Connecting the Dots: Mott for Emulsions, Collapse Models, Colored Noise, Frame Dependence of Measurements, Evasion of the “Free Will Theorem”
We review the argument that latent image formation is a measurement in which the state vector collapses, requiring an enhanced noise parameter in objective reduction models. Tentative observation of a residual noise at this level, plus several experimental bounds, imply that the noise must be colored (i.e., non-white), and hence frame dependent and non-relativistic. Thus a relativistic objective reduction model, even if achievable in principle, would be incompatible with experiment; the best one can do is the non-relativistic CSL model. This negative conclusion has a positive aspect, in that the non-relativistic CSL reduction model evades the argument leading to the Conway–Kochen “Free Will Theorem”.
KeywordsMott Emulsions Collapse models Non-white noise Colored noise Fame dependence Measurements in quantum theory Free Will Theorem
I wish to thank Angelo Bassi, Jeremy Bernstein, Jerry Finkelstein, Shan Gao, Si Kochen, and Andrea Vinante for stimulating conversations and/or email correspondence about the mysteries of quantum measurement. This work was performed in part at the Aspen Center for Physics, which is supported by the National Science Foundation under Grant No. PHY-1607611.
- 2.Adler, S.L.: Mott Simplified, unpublished notes posted at https://www.sns.ias.edu/sites/default/files/files/mott_simplified(1).pdf
- 5.Pearle, P.: Collapse models. In: Breuer, H.-P., Petruccione, F. (eds.) Open Systems and Measurements in Relativistic Quantum Field Theory. Lecture Notes in Physics, vol. 526. Springer, Berlin (1999)Google Scholar
- 8.Adler, S.L.: Gravitation and the noise needed in objective reduction models. In: Bell, M., Gao, S. (eds.) Quantum Nonlocality and Reality: 50 Years of Bell’s Theorem. Cambridge University Press, Cambridge (2016)Google Scholar
- 15.Bahrami, M.: Testing collapse models by a thermometer. Phys. Rev. A 97, 052118 (2018), gives an equivalent formula which can be rewritten in the form of Eq. 7Google Scholar
- 16.Pearle, P.: Relativistic dynamical collapse model. Phys. Rev. A 91, 105012 (2015)Google Scholar
- 17.Bedingham, D.J.: Collapse models and spacetime symmetries. In: Gao, S. (ed.) Collapse of the Wave Function: Models, Ontology, Origin, and Implications. Cambridge Univesity Press, Cambridge (2018)Google Scholar
- 21.Gao, S.: The Meaning of the Wave Function: In Search of the Ontology of Quantum Mechanics. Cambridge University Press, Cambridge (2017), Sec. 9.3Google Scholar
- 24.Kochen, S.: Born’s rule, EPR, and the Free Will theorem. arXiv:1710.00868