Добавить в цитаты Настройки чтения

Страница 106 из 106



[227] Andrei Linde (Stanford University), interview with author, December 27, 2007.

[228] Giddings, interview with author, October 17, 2007.

[229] Shamit Kachru (Stanford University), interview with author, September 18, 2007.

[230] Linde, interview with author, December 27, 2007.

[231] Henry Tye (Cornell University), interview with author, September 12, 2007.

[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] Gle

[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.


Понравилась книга?

Написать отзыв

Скачать книгу в формате:

Поделиться: