Теория струн и скрытые измерения вселенной - Яу Шинтан - Страница 107

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Текст этого и последующих комментариев до конца Главы 12 отсутствует в издании. Похоже, что и комментарии с начала этой главы неверны (прим. Vadi)

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То же.

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То же.

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То же.

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То же.

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То же.

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То же.

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То же.

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То же.

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То же.

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То же.

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То же.

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То же.

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То же.

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То же.

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Peter Goddard, ed., Paul Dirac: The Man and His Work (New York: Cambridge University Press, 1998).

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Eugene Wigner, “The Unreasonable Effectiveness of Mathematics in the Natural Sciences,” Communications in Pure and Applied Mathematics 13 (February 1960).

253

Chen Ning Yang, S. S. Chem: A Great Geometer of the 20th Century (Boston: International Press, 1998), p. 66.

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Robert Osserman, Poetry of the Universe (New York: Anchor Books, 1996), pp. 142–143.

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Richard P. Feynman, The Character of Physical Law (New York: Modern Library, 1994), p. 50.

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Michael Atiyah, quoted in Patricia Schwarz, “Sir Michael Atiyah on Math, Physics and Fun,” The Official String Theory Web site, http://www.superstringtheory.com/people/atiyah.html.

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Jim Holt, “Unstrung,” New Yorker, October 2, 2006, p. 86.

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Michael Atiyah, “Pulling the Strings,” Nature 438 (December 22–29, 2005): 1,081.

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Robert Mills, “Beauty and Truth,” in Chen Ning Yang: A Great Physicist of the 20th Century, ed. Shing-Tung Yau and C. S. Liu (Boston: International Press, 1995), p. 199.

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Henry Tye (Cornell University), e-mail letter to author, December 19, 2008.

261

Brian Greene, interview by Ira Flatow, “Big Questions in Cosmology,” Science Friday, NPR, April 3, 2009.

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К. C. Cole, “A Theory of Everything,” New York Times Magazine, October 18, 1987.

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Nicolai Reshetikhin (University of California, Berkeley), interview with author, June 5, 2008.

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Robbert Dijkgraaf (University of Amsterdam), interview with author, February 8, 2007.

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Brian Greene, The Elegant Universe (New York: Vintage Books, 2000), p. 210.

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Andrew Strominger (Harvard University), interview with author, August 1, 2007.

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S. Ramanujan, “On Certain Arithmetic Functions,” Transactions of the Cambridge Philosophical Society 22 (1916): 159–184.

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Lothar Goettsche, “A Conjectural Generating Function for Numbers of Curves on Surfaces,” November II, 1997, arXiv.org, Cornell University archives, http://arxiv.org/PS_cache/alg-geom/pdf/9711/9711012vl.pdf.

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Ai-Ko Liu, “Family Blowup Formula, Admissible Graphs and the Enumeration of Singular Curves, I,” Journal of Differential Geometry 56 (2000): 381–579.

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Bong Lian (Brandeis University), interview with author, December 12, 2007.

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Michael Atiyah, “Pulling the Strings,” Nature 438 (December 22–29, 2005): 1,082.

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Glennda Chui, “Wisecracks Fly When Brian Greene and Lawrence Krauss Tangle Over String Theory,” Symmetry 4 (May 2007): 17–21.

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Sean Carroll, “String Theory: Not Dead Yet,” Cosmic Variance blog, Discover online magazine, May 24,2007, http://cosmicvariance.com.

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Edward Witten, quoted in К. C. Cole, “A Theory of Everything,” New York Times Magazine, October 18, 1987.

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Ibid.

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Alan Guth (MIT), interview with author, September 13, 2007.

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Brian Greene, The Elegant Universe (New York: Vintage Books, 2000), p. 261.

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Max Tegmark (MIT), interview with author, October 23, 2007.

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Faye Flam, “Getting Comfortable in Four Dimensions,” Science 266 (December 9, 1994): 1, 640.

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Cumrun Vafa (Harvard University), interview with author, January 19, 2007.

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Robbert Dijkgraaf (University of Amsterdam), interview with author, February 8, 2007.

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David Morrison (University of California, Santa Barbara), interview with author, May 27, 2008.

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Allan Adams (MIT), interview with author, May 23, 2008.

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Joe Polchinski (University of California, Santa Barbara), interview with author, August 31, 2007.

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Edward Witten (Institute for Advanced Study), e-mail letter to author, January 30, 2007.

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Adams, interview with author, May 23, 2008.

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Turnbull WWW Server, “Quotations by Gauss,” School of Mathematical Sciences, University of St. Andrews, St. Andrews, Fife, Scotland, February 2006, http://wwwgroups.dcs.st-and.ac.uk/-history/Quotations/Gauss.html.

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Ibid.

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Brian Greene, “String Theory on Calabi-Yau Manifolds,” lectures given at Theoretical Advanced Study Institute, 1996 session (TASI-96), Boulder, June 1996.

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К. C. Cole, “Time, Space Obsolete in New View of Universe,” Los Angeles Times, November 16, 1999.

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Andrew Strominger (Harvard University), interview with author, August 1, 2007.

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Morrison, interview with author, May 29, 2008.

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Brian Greene, Elegant Universe (New York: Vintage Books, 2000), pp. 268, 273.

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Paul Aspinwall (Duke University), interview with author, June 6, 2008.

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Morrison, interview with author, May 27, 2008.

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Andrew Strominger (Harvard University), February 7, 2007.

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Chris Beasley, Jonathan Heckman, and Cumrun Vafa, “GUTs and Exceptional Branes in F-Theory — I,” November 18, 2008, http://arxiv.org/abs/0802.3391; Chris Beasley, Jonathan Heckman, and Cumrun Vafa, “GUTs and Exceptional Branes in F-Theory — II: Experimental Predictions,” June 12, 2008, http://arxiv.org/abs/arxiv:0806.0102; Ron Donagi and Martijn Wijnholt, “Model Building with F-Theory,” March 3, 2008, http://lanl.arxiv.org/pdf/0802.2969v2; and Ron Donagi and Martijn Wijnholt, “Breaking GUT Groups in F-Theory,” August 17, 2008, http://lanl.arxiv,org/pdf/0808.2223vl.

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Strominger, interview with author, July 23, 2007.

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