“On notable classmate was Dan Friedan. Friedan stunned me, and I think everyone else, at his Ph. D. seminar, when he showed that Einstein's equation, the basic equation of general relativity, could be interpreted in terms of one of the basic objects in QFT, the β function that governs the energy scale. I did not see what this could possibly mean, but a few years later it showed up as one of the key ideas in string theory.”

— Joseph Polchinski, Memories of a Theoretical Physicist

Memories of a Theoretical Physicist, arXiv preprint arXiv:1708.09093, 2017 https://arxiv.org/abs/1708.09093, (pp. 30–31)

Adopted from Wikiquote. Last update June 3, 2021. History

Help us to complete the source, original and additional information

Do you have more details about the quote "On notable classmate was Dan Friedan. Friedan stunned me, and I think everyone else, at his Ph. D. seminar, when he sho…" by Joseph Polchinski?

Joseph Polchinski photo

Joseph Polchinski3

physicist working on string theory 1954–2018

Related quotes

“I heard that in relativity theory, space and time are the same thing. Einstein discovered this when he kept showing up three miles late for his meetings.”

Steven Wright (1955) American actor and author

“Elegance requires that the number of defining equations be small. Five is better than ten, and one is better than five. On this score, one might facetiously say that String Theory is the ultimate epitome of elegance. With all the years that String Theory has been studied, no one has found even a single defining equation! The number at present count is zero. We know neither what the fundamental equations of the theory are nor even if it has any.”

Leonard Susskind book The Cosmic Landscape

[The Cosmic Landscape: String Theory and the Illusion of Intelligent Design, 2008, Little, Brown, https://books.google.com/books?id=RIW9E1sOyxUC&q=epitome#v=snippet&q=epitome&f=false]

“When an equation…clearly leads to two negative or imaginary roots, [Diophantus] retraces his steps and shows by how by altering the equation, he can get a new one that has rational roots. …Diophantus is a pure algebraist; and since algebra in his time did not recognize irrational, negative, and complex numbers, he rejected equations with such solutions.”

Morris Kline (1908–1992) American mathematician

Source: Mathematical Thought from Ancient to Modern Times (1972), p. 143.

“Someone told me that each equation I included in the book would halve the sales. I therefore resolved not to have any equations at all. In the end, however, I did put in one equation, Einstein's famous equation, E = mc^2. I hope that this will not scare off half of my potential readers.”

Stephen Hawking book A Brief History of Time

A Brief History of Time (1988)

“Jesus could not have imagined such an idea as Albert Einstein's theory of relativity.”

John Shelby Spong (1931) American bishop

Source: Rescuing the Bible from Fundamentalism (1991), p. 25

“One of the many importants ideas introduced by Minkowski into the study of convex bodies was that of gauge function. Roughly, the gauge function is the equation of a convex body. Minkowski showed that the gauge function could be defined in a purely geometric way and that it must have certain properties analogous to those possessed by the distance of a point from the origin. He also showed that conversely given any function possessing these properties, there exists a convex body with the given function as its gauge function.”

Carl Ludwig Siegel (1896–1981) German mathematician

[Lectures on the Geometry of Numbers, https://books.google.com/books?id=dyH4CAAAQBAJ&pg=PA6] (p. 6)

“String theory at its finest is, or should be, a new branch of geometry. …I, myself, believe rather strongly that the proper setting for string theory will prove to be a suitable elaboration of the geometrical ideas upon which Einstein based general relativity.”

Edward Witten (1951) American theoretical physicist

"Edward Witten" interview, Superstrings: A Theory of Everything? (1992) ed. P.C.W. Davies, Julian Brown

“Yesterday when we went over the plan again and again, I never thought about Grandad showing up. Because I'm an idiot, basically--an idiot with poor planning skills. Of course he's here. Where else would he be?

Seriously, what else could go wrong?”

Holly Black book White Cat

Source: White Cat

“Some of the effects predicted by the theory [of loop quantum gravity] appear to be in conflict with one of the principles of Einstein's special theory of relativity… that the speed of light is a universal constant. …Photons of higher energy travel slightly slower than low-energy photons. …the principle of [general] relativity is preserved but Einstein's special theory of relativity requires modification. …A photon can have an energy-dependent speed without violating the principle of [general] relativity!”

Lee Smolin (1955) American cosmologist

"Loop Quantum Gravity," The New Humanists: Science at the Edge (2003)

“Among the problems of the known string theories, as a theory of hadrons, was the fact that the spectrum of open strings contains massless spin 1 particles, and the spectrum of closed strings contains a massless spin 2 particle (as well as other massless particles), but there are no massless hadrons. In 1974, Joël Scherk and I decided to take string theory seriously as it stood, rather than forcing it to conform to our preconceptions. … Specifically, Scherk and Schwarz (1974) proposed trying to interpret string theory as a unified quantum theory of all forces including gravity. Neveu and Scherk (1972) had shown that string theory incorporates the correct gauge invariances to ensure agreement at low energies (compared to the scale given by the string tension) with Yang-Mills theory. Yoneya (1973,1974) and Scherk and Schwarz (1974) showed that it also contains gauge invariances that ensure agreement at low energies with general relativity.”

John Henry Schwarz (1941) American theoretical physicist

[Schwarz, J. H., The early history of string theory and supersymmetry, 2012, https://arxiv.org/abs/1201.0981]

Related topics