has been proposed by the author. The proposal requires that one starts off with the entire Penrose diagram…

gr-qc2019★ 5 cited

The quantum black hole as a theoretical lab, a pedagogical treatment of a new approach

Gerard t Hooft

Getting the mathematical rules for quantised black holes correctly is far from straightforward. Many earlier treatises got it not quite correctly. The general relativistic transfor…

gr-qc2018★ 4 cited

Discreteness of Black Hole Microstates

Gerard `t Hooft

It is explained that, for black holes much heavier than the Planck mass, black hole microstates can be well understood without string theory. It is essential to understand the anti…

gr-qc2018★ 3 cited

What happens in a black hole when a particle meets its antipode

Gerard t Hooft

The notion of antipodal identification on the black hole horizon is further explained and elaborated. Contrasting with numerous attempts in the literature to make fuzzy, poorly mot…

gr-qc2016★ 33 cited

The Quantum Black Hole as a Hydrogen Atom: Microstates Without Strings Attached

Gerard t Hooft

Applying an expansion in spherical harmonics, turns the black hole with its microstates into something about as transparent as the hydrogen atom was in the early days of quantum me…

gr-qc2010★ 40 cited

The Conformal Constraint in Canonical Quantum Gravity

Gerard 't Hooft

Perturbative canonical quantum gravity is considered, when coupled to a renormalizable model for matter fields. It is proposed that the functional integral over the dilaton field s…

gr-qc2010★ 39 cited

Probing the small distance structure of canonical quantum gravity using the conformal group

Gerard 't Hooft

In canonical quantum gravity, the formal functional integral includes an integration over the local conformal factor, and we propose to perform the functional integral over this fa…

gr-qc2009★ 13 cited

Quantum gravity without space-time singularities or horizons

Gerard 't Hooft

In an attempt to re-establish space-time as an essential frame for formulating quantum gravity - rather than an "emergent" one -, we find that exact invariance under scale transfor…

gr-qc2006★ 27 cited

The black hole horizon as a dynamical system

Gerard 't Hooft

Interactions between outgoing Hawking particles and ingoing matter are determined by gravitational forces and Standard Model interactions. In particular the gravitational interacti…

gr-qc2006★ 43 cited

Invariance under complex transformations, and its relevance to the cosmological constant problem

Gerard 't Hooft, Stefan Nobbenhuis

In this paper we study a new symmetry argument that results in a vacuum state with strictly vanishing vacuum energy. This argument exploits the well-known feature that de Sitter an…

gr-qc2005★ 8 cited

The holographic mapping of the Standard Model onto the black hole horizon, Part I: Abelian vector field, scalar field and BEH Mechanism

G. 't Hooft

Interactions between outgoing Hawking particles and ingoing matter are determined by gravitational forces and Standard Model interactions. In particular the gravitational interacti…

gr-qc1997★ 3 cited

Distinguishing causal time from Minkowski time and a model for the black hole quantum eigenstates

G. 't Hooft

A discussion is presented of the principle of black hole com- plementarity. It is argued that this principle could be viewed as a breakdown of general relativity, or alternatively,…

gr-qc1996

Quantization of Space and Time in 3 and in 4 Space-time Dimensions

G. 't Hooft

The fact that in Minkowski space, space and time are both quantized does not have to be introduced as a new postulate in physics, but can actually be derived by combining certain f…

gr-qc1995★ 3 cited

Quantum information and information loss in General Relativity

G. 't Hooft

When it comes to performing thought experiments with black holes, Einstein-Bohr like discussions have to be re-opened. For instance one can ask what happens to the quantum state of…

gr-qc1994★ 8 cited

Horizon Operator Approach to Black Hole Quantization

G. 't Hooft

The -matrix Ansatz for the construction of a quantum theory of black holes is further exploited. We first note that treating the metric tensor $g_{\m\n}$ as an operator rather t…