232
Linde, interview with author, January 10,2008.
233
S. W. Hawking, “The Cosmological Constant,” Philosophical Transactions of the Royal Society A. 310 (1983): 303–310.
234
Kleban, interview with author, January 17, 2008.
235
Steven B. Giddings, “The Fate of Four Dimensions,” Physical Review D. 68 (2003).
236
Текст этого и последующих комментариев до конца Главы 12 отсутствует в издании. Похоже, что и комментарии с начала этой главы неверны (прим. Vadi)
237
То же.
238
То же.
239
То же.
240
То же.
241
То же.
242
То же.
243
То же.
244
То же.
245
То же.
246
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).
252
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.
263
Nicolai Reshetikhin (University of California, Berkeley), interview with author, June 5, 2008.
264
Robbert Dijkgraaf (University of Amsterdam), interview with author, February 8, 2007.
265
Brian Greene, The Elegant Universe (New York: Vintage Books, 2000), p. 210.
266
Andrew Strominger (Harvard University), interview with author, August 1, 2007.
267
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.
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, 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.
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.