Теория струн и скрытые измерения вселенной

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.

276

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

277

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

278

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

279

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.

284

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.

288

Ibid.

289

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

290

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.

292

Morrison, interview with author, May 29, 2008.

293

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,Chris Beasley, Jonathan Heckman, and Cumrun Vafa, “GUTs and Exceptional Branes in F-Theory — II: Experimental Predictions,” June 12, 2008,Ron Donagi and Martijn Wijnholt, “Model Building with F-Theory,” March 3, 2008,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.

299

Cumrun Vafa (Harvard University), interview with author, November 2, 2007.

300

Leonard Mlodinow, Euclid's Mirror (New York: Simon Schuster, 2002), p. 255.

301

Edward Witten (Institute for Advanced Study), e-mail letter to author, February 12, 2007.

302

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

303

Ravi Vakil (Stanford University), interview with author, May 28, 2008.

304

Strominger, interview with author, August 1, 2007.

305

Piers Bursill-Hall, “Why Do We Study Geometry? Answers Through the Ages,” lecture, Faulkes Institute for Geometry, University of Cambridge, May 1, 2002.

306

Donald Zeyl (University of Rhode Island), interview with author, October 18, 2007.