Теория струн и скрытые измерения Вселенной

[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 Geometry56 (2000): 381–579.

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

[271] Michael Atiyah, “Pulling the Strings,” Nature438 (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, Discoveronline 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,” Science266 (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.