A Model of Wavefunction Collapse in Discrete Space-Time
International Journal of Theoretical Physics 45 (10):1965-1979 (2006)
| Abstract | We give a new argument supporting a gravitational role in quantum collapse. It is demonstrated that the discreteness of space-time, which results from the proper combination of quantum theory and general relativity, may inevitably result in the dynamical collapse of thewave function. Moreover, the minimum size of discrete space-time yields a plausible collapse criterion consistent with experiments. By assuming that the source to collapse the wave function is the inherent random motion of particles described by the wave function, we further propose a concrete model of wavefunction collapse in the discrete space-time. It is shown that the model is consistent with the existing experiments and macroscopic experiences. | |||||||||
| Keywords | collapse of the wave function discrete spacetime | |||||||||
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Pete A. Y. Gunter (2009). Collapse of the Quantum Wave Function. Process Studies 38 (2):304-318.
Valia Allori, Sheldon Goldstein, Roderich Tumulka & and Nino Zanghì (2008). On the Common Structure of Bohmian Mechanics and the Ghirardi–Rimini–Weber Theory: Dedicated to Giancarlo Ghirardi on the Occasion of His 70th Birthday. British Journal for the Philosophy of Science 59 (3):353-389.
C. M. H. Nunn, Christopher J. S. Clarke & B. H. Blott (1994). Collapse of a Quantum Field May Affect Brain Function. Journal of Consciousness Studies 1:127-39.
Peter Forrest (1995). Is Space-Time Discrete or Continuous? — An Empirical Question. Synthese 103 (3):327--354.
Valia Allori, Sheldon Goldstein, Roderich Tumulka & Nino Zanghi (2008). On the Common Structure of Bohmian Mechanics and the Ghirardi-Rimini-Weber Theory. British Journal for the Philosophy of Science 59 (3):353 - 389.
Jean Paul van Bendegem (1995). In Defence of Discrete Space and Time. Logique Et Analyse 38 (150-1):127-150.
Michael Lockwood (1997). As Time Goes By. International Studies in the Philosophy of Science 11 (1):35 – 51.
Michael B. Heaney (2013). A Symmetrical Interpretation of the Klein-Gordon Equation. Foundations of Physics 43 (6):733-746.
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