“In both quantum theory and general relativity, we encounter predictions of physically sensible quantities becoming infinite. This is likely the way that nature punishes impudent theorists who dare to break her unity. …If infinities are signs of missing unification, a unified theory will have none. It will be what we call a finite theory.”

The Trouble With Physics: The Rise of String Theory, The Fall of a Science, and What Comes Next (2007)

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American cosmologist 1955

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“Combine general relativity and quantum theory into a single theory that can claim to be the complete theory of nature. This is called the problem of quantum gravity.”

Lee Smolin (1955) American cosmologist

The Trouble With Physics: The Rise of String Theory, The Fall of a Science, and What Comes Next (2007)

“Relativity and… quantum… remain incomplete…. the main reason each is incomplete is the existence of the other. The mind calls for a third theory to unify all of physics, and for a simple reason. Nature is… "unified." …interconnected, in that everything interacts with everything else.”

Lee Smolin (1955) American cosmologist

The Trouble With Physics: The Rise of String Theory, The Fall of a Science, and What Comes Next (2007)

“Since the 1960s, particle theory had been split into two groups: those following the atomism of the quark theory and those who had followed the anti-atomism of that had led from the bootstrap program to the string theory. What happened in 1984 was that it was realised that string theory could combine and satisfy the aspirations of both approaches to fundamental physics. Thus, the community of gauge theorists, driven by the failure of the proton decay experiments to search for new ideas that could unify physics, all of a sudden encountered their old friends, the string theorists, in the middle of what might be called a desert of disappointed expectations.”

Lee Smolin book The Life of the Cosmos

The Life of the Cosmos (1997)

“The last thirty years of Einstein's life were largely devoted to a search for a so-called unified field theory that would unify James Clerk Maxwell's theory of electromagnetism with the general theory of relativity, Einstein's theory of gravitation. Einstein's attempt was not successful, and with hindsight we can now see that it was misconceived. Not only did Einstein reject quantum mechanics; the scope of his effort was too narrow. … Nevertheless Einstein's struggle is our struggle today. It is the search for a final theory.”

Steven Weinberg (1933) American theoretical physicist

page 18, 2nd edition https://books.google.com/books?id=Qd0MEtsBr7oC&pg=PA18 <br class="br">Dreams of a Final Theory (1992; 2nd edition 1994)

“Quantum theory may be formulated using Hilbert spaces over any of the three associative normed division algebras: the real numbers, the complex numbers and the quaternions. Indeed, these three choices appear naturally in a number of axiomatic approaches. However, there are internal problems with real or quaternionic quantum theory. Here we argue that these problems can be resolved if we treat real, complex and quaternionic quantum theory as part of a unified structure. Dyson called this structure the "three-fold way"…. This three-fold classification sheds light on the physics of time reversal symmetry, and it already plays an important role in particle physics.”

John C. Baez (1961) American mathematician and mathematical physicist

“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)

“General relativity is certainly a very beautiful theory, but how does one judge the elegance of physical theories generally?”

Roger Penrose book Fashion, Faith, and Fantasy in the New Physics of the Universe

Ch. 1, Mathematical Elegance as a Driving Force, p. 7 https://books.google.com/books?id=T09kCwAAQBAJ&pg=PA7. <br class="br">Fashion, Faith, and Fantasy in the New Physics of the Universe (2016)

“I am reasonably certain of one thing. The unquestioning acceptance of the Copenhagen interpretation has served to hold back progress on the development of alternative approaches. Blind acceptance of the orthodox position cannot produce the challenges needed to push the theory eventually to its breaking point. And break it will, probably in a way nobody can predict, to produce a theory nobody can imagine. The arguments about reality will undoubtedly persist, but at least we will have a better theory.
I have tried to argue that quantum theory is a difficult subject for modern students of physical science because its interpretation is so firmly rooted in philosophy. If, in arguing the case, I have only made the subject seem even more confusing, then I apologize. However, my most important message is a relatively simple one: quantum theory is rife with conceptual problems and contradictions, and its most common interpretation is anti-realist in nature. If you fine the theory difficult to understand, this is the theory's fault—not yours.”

Jim Baggott (1957) British writer

Closing remarks
Beyond Measure (2004)

“This fact, that all charges are integral multiples of a fundamental unit, is still one of the unexplained puzzles of fundamental physics. It does not in any way contradict electromagnetic theory, but it is not predicted by it, and until we have a more fundamental theory that explains it, we shall not feel that we really understand electromagnetic phenomena thoroughly. Presumably its explanation will not come until we understand quantum theory more thoroughly than we do at present.”

John C. Slater (1900–1976) American physicist

[John Clarke Slater, Nathaniel Herman Frank, Electromagnetism, Courier Dover Publications, 1969, 0486622630, 11]

“The development during the present century is characterized by two theoretical systems essentially independent of each other: the theory of relativity and the quantum theory. The two systems do not directly contradict each other; but they seem little adapted to fusion into one unified theory.”

Albert Einstein (1879–1955) German-born physicist and founder of the theory of relativity

"The Fundamentals of Theoretical Physics," (1940) as quoted in Out of My Later Years (1976)
1940s

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