“The incompatibility between gravity and quantum coherence represented by black holes should be solved by a consistent quantum theory that contains gravity as superstring theory. Despite many encouraging results in that sense, I question here the general feeling of a naive resolution of the paradox. And indicate non trivial physical possibilities towards its solution that are suggested by string theory and may be further investigated in its context.”

— Daniele Amati

[The information paradox, arXiv preprint arXiv:hep-th/0612061v2, 14 December 2006, http://arxiv.org/abs/hep-th/0612061] (See also Thorne-Hawking-Preskill bet.)

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Daniele Amati 1

Italian physicist 1931

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“The BEH mechanism operates within the context of gauge theories. Despite the fact that grand unification schemes reach scales comparable to the Planck scale, there was, a priori, no indication that Yang-Mills fields offer any insight into quantum gravity. The only approach to quantum gravity that had some success, in particular in the context of a quantum interpretation of the black hole entropies, are the superstring theory approaches and the possible merging of the five perturbative approaches (Type IIA, IIB, Type I and the two heterotic strings) into an elusive M-theory whose classical limit would be 11-dimensional supergravity.”

François Englert (1932) Belgian theoretical physicist

page 19 of [2002, A brief course in spontaneous symmetry breaking ii. modern times: The BEH mechanism, arXiv preprint hep-th/0203097, https://arxiv.org/pdf/hep-th/0203097.pdf]

“String theory was not invented to describe gravity; instead it originated in an attempt to describe the strong interactions, wherein mesons can be thought of as open strings with quarks at their ends. The fact that the theory automatically described closed strings as well, and that closed strings invariably produced gravitons and gravity, and that the resulting quantum theory of gravity was finite and consistent is one of the most appealing aspects of the theory.”

David Gross (1941) American particle physicist and string theorist

"Einstein and the Search for Unification", p. 10 https://books.google.com/books?id=rEaUIxukvy4C&pg=PA10, in The legacy of Albert Einstein: a collection of essays in celebration of the year of physics (2007)

“Combine general relativity and quantum theory into a single theory that can claim to be the complete theory of nature. This is called the problem of quantum gravity.”

Lee Smolin (1955) American cosmologist

The Trouble With Physics: The Rise of String Theory, The Fall of a Science, and What Comes Next (2007)

“Replacing particles by strings is a naive-sounding step, from which many other things follow. In fact, replacing Feynman graphs by Riemann surfaces has numerous consequences: 1. It eliminates the infinities from the theory. …2. It greatly reduces the number of possible theories. …3. It gives the first hint that string theory will change our notions of spacetime. Just as in QCD, so also in gravity, many of the interesting questions cannot be answered in perturbation theory. In string theory, to understand the nature of the Big Bang, or the quantum fate of a black hole, or the nature of the vacuum state that determines the properties of the elementary particles, requires information beyond perturbation theory… Perturbation theory is not everything. It is just the way the [string] theory was discovered.”

Edward Witten (1951) American theoretical physicist

"The Past and Future of String Theory" in The Future of Theoretical Physics and Cosmology: Celebrating Stephen Hawking's Contributions to Physics (2003) ed. G.W. Gibbons, E.P.S. Shellard & S.J. Rankin

“The black hole information paradox is probably the most important issue for fundamental physics today. If we cannot understand its resolution, then we cannot understand how quantum theory and gravity work together. Yet very few people seem to understand how robust the original Hawking arguments are and what exactly it would take to resolve the problem.”

Samir D. Mathur Indian physicist

Mathur, Samir D. "What exactly is the information paradox? http://books.google.com/books?id=RfDUXYSSyA0C&pg=PA3." In Physics of Black Holes, pp. 3–48. Springer, Berlin, Heidelberg, 2009. (quote from p. 3)

“I was joined by Carlo Rovelli, and we were able to make a full-fledged quantum theory of gravity… This became loop quantum gravity.”

Lee Smolin (1955) American cosmologist

"Loop Quantum Gravity," The New Humanists: Science at the Edge (2003)

“String theory has a close relationship to quantum field theory — indeed in some sense it encompasses all interesting quantum field theories.”

Michael Green (physicist) (1946) British physicist

“The last two years have seen the emergence of a beautiful new subject in mathematical physics. It manages to combine a most exotic range of disciplines: two-dimensional quantum field theory, intersection theory on the moduli space of Riemann surfaces, integrable hierarchies, matrix integrals, random surfaces, and many more. The common denominator of all these fields is two-dimensional quantum gravity or, more general, low-dimensional string theory.”

Robbert Dijkgraaf (1960) Dutch mathematical physicist and string theorist

[1992, Intersection Theory, Integrable Hierarchies and Topological Field Theory by Robbert Dijkgraaf, Fröhlich J., ’t Hooft G., Jaffe A., Mack G., Mitter P.K., Stora R. (eds.), New Symmetry Principles in Quantum Field Theory, NATO ASI Series (Series B: Physics), vol. 295, 95–158, Springer, Boston, MA, 10.1007/978-1-4615-3472-3_4]

“Scientific realism in classical (i. e. pre-quantum) physics has remained compatible with the naive realism of everyday thinking on the whole; whereas it has proven impossible to find any consistent way to visualize the world underlying quantum theory in terms of our pictures in the everyday world. The general conclusion is that in quantum theory naive realism, although necessary at the level of observations, fails at the microscopic level.”

Ravi Gomatam (1950) Indian academic

R.Gomatam's paper Physics and Commonsense - Reassessing the connection in the light of the quantum theory http://arxiv.org/abs/0708.1536, 2004.

“If gravity is a fundamental force, then it has to be explained by an expanded version of general relativity, a more complete, a more fundamental theory. Whether that is quantum gravity of something more radical that requires a paradigm shift like, for instance, our research in multiverse theory, nobody knows at the moment.”

Laura Mersini-Houghton (1969) Albanian cosmologist and theoretical physicist

[Why Is Gravity So Elusive? Frank Wilczek, Erik Verlinde, Laura Mersini-Houghton, 4 December 2017, YouTube, https://www.youtube.com/watch?v=7lui9qZ6cDs] 11:20 of 40:44

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