The Born Rule and Gravity with Antony Valentini

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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]

2. Some other articles mentioned in the podcast:

• 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).

3. Books mentioned in the podcast:

• 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]

4. Antony's lectures mentioned in the discussion:

• 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.

5. Related Episodes of Physics Frontiers:

• 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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