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Impossibility: The Limits of Science and the Science of Limits

This book delves into the conceptual and philosophical aspects of science, examining the fundamental limits that exist within the realms of scientific investigation and the nature of these limits themselves. more

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John D. Barrow
John D. Barrow

John D. Barrow is a renowned physicist known for his research in cosmology and the principles of cosmology. Born on November 29, 1952, he has been active in the field of theoretical physics and cosmology since the 1980s. more

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“The focus of history and philosophy of science scholar Arthur Miller’s (2010) "137: Jung and Pauli and the Pursuit of Scientific Obsession" is Jung and Pauli’s mutual effort to discover the cosmic number or fine structure constant, which is a fundamental physical constant dealing with electromagnetism, or, from a different perspective, could be considered the philosopher’s stone of the mathematical universe. This was indeed one of Pauli and Jung’s collaborative passions, but it was not the only concentration of their relationship. Quantum physics could be seen as the natural progression from ancient alchemy, through chemistry, culminating in the abstract world of subatomic particles, wave functions, and mathematics. [Ancient Egypt and Modern Psychotherapy]”

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“The theoretical determination of the fine structure constant is certainly the most important of the unsolved problems of modern physics. We believe that any regression to the ideas of classical physics (as, for instance, to the use of the classical field concept)cannot bring us nearer to this goal. To reach it, we shall, presumably, have to pay with further revolutionary changes of the fundamental concepts of physics with a still farther digression from the concepts of the classical theories.”

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“Sommerfeld's fine-structure theory was generally considered to be excellently and unambiguously confirmed by experiment. Because the theory rested on the foundation provided by Bohr, the experiments were also taken as strong support for his theory of atomic structure.”

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“Following the path of earlier unificationists, one of Eddington's aims was to reduce the contingencies in the description of nature, for example, by explaining the fundamental constants of physics rather than accepting them as merely experimental data. One of these constants was the fine-structure constant ..., which entered prominently in Dirac's theory and was known to be about 1/137.”

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“I introduce the subject of fine structure with a mini-calendar of events. ... