Abstract This chapter provides a detailed explanation of Everett's three works — his thesis “On the Foundations of Quantum Mechanics”, a short paper entitled “‘Relative State’ Formulation of Quantum Mechanics”, and a long paper “The Theory of the Universal Wave Function”. It also discusses what was wrong with von Neumann's theory. It evaluates five alternatives presented by Everett for developing a satisfactory formulation of quantum mechanics. It provides an explanation for Everett's interpretation of pure wave mechanics and his principle of the relativity of states. Lastly, it evaluates the classical appearance and behaviour of macroscopic systems.
Abstract This chapter provides a detailed explanation of Everett's three works — his thesis “On the Foundations of Quantum Mechanics”, a short paper entitled “‘Relative State’ Formulation of Quantum Mechanics”, and a long paper “The Theory of the Universal Wave Function”. It also discusses what was wrong with von Neumann's theory. It evaluates five alternatives presented by Everett for developing a satisfactory formulation of quantum mechanics. It provides an explanation for Everett's interpretation of pure wave mechanics and his principle of the relativity of states. Lastly, it evaluates the classical appearance and behaviour of macroscopic systems.
Abstract This chapter begins by discussing the foundations of Hugh Everett III's relative state theory, which he regards as a new, more general, and complete theory than the standard von Neumann–Dirac theory. It then talks about why Albert Einstein rejected Max Born's formulation of quantum mechanics where he described his new statistical interpretation of the wave function. It also provides a discussion on von Neumann's formulation of quantum mechanics and the standard theory, as well as a summary of the said theory. The chapter goes on to detail several arguments presented by Einstein regarding von Neumann's interpretation of quantum mechanics. It then presents von Neumann's psychophysical parallelism and Wigner's friend experiment.
Hugh Everett's long thesis was submitted to John Archibald Wheeler, his doctoral thesis advisor, in January 1956 under the title "Quantum Mechanics by the Method of the Universal Wave Function.'' It was retitled "Wave Mechanics Without Probability'' and circulated in April of that year to several prominent physicists, including Niels Bohr. Largely due to the criticism of the long thesis by the Copenhagen colleagues, Everett and his advisor John Wheeler rewrote Everett's thesis in the winter of 1957 to produce a much shorter version, which Everett subsequently defended for his Ph.D. under the title "On the Foundations of Quantum Mechanics.'' While the long thesis was organized around the quantum measurement problem and how it is best solved by pure wave mechanics, the short thesis presented Everett's relative-state formulation of pure wave mechanics more as a suitable theory for the development of quantum gravity, cosmology, and field theory. The short thesis no longer contains Everett's chapter on information theory and correlation, his survey of possible solutions to the measurement problem, or his extended discussion of the nature of physical theories. What remains is a distilled presentation of pure wave mechanics, his principle of the fundamental relativity of states, and his derivation of the standard quantum statistics. The short thesis was retitled for publication in Reviews of Modern Physics in July 1957 as "The `Relative State' Formulation of Quantum Mechanics.'' The version below closely follows the Reviews of Modern Physics article. The long thesis itself was not published until 1973 in the DeWitt and Graham Princeton University Press anthology. It was published under the title "The Theory of the Universal Wave Function." This document is a reproduction of the version of the thesis published in the DeWitt-Graham anthology.
Hugh Everett's long thesis was submitted to John Archibald Wheeler, his doctoral thesis advisor, in January 1956 under the title "Quantum Mechanics by the Method of the Universal Wave Function.'' It was retitled "Wave Mechanics Without Probability'' and circulated in April of that year to several prominent physicists, including Niels Bohr. Largely due to the criticism of the long thesis by the Copenhagen colleagues, Everett and his advisor John Wheeler rewrote Everett's thesis in the winter of 1957 to produce a much shorter version, which Everett subsequently defended for his Ph.D. under the title "On the Foundations of Quantum Mechanics.'' While the long thesis was organized around the quantum measurement problem and how it is best solved by pure wave mechanics, the short thesis presented Everett's relative-state formulation of pure wave mechanics more as a suitable theory for the development of quantum gravity, cosmology, and field theory. The short thesis no longer contains Everett's chapter on information theory and correlation, his survey of possible solutions to the measurement problem, or his extended discussion of the nature of physical theories. What remains is a distilled presentation of pure wave mechanics, his principle of the fundamental relativity of states, and his derivation of the standard quantum statistics. The short thesis was retitled for publication in \\emph{Reviews of Modern Physics} in July 1957 as "The `Relative State' Formulation of Quantum Mechanics.'' This document is Everett's short thesis, as submitted to Princeton for his degree.
