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Notes

[Notebook: Transfinite Field Theory]

[Sunday 28 December 2003 - Saturday 27 December 2003]

Sunday 28 December 2003
Monday 29 December 2003

[page 33]

Tuesday 30 December 2003

Our fundamental fact is that the Universe in which we find ourselves is (at least to some extent) measurable. In other words, knowledge is possible in our Universe. This knowledge is implicit in human language and culture, and, we wish to show, in the whole Universe. It serves as the metaphysical hypothesis within which we pursue knowledge and knowledge of knowledge.

Wednesday 31 December 2003
Thursday 1 January 2004
Friday 2 January 2004
Saturday 3 January 2004

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Further reading

Books

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Crankshaw, Edward, Krushchev, Collins 1966 'Most of the material for my . . . book was gathered over a long period and in a number of countries, above all, of course, the Soviet Union. I cannot thank by name the many who have helped me, and those who still live in Russia and Eastern Europe would not be pleased if I did so. I am grateful to them all the same. It would be pleasant, if, twelve years after Stalin's death, I could acknowledge assistance from 'official' Russians; but from these, as always during the past 25 years, -- save for on startling gesture from Krushchev himself -- there has been nothing but obstruction.'back
Feynman, Richard P , and Albert P Hibbs, Quantum Mechanics and Path Integrals, McGraw Hill 1965 Preface: 'The fundamental physical and mathematical concepts which underlie the path integral approach were first developed by R P Feynman in the course of his graduate studies at Princeton, ... . These early inquiries were involved with the problem of the infinte self-energy of the electron. In working on that problem, a "least action" principle was discovered [which] could deal succesfully with the infinity arising in the application of classical electrodynamics.' As described in this book. Feynam, inspired by Dirac, went on the develop this insight into a fruitful source of solutions to many quantum mechanical problems.  
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Zee, Anthony, Quantum Field Theory in a Nutshell, Princeton University Press 2003 Amazon book description: 'An esteemed researcher and acclaimed popular author takes up the challenge of providing a clear, relatively brief, and fully up-to-date introduction to one of the most vital but notoriously difficult subjects in theoretical physics. A quantum field theory text for the twenty-first century, this book makes the essential tool of modern theoretical physics available to any student who has completed a course on quantum mechanics and is eager to go on. Quantum field theory was invented to deal simultaneously with special relativity and quantum mechanics, the two greatest discoveries of early twentieth-century physics, but it has become increasingly important to many areas of physics. These days, physicists turn to quantum field theory to describe a multitude of phenomena. Stressing critical ideas and insights, Zee uses numerous examples to lead students to a true conceptual understanding of quantum field theory--what it means and what it can do. He covers an unusually diverse range of topics, including various contemporary developments,while guiding readers through thoughtfully designed problems. In contrast to previous texts, Zee incorporates gravity from the outset and discusses the innovative use of quantum field theory in modern condensed matter theory. Without a solid understanding of quantum field theory, no student can claim to have mastered contemporary theoretical physics. Offering a remarkably accessible conceptual introduction, this text will be widely welcomed and used.  
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