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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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13 papers · 1 filter

hep-th2023

Quantum Foundations as a Guide for Refining Particle Theories

Gerard t Hooft

All quantum field theories that describe interacting bosonic elementary particles, share the feature that the zeroth order perturbation expansion describes non-interacting harmonic…

hep-th2016

Nature's Book Keeping System

Gerard t Hooft

Establishing how one should describe and study natures fundamental degrees of freedom is a notoriously difficult problem. It is tempting to assume that the number of bits (or qubit…

hep-th2012★ 15 cited

Discreteness and Determinism in Superstrings

Gerard 't Hooft

Ideas presented in two earlier papers are applied to string theory. It had been found that a deterministic cellular automaton in one space- and one time dimension can be mapped ont…

hep-th2007★ 58 cited

Unitarity in the Brout-Englert-Higgs Mechanism for Gravity

Gerard 't Hooft

Just like the vector bosons in Abelian and non-Abelian gauge theories, gravitons can attain mass by spontaneous local symmetry breaking. The question is whether this can happen in…

hep-th2007★ 1 cited

The Grand View of Physics

Gerard 't Hooft

Abdus Salam was known for his `grand views', grand views of science as well as grand views of society. In this talk the grand view of theoretical physics is put in perspective.

hep-th2007★ 38 cited

Emergent Quantum Mechanics and Emergent Symmetries

Gerard 't Hooft

Quantum mechanics is 'emergent' if a statistical treatment of large scale phenomena in a locally deterministic theory requires the use of quantum operators. These quantum operators…

hep-th2004★ 3 cited

Minimal Strings for Baryons

Gerard 't Hooft

A simple model is discussed in which baryons are represented as pieces of open string connected at one common point. There are two surprises: one is that, in the conformal gauge, t…

hep-th2004★ 13 cited

Renormalization without infinities

Gerard 't Hooft

Most renormalizable quantum field theories can be rephrased in terms of Feynman diagrams that only contain dressed irreducible 2-, 3-, and 4-point vertices. These irreducible verti…

hep-th2001★ 22 cited

Quantum Mechanics and Determinism

Gerard 't Hooft

It is shown how to map the quantum states of a system of free scalar particles one-to-one onto the states of a completely deterministic model. It is a classical field theory with a…

hep-th2001★ 11 cited

How Does God Play Dice? (Pre-)Determinism at the Planck Scale

Gerard 't Hooft

In deterministic theories, one can start from a set of ontological states to formulate the dynamical laws, but these may not be directly observable. Observable are only equivalence…

hep-th2001★ 10 cited

Determinism in Free Bosons

Gerard 't Hooft

It is shown how to map the quantum states of a system of free Bose particles one-to-one onto the states of a completely deterministic model. It is a classical field theory with a l…

hep-th2000★ 11 cited

Determinism and Dissipation in Quantum Gravity, Erice lecture

Gerard 't Hooft

Without invalidating quantum mechanics as a principle underlying the dynamics of a fundamental theory, it is possible to ask for even more basic dynamical laws that may yield quant…

hep-th1998★ 3 cited

Topological Aspects of Quantum Chromodynamics

Gerard 't Hooft

Absolute confinement of its color charges is a natural property of gauge theories such as quantum chromodynamics. On the one hand, it can be attributed to the existence of color-ma…