Hugh Everett's long thesis was submitted to John Archibald Wheeler, his doctoral thesis advisor, in January 1956 under the title "Quantum Mechanics by the Method of the Universal Wave Function.'' It was retitled "Wave Mechanics Without Probability'' and circulated in April of that year to several prominent physicists, including Niels Bohr. Largely due to the criticism of the long thesis by the Copenhagen colleagues, Everett and his advisor John Wheeler rewrote Everett's thesis in the winter of 1957 to produce a much shorter version, which Everett subsequently defended for his Ph.D. under the title "On the Foundations of Quantum Mechanics.'' While the long thesis was organized around the quantum measurement problem and how it is best solved by pure wave mechanics, the short thesis presented Everett's relative-state formulation of pure wave mechanics more as a suitable theory for the development of quantum gravity, cosmology, and field theory. The short thesis no longer contains Everett's chapter on information theory and correlation, his survey of possible solutions to the measurement problem, or his extended discussion of the nature of physical theories. What remains is a distilled presentation of pure wave mechanics, his principle of the fundamental relativity of states, and his derivation of the standard quantum statistics. The short thesis was retitled for publication in Reviews of Modern Physics in July 1957 as "The 'Relative State' Formulation of Quantum Mechanics.'' The version below closely follows the Reviews of Modern Physics article. The long thesis itself was not published until 1973 in the DeWitt and Graham Princeton University Press anthology. It was published under the title "The Theory of the Universal Wave Function." Although Everett did not publish the long thesis, he nonetheless kept a copy of it, and appears to have returned to it periodically to make changes even after the short thesis appeared in print. This document is a scanned version of Everett's personal copy of his long thesis, with his collected comments and changes.
A novel interpretation of quantum mechanics, first proposed in brief form by Hugh Everett in 1957, forms the nucleus around which this book has developed. In his interpretation, Dr. Everett denies the existence of a separate classical realm and asserts the propriety of considering a state vector for the whole universe. Because this state vector never collapses, reality as a whole is rigorously deterministic. This reality, which is described jointly by the dynamical variables and the state vector, is not the reality customarily perceived; rather, it is a reality composed of many worlds. By virtue of the temporal development of the dynamical variables, the state vector decomposes naturally into orthogonal vectors, reflecting a continual splitting of the universe into a multitude of mutually unobservable but equally real worlds, in each of which every good measurement has yielded a definite result, and in most of which the familiar statistical quantum laws hold. The volume contains Dr. Everett's short paper from 1957, "'Relative State' Formulation of Quantum Mechanics," and a far longer exposition of his interpretation, entitled "The Theory of the Universal Wave Function," never before published. In addition, other papers by Wheeler, DeWitt, Graham, and Cooper and Van Vechten provide further discussion of the same theme. Together, they constitute virtually the entire world output of scholarly commentary on the Everett interpretation. Originally published in 1973. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
In April of 1956, Hugh Everett III’s draft doctoral thesis, tentatively titled “Wave Mechanics without Probability”, was circulated by his thesis advisor at Princeton University John Wheeler to several leading physicists in the West, including the godfather of quantum mechanics Niels Bohr. Everett aimed at resolving the measurement problem in quantum mechanics. Everett’s solution to the mystery of how, when, where and why the wave function collapses in the measurement process was straightforward: it does not. Due to the opposition of Bohr and other adherents to the Copenhagen Interpretation of quantum mechanics, an objection by Feynman and Wheeler’s growing ambivalence, Everett was required to abridge his thesis, resulting in the publication of “’Relative State’ Formulation of Quantum Mechanics” in July 1957. Everett’s machinery of interpretation, including his information and measure theoretic interpretation of the wave function, his concept of correlation within the superposition, as well as his philosophy of science which provides important context for his theory, are largely absent from the latter “Short Thesis”. Perhaps due to the unusual publication history of his works, many critics of Everett and even many of his supporters have overlooked the significance of the arguments made in the “Long Thesis”, which was published only in 1973. Everett’s fuller exposition there answers often cited criticisms such as Adrian Kent’s “Against Many Worlds Interpretations”. Other popular misconceptions about Everett, that he was driven out of academia or that his thesis was redacted due solely or primarily to the opposition from Copenhagen, do not stand up to careful scrutiny of the historical evidence.