Search results for 'Gerard 'T. Hooft' (try it on Scholar)

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  1. Gerard ’T. Hooft (2011). A Class of Elementary Particle Models Without Any Adjustable Real Parameters. Foundations of Physics 41 (12):1829-1856.score: 430.0
    Conventional particle theories such as the Standard Model have a number of freely adjustable coupling constants and mass parameters, depending on the symmetry algebra of the local gauge group and the representations chosen for the spinor and scalar fields. There seems to be no physical principle to determine these parameters as long as they stay within certain domains dictated by the renormalization group. Here however, reasons are given to demand that, when gravity is coupled to the system, local conformal invariance (...)
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  2. Gerard ’T. Hooft (2013). Duality Between a Deterministic Cellular Automaton and a Bosonic Quantum Field Theory in 1+1 Dimensions. Foundations of Physics 43 (5):597-614.score: 290.0
    Methods developed in a previous paper are employed to define an exact correspondence between the states of a deterministic cellular automaton in 1+1 dimensions and those of a bosonic quantum field theory. The result may be used to argue that quantum field theories may be much closer related to deterministic automata than what is usually thought possible.
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  3. Gerard ’T. Hooft (2008). Editorial Note. Foundations of Physics 38 (1):1-2.score: 290.0
  4. Gerard ’T. Hooft (2008). A Locally Finite Model for Gravity. Foundations of Physics 38 (8):733-757.score: 290.0
    Matter interacting classically with gravity in 3+1 dimensions usually gives rise to a continuum of degrees of freedom, so that, in any attempt to quantize the theory, ultraviolet divergences are nearly inevitable. Here, we investigate matter of a form that only displays a finite number of degrees of freedom in compact sections of space-time. In finite domains, one has only exact, analytic solutions. This is achieved by limiting ourselves to straight pieces of string, surrounded by locally flat sections of space-time. (...)
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  5. Gerard ’T. Hooft (2012). The Pursuit of Quantum Gravity. Foundations of Physics 42 (5):685-687.score: 290.0
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  6. Sebastian de Haro, Dennis Dieks, Gerard ’T. Hooft & Erik Verlinde (2013). Forty Years of String Theory Reflecting on the Foundations. Foundations of Physics 43 (1):1-7.score: 290.0
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  7. Gerard ’T. Hooft (2013). On the Foundations of Superstring Theory. Foundations of Physics 43 (1):46-53.score: 290.0
    Superstring theory is an extension of conventional quantum field theory that allows for stringlike and branelike material objects besides pointlike particles. The basic foundations on which the theory is built are amazingly shaky, and, equally amazingly, it seems to be this lack of solid foundations to which the theory owes its strength. We emphasize that such a situation is legitimate only in the development phases of a new doctrine. Eventually, a more solidly founded structure must be sought.Although it is advertised (...)
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  8. Gerard ’T. Hooft (forthcoming). Superstrings and the Foundations of Quantum Mechanics. Foundations of Physics:1-9.score: 290.0
    It is put forward that modern elementary particle physics cannot be completely unified with the laws of gravity and general relativity without addressing the question of the ontological interpretation of quantum mechanics itself. The position of superstring theory in this general question is emphasized: superstrings may well form exactly the right mathematical system that can explain how quantum mechanics can be linked to a deterministic picture of our world. Deterministic interpretations of quantum mechanics are usually categorically rejected, because of Bell’s (...)
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  9. Gerard ’T. Hooft (2014). Relating the Quantum Mechanics of Discrete Systems to Standard Canonical Quantum Mechanics. Foundations of Physics 44 (4):406-425.score: 290.0
    Standard canonical quantum mechanics makes much use of operators whose spectra cover the set of real numbers, such as the coordinates of space, or the values of the momenta. Discrete quantum mechanics uses only strictly discrete operators. We show how one can transform systems with pairs of integer-valued, commuting operators $P_i$ and $Q_i$ , to systems with real-valued canonical coordinates $q_i$ and their associated momentum operators $p_i$ . The discrete system could be entirely deterministic while the corresponding (p, q) system (...)
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  10. Gerard 'T. Hooft (2001). Obstacles on the Way Towards the Quantisation of Space, Time and Matter — and Possible Resolutions. Studies in History and Philosophy of Science Part B 32 (2):157-180.score: 29.0
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  11. Gerard ’T. Hooft (2013). Duality Between a Deterministic Cellular Automaton and a Bosonic Quantum Field Theory in 1+1 Dimensions. Foundations of Physics 43 (5):597-614.score: 29.0
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  12. Gerard ’T. Hooft (2012). The Pursuit of Quantum Gravity. Foundations of Physics 42 (5):685-687.score: 29.0
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  13. Gerard ’T. Hooft (2011). A Class of Elementary Particle Models Without Any Adjustable Real Parameters. Foundations of Physics 41:1829-1856.score: 29.0
  14. Gerard ’T. Hooft (2013). On the Foundations of Superstring Theory. Foundations of Physics 43 (1):46-53.score: 29.0
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  15. Gerard ’T. Hooft (2008). A Locally Finite Model for Gravity. Foundations of Physics 38:733-757.score: 29.0
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  16. Gerard `T. Hooft (1997). Complexity in Quantum Gravity. Complexity 3 (1):36-37.score: 29.0
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  17. Gerard T. Hooft (2008). Naar een herstel van het deterministische wereldbeeld. Algemeen Nederlands Tijdschrift Voor Wijsbegeerte 100 (4).score: 29.0
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