Теория струн и скрытые измерения Вселенной

[23] Chen Ning Yang, “Einstein’s Impact on Theoretical Physics in the 21st Century,” AAPPS Bulletin15 (February 2005).

[24] Greene, The Elegant Universe, p. 72.

[25] Robert Greene (UCLA), interview with author, March 13, 2008.

[26] Lizhen Ji and Kefeng Liu, “Shing-Tung Yau: A Manifold Man of Mathematics,” Proceedings of Geometric Analysis: Present and Future Conference, Harvard University, August 27-September 1, 2008.

[27] Leon Simon (Stanford University), interview with author, February 6, 2008.

[28] Greene, interview with author, March 13, 2008.

[29] Cameron Gordon (University of Texas), interview with author, March 14, 2008.

[30] Robert Geroch (University of Chicago), interview with author, February 28, 2008.

[31] Edward Witten (Institute for Advanced Study), interview with author, March 31, 2008.

[32] Edward Witten, “A New Proof of the Positive Energy Theorem,” Communications in Mathematical Physics80 (1981): 381–402.

[33] Roger Penrose, “Gravitational Collapse: The Role of General Relativity,” 1969, reprinted in Mathematical Intelligencer30 (2008): 27–36.

[34] Richard Schoen (Stanford University), interview with author, January 31, 2008.

[35] Demetrios Christodoulou, The Formation of Black Holes in General Relativity(Zurich: European Mathematical Society, 2009).

[36] John D. S. Jones, “Mysteries of Four Dimensions,” Nature332 (April 7, 1998): 488–489.

[37] Simon Donaldson (Imperial College), interview with author, April 3, 2008.

[38] Faye Flam, “Getting Comfortable in Four Dimensions,” Science 266 (December 9, 1994): 1640.

[39] Ibid.

[40] Mathematical Institute at the University of Oxford, “Chart the Realm of the 4th Dimension,” http://www2.maths.ox.ac.uk/~dusautoy/2soft/4D.htm.

[41] Grisha Perelman, “The Entropy Formula for the Ricci Flow and Its Geometric Applications,” November 11, 2002, http://arxiv.org/abs/math/0211159vl.

[42] Eugenio Calabi (University of Pennsylvania), interview with author, October 18, 2007.

[43] Robert Greene, interview with author, April 17, 2008.

[44] Robert Greene, interview with author, June 24, 2008.

[45] Eugenio Calabi, interview with author, October 18, 2007.

[46] Robert Greene (UCLA), interview with author, January 29, 2008.

[47] Eugenio Calabi (University of Pennsylvania), interview with author, May 14, 2008.

[48] Ibid.

[49] Erwin Lutwak (Polytechnic Institute of NYU), interview with author, May 15, 2008.

[50] Calabi, interview, May 14, 2008.

[51] Eugenio Calabi, interview with author, June 16, 2008.

[52] Ibid.

[53] Eugenio Calabi, interview with author, October 18, 2007.

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

[55] John Schwarz (California Institute of Technology), interview with author, August 13, 2008.

[56] Michael Green (University of Cambridge), e-mail letter to author, August 15, 2008.

[57] John Schwarz, interview with author, August 13, 2008.

[58] Andrew Strominger (Harvard University), interview with author, February 7, 2007.

[59] Andrew Strominger, interview with author, November 1, 2007.

[60] Raman Sundrum (Johns Hopkins University), interview with author, January 25,2007.

[61] Andrew Strominger, interview with author, February 7, 2007.

[62] Dennis Overbye, “One Cosmic Question, Too Many Answers,” New York Times, September 2, 2003.

[63] Juan Maldacena (Princeton University), interview with author, September 9, 2007.

[64] Dan Freed (University of Texas), interview with author, June 24, 2008.

[65] Tristan Hubsch (Howard University), interview with author, August 30, 2008.

[66] Gary Horowitz (University of California, Santa Barbara), interview with author, February 15, 2007.

[67] Eugenio Calabi (University of Pennsylvania), interview with author, October 18, 2007.

[68] Woody Allen, “Strung Out,” New Yorker, July 28, 2003.

[69] Liam McAllister (Cornell University), e-mail letter to author, April 24, 2009.

[70] Allan Adams (MIT), interview with author, August 10, 2007.

[71] Joe Polchinski (University of California, Santa Barbara), interview with author, January 29, 2007.

[72] Brian Greene, The Fabric of the Cosmos(New York: Alfred A. Knopf, 2004), p. 372.

[73] P. Candelas, G. Horowitz, A. Strominger, and E. Witten, “Vacuum Configurations for Superstrings,” Nuclear Physics В258 (1985): 46–74.

[74] Edward Witten (IAS), e-mail letter to author, July 24, 2008.

[75] Volker Braun, Philip Candelas, and Rhys Davies, “A Three-Generation Calabi-Yau Manifold with Small Hodge Numbers,” October 28, 2009, http://arxiv.org/PS_cache/arxiv/pdf/0910/0910.5464vl.pdf.

[76] Dennis Overbye, “One Cosmic Question, Too Many Answers,” New York Times, September 2, 2003.

[77] Dale Glabach and Juan Maldacena, “Who’s Counting?” Astronomy, May 2006, p. 72.

[78] Andrew Strominger, “String Theory, Black Holes, and the Fundamental Laws of Nature,” lecture, Harvard University, Cambridge, Mass., April 4, 2007.

[79] Edward Witten (IAS), e-mail letter to author, July 21, 2008.

[80] Petr Horava (University of California, Berkeley), interview with author, July 6, 2007.

[81] Ibid.

[82] Аллюзия на цитату из поэмы Томаса Стернза Элиота «Полые люди»: «Не взрыв, но всхлип». – Примеч. перев.

[83] Ronen Plesser (Duke University), interview with author, September 3, 2008.

[84] Ibid.

[85] Marcus Grisaru (McGill University), interview with author, August 18, 2008.

[86] Plesser, interview with author, September 3, 2008.

[87] Shamit Kachru (Stanford University), interview with author, August 19, 2008.