Once I gave a seminar in the Physics Department of Oxford University, entitled "Probing the Planck Scale with Cosmic Neutrinos": https://www2.physics.ox.ac.uk/research/ ... ?date=2011
My seminar was based on the following two papers of mine:
(1) Testing Quantum Gravity via Cosmogenic Neutrino Oscillations: https://journals.aps.org/prd/abstract/1 ... .71.024012
and
(2) Testing Gravity-Driven Collapse of the Wavefunction via Cosmogenic Neutrinos: https://journals.aps.org/prl/abstract/1 ... .95.160403
It is the abstract of the second paper that I find more interesting:
It is pointed out that the Diósi-Penrose ansatz for gravity-induced quantum state reduction can be tested by observing oscillations in the flavor ratios of neutrinos originating at cosmological distances. Since such a test would be almost free of environmental decoherence, testing the ansatz by means of a next-generation neutrino detector such as IceCube would be much cleaner than by experiments proposed so far involving superpositions of macroscopic systems. The proposed microscopic test would also examine the universality of the superposition principle at unprecedented cosmological scales.
The interesting part is the test of the universality of the superposition principle at an unprecedented cosmological scale. It seems to me that a successful hidden variable model such as the one I have proposed in several of my recent papers would require such a modification. The reasons for this are already alluded by Bell in the first chapter of his book. I have also mentioned that in one of my papers refuting Bell's theorem: https://arxiv.org/pdf/1704.02876.pdf.
I would be interested in any opposing views of my conviction that any hidden variable model such as mine would require a modification of the unitary quantum dynamics.
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