Probability in GRW theory

Abstract
GRW Theory postulates a stochastic mechanism assuring that every so often the wave function of a quantum system is `hit', which leaves it in a localised state. How are we to interpret the probabilities built into this mechanism? GRW theory is a firmly realist proposal and it is therefore clear that these probabilities are objective probabilities (i.e. chances). A discussion of the major theories of chance leads us to the conclusion that GRW probabilities can be understood only as either single case propensities or Humean objective chances. Although single case propensities have some intuitive appeal in the context of GRW theory, on balance it seems that Humean objective chances are preferable on conceptual grounds because single case propensities suffer from various well know problems such as unlimited frequency tolerance and lack of a rationalisation of the principal principle.
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    References found in this work BETA
    Rob Clifton & Bradley Monton (1999). Losing Your Marbles in Wavefunction Collapse Theories. British Journal for the Philosophy of Science 50 (4):697 - 717.
    Fred I. Dretske (1977). Laws of Nature. Philosophy of Science 44 (2):248-268.
    Adam Elga (2004). Infinitesimal Chances and the Laws of Nature. Australasian Journal of Philosophy 82 (1):67 – 76.

    View all 25 references

    Citations of this work BETA
    Michael Esfeld (2009). The Modal Nature of Structures in Ontic Structural Realism. International Studies in the Philosophy of Science 23 (2):179 – 194.
    Mauricio Suárez (2007). Quantum Propensities. Studies in History and Philosophy of Science Part B 38 (2):418-438.
    Mauricio Suárez (2007). Quantum Propensities. Studies in History and Philosophy of Science Part B 38 (2):418-438.
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