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To Quantize or Not to Quantize: Fact and Folklore in Quantum Gravity

Published online by Cambridge University Press:  01 January 2022

Abstract

Does the need to find a quantum theory of gravity imply that the gravitational field must be quantized? Physicists working in quantum gravity routinely assume an affirmative answer, often without being aware of the metaphysical commitments that tend to underlie this assumption. The ambition of this article is to probe these commitments and to analyze some recently adduced physical—as opposed to metaphysical—arguments pertinent to the issue of quantization. While there exist good reasons to quantize gravity, as this analysis will show, alternative approaches to gravity challenge the received wisdom. These renegade approaches do not regard gravity as a fundamental force, but rather as effective, i.e., as merely supervening on fundamental physics. I will urge that these alternative accounts at least prove the tenability of an opposition to quantization.

Type
Quantum Mechanics
Copyright
Copyright © The Philosophy of Science Association

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Footnotes

I wish to thank John Earman, Florian Girelli, John Moffat, Carlo Rovelli and Danny Terno for discussions. This work was supported by the Swiss National Science Foundation (grant PBSK1-102693).

References

Bardeen, James M., Carter, Brandon, and Hawking, Stephen W. (1973), “The Four Laws of Black Hole Mechanics”, The Four Laws of Black Hole Mechanics 31:161170.Google Scholar
Boucher, Wayne, and Taschen, Jennie (1988), “Semiclassical Physics and Quantum Fluctuations”, Semiclassical Physics and Quantum Fluctuations 37:35223532.Google ScholarPubMed
Callender, Craig, and Huggett, Nick, eds. (2001a), Physics Meets Philosophy at the Planck Scale: Contemporary Theories in Quantum Gravity. Cambridge: Cambridge University Press.CrossRefGoogle Scholar
Callender, Craig, and Huggett, Nick (2001b), “Why Quantize Gravity (or Any Other Field for That Matter)?”, Why Quantize Gravity (or Any Other Field for That Matter)? 68 (Proceedings): S382S394.Google Scholar
Doplicher, Sergio, Fredenhagen, Klaus, and Roberts, John E. (1995), “The Quantum Structure of Spacetime at the Planck Scale and Quantum Fields”, The Quantum Structure of Spacetime at the Planck Scale and Quantum Fields 172:187220.Google Scholar
Eppley, Kenneth, and Hannah, Eric (1977), “The Necessity of Quantizing the Gravitational Field”, The Necessity of Quantizing the Gravitational Field 7:5168.Google Scholar
Jacobson, Ted (1995), “Thermodynamics of Spacetime: The Einstein Equation of State”, Thermodynamics of Spacetime: The Einstein Equation of State 75:12601263.Google ScholarPubMed
Lorentz, Hendrik A. ([1899] 1900), “Considerations on Gravitation”, Koninklijke Akademie van Wetenschappen te Amsterdam: Proceedings 2: 559574. Reprint. Originally published as “Beschouwingen over de zwaartekracht”, Koninklijke Akademie van Wetenschappen te Amsterdam: Verslagen van de Gewone Vergaderingen 8:603–620.Google Scholar
Mattingly, James (2005), “Is Quantum Gravity Necessary?”, in Kox, A. J. and Eisenstaedt, Jean (eds.), The Universe of General Relativity. Boston: Birkhäuser, 327338.CrossRefGoogle Scholar
Peres, Asher, and Terno, Daniel R. (2001), “Hybrid Classical-Quantum Dynamics”, Hybrid Classical-Quantum Dynamics 63: 022101.Google Scholar
Sakharov, Andrei D. ([1967/68] 2000), “Vacuum Quantum Fluctuations in Curved Space and the Theory of Gravitation”, Vacuum Quantum Fluctuations in Curved Space and the Theory of Gravitation 32:365367. Reprint. Originally published in Doklady Akademii Nauk SSSR 177(1967): 70–71 and in Soviet Physics Doklady 12(1968): 365–367.Google Scholar
Snyder, Hartland S. (1947), “Quantized Space-Time”, Quantized Space-Time 71:3841.Google Scholar
Terno, Daniel R. (2006), “Inconsistency of Quantum-Classical Dynamics, and What It Implies”, Inconsistency of Quantum-Classical Dynamics, and What It Implies 36:102111.Google Scholar
Visser, Matt (2002), “Sakharov’s Induced Gravity; a Modern Perspective”, Sakharov’s Induced Gravity; a Modern Perspective 17:977992.Google Scholar