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Recorded: 2023/03/03 Released: 2023/04/23
Jim talks with Antony Valentini about the status of the Born Rule in quantum gravity. In particular, it doesn't work. Since the wavefunction cannot be normalized in quantum gravity, there is no way to interpret Ψ as the knowledge of the observer about the quantum system. Instead, some realist interpretation of the wavefunction is required. In this regard, Jim and Anotony also discuss the de Broglie-Bohm interpretation in light of quantum gravity.
------------------------------------------- Notes:
1. The articles that we discussed in this program:
- Valentini, A., "Beyond the Born Rule in Qunatum Gravity." Found. Phys. 53, 6 (2023) [arXiv]
- Valentini, A., "Beyond the Quantum." Physics World 22, 32 (2009) [arXiv]
- Valentini, A., "Quantum Gravity and Quantum Probability." (2021) [arXiv]
- Kiefer, C. and T. Singh, "Quantum Gravitational Ccorrections to the Functional Schrödinger Equation." Phys. Rev. D 44 1067 (1991).
- Kiefer, C. and P. Peter, "Time in Quantum Cosmology." Universe 8 36 (2022). [arXiv].
- Bohm, D. "A Suggested Interpretation of Quantum Theory in Terms of 'Hidden' Variables I." Phys. Rev. 85, 166 (1952).
- Bohm, D. "A Suggested Interpretation of Quantum Theory in Terms of 'Hidden' Variables II." Phys. Rev. 85, 180 (1952).
- Holland, P. R., The Quantum Theory of Motion: an Account of the de Broglie-Bohm Causal Interpretation of Quantum Mechanics. Cambridge, 1993. [Amazon]
- Anderson, E., The Problem of Time: Quantum Mechanics Versus General Relativity. Springer, 2017. [Amazon]
- Valentini, A., "The Born Rule Unstable in Quantum Gravity." Perimeter Institute, February 15th, 2018.>
- Valentini, A., "Quantum Gravity and Quantum Probability." Quantum Limits of Knowledge Conference, 2021.
- Physics Frontiers 71: The Primordial Graviton Background
- Physics Frontiers 64: Teh Born Rule
- Physics Frontiers 51: Gravitational Wave Astronomy
- Physics Frontiers 2: The de Broglie-Bohm Interpretation of Quantum Mechanics
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Very interesting episode! I would love for you to have on Drs. John G. Williamson and Vivian Robinson to discuss their remarkable VSL theory. In brief they argue, "The nature of this spacetime distortion — the mechanism by which gravity occurs — is that the presence of mass induces changes in the electric permittivity (ε0) of the free space surrounding it. (It similarly induces changes in the magnetic permeability (μ0) of space. These two properties are related to the speed of light (c) in a fixed ratio, as determined by Maxwell, and given by the equation c2 = 1/ε0μ0.) For convenience, μ0 is set at a fixed value." Very eager to hear your comments.
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