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.

244

То же.

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То же.

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То же.

247

То же.

248

То же.

249

То же.

250

То же.

251

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.

254

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

255

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

256

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.

257

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

258

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

259

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.

260

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.

262

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.

265

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.

268

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.

269

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

270

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

271

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

272

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

273

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

274

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

275

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.

280

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

281

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

282

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

283

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.

285

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

286

Adams, interview with author, May 23, 2008.

287

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.

291

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.

294

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

295

Morrison, interview with author, May 27, 2008.

296

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

297

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.

298

Strominger, interview with author, July 23, 2007.