Теория струн и скрытые измерения Вселенной
Шрифт:
[96] Ibid.
[97] Doron Gepner, interview with author, August 19, 2008.
[98] B. R. Greene and M. R. Plesser, “Duality in Calabi-Yau Moduli Space,” Nuclear Physics В338 (1990): 15–37.
[99] Brian Greene, The Elegant Universe(New York: Vintage Books, 2000), p. 258.
[100] Plesser, interview with author, September 19, 2008.
[101] Greene, interview with author, March 11, 2010.
[102] Greene, T he Elegant Universe, p. 259.
[103] Cumrun Vafa (Harvard University), interview with author, September 19, 2008.
[104] Greene, interview with author, March 13, 2010.
[105] Mark Gross (UCSD), interview with author, October 31, 2008.
[106] Andreas Gathmann (University of Kaiserslautern), interview with author, August 25, 2008.
[107] David Hilbert, “Mathematical Problems,” lecture, International Congress of Mathematicians, Paris, 1900,(html version prepared by David Joyce, Mathematics Department, Clark University, Worcester, Mass.).
[108] Andreas Gathmann, “Mirror Principle I,” Mathematical Reviews, MR1621573, 1999.
[109] David Cox (Amherst College), interview with author, June 13, 2008.
[110] Andrew Strominger (Harvard University), interview with author, February 7, 2007.
[111] Gross, interview with author, September 19, 2008.
[112] Ibid.
[113] Gross, interview with author, September 24, 2008.
[114] Eric Zaslow (Northwestern University), interview with author, June 26, 2008.
[115] Gross, interview with author, September 24, 2008.
[116] Mark Gross, e-mail letter to author, September 29, 2008.
[117] Strominger, interview with author, August 1, 2007.
[118] Zaslow, interview with author, June 26, 2008.
[119] Gross, interview with author, September 19, 2008.
[120] Yan Soibelman (Kansas State University), interview with author, September 26, 2008.
[121] Aspinwall, interview with author, June 23, 2008.
[122] Michael Douglas (Stony Brook University), interview with author, August 20, 2008.
[123] Aspinwall, interview with author, June 23, 2008.
[124] Gross, interview with author, September 24, 2008.
[125] Avi Loeb (Harvard University), interview with author, September 25,2008.
[126] American Mathematical Society, “Interview with Heisuke Hironaka,” Notices of the AMS52, no. 9 (October 2005): 1,015.
[127] Steve Nadis, “Cosmic Inflation Comes of Age,” Astronomy(April 2002).
[128] Andrew Strominger, “String Theory, Black Holes, and the Fundamental Laws of Nature,” lecture, Harvard University, Cambridge, Mass., April 4, 2007.
[129] Ibid.
[130] Hirosi Ooguri (California Institute of Technology), interview with author, October 8, 2008.
[131] Strominger, lecture.
[132] Andrew Strominger and Cumrun Vafa, “Microscopic Origin of the Bekenstein-Hawking Entropy,” Physics Letters В379 (June 27, 1996): 99-104.
[133] Andrew Strominger, quoted in Gary Taubes, “Black Holes and Beyond,” Science Watch, May/June 1999, http://archive.sciencewatch.com/may-june99/sw_may-june99_page3.htm.
[134] Hirosi Ooguri, interview with author, October 8, 2008.
[135] Strominger, quoted in Taubes, “Black Holes and Beyond.”
[136] Xi Yin (Harvard University), interview with author, October 14, 2008.
[137] Ibid.
[138] Xi Yin, interview with author, October 22, 2008.
[139] Frederik Denef (Harvard University), interview with author, August 26, 2008.
[140] Xi Yin, interview with author, October 14, 2008.
[141] Aaron Simons, interview with author, February 9, 2007.
[142] Ibid.
[143] J. M. Maldacena, A. Strominger, and E. Witten, “Black Hole Entropy in M-Theory” Journal of High Energy Physics9712 (1997), http://arxiv.org/PS_cache/hepth/pdf/9711/9711053vl.pdf.
[144] Juan Maldacena (IAS), interview with author, September 4, 2008.
[145] Hirosi Ooguri, Andrew Strominger, and Cumrun Vafa, “Black Hole Attractors and the Topological String,” Physical Review D70 (2004).
[146] Cumrun Vafa (Harvard University), interviewwith author, September 26, 2008.
[147] James Sparks (Harvard University), interview with author, February 6, 2007.
[148] Amanda Gefter, “The Elephant and the Event Horizon,” New Scientist(October 26,2006): 36–39.
[149] John Preskill, “On Hawking’s Concession,” July 24, 2004, http://www.theory.caltech.edu/~preskill/jp_24jul04.html.
[150] Andrew Strominger (Harvard University), interview with author, February 7, 2007.
[151] Juan Maldacena, “The Illusion of Gravity,” Scientific American, November 2005, pp. 57–58, 61.
[152] Davide Castelvecchi, “Shadow World,” Science News172 (November 17,2007).
[153] Taubes, “Black Holes and Beyond.”
[154] L. Frank Baum, The Wizard of Oz(Whitefish, Mont.: Kessinger, 2004), p. 111.
[155] Volker Braun (Dublin Institute for Advanced Studies), interview with author, November 4, 2008.
[156] Philip Candelas (Oxford University), interview with author, December 1, 2008.
[157] Ibid.
[158] Andrew Strominger (Harvard University), interview with author, February 7, 2007.