102 citations · 725 across the 38 of their papers we have counts for
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The Hidden Ontological Variable in Quantum Harmonic Oscillators
Gerard t Hooft
The standard quantum mechanical harmonic oscillator has an exact, dual relationship with a completely classical system: a classical particle running along a circle. Duality here me…
Explicit construction of Local Hidden Variables for any quantum theory up to any desired accuracy
Gerard t Hooft
The machinery of quantum mechanics is fully capable of describing a single realistic world. Here we discuss the converse: in spite of appearances, and indeed numerous claims to the…
Deterministic Quantum Mechanics: the Mathematical Equations
Gerard t Hooft
Without wasting time and effort on philosophical justifications and implications, we write down the conditions for the Hamiltonian of a quantum system for rendering it mathematical…
The Ontology Conservation Law as an Alternative to the Many World Interpretation of Quantum Mechanics
Gerard t Hooft
A sharper formulation is presented for an interpretation of quantum mechanics advocated by author. As an essential element we put forward conservation laws concerning the ontologic…
Time, the arrow of time, and Quantum Mechanics
Gerard t Hooft
It is brought forward that viable theories of the physical world that have no variable at all that can play the role of time, do not exist; some notion of time is one of the very f…
Entangled quantum states in a local deterministic theory
Gerard 't Hooft
Investigating a class of models that is familiar in studies of cellular automata, we find that quantum operators can be employed to describe their long distance behavior. These ope…
The Free-Will Postulate in Quantum Mechanics
Gerard 't Hooft
The so-called "free will axiom" is an essential ingredient in many discussions concerning hidden variables in quantum mechanics. In this paper we argue that "free will" can be defi…
The mathematical basis for deterministic quantum mechanics
Gerard 't Hooft
If there exists a classical, i.e. deterministic theory underlying quantum mechanics, an explanation must be found of the fact that the Hamiltonian, which is defined to be the opera…
Determinism beneath Quantum Mechanics
Gerard 't Hooft
Contrary to common belief, it is not difficult to construct deterministic models where stochastic behavior is correctly described by quantum mechanical amplitudes, in precise accor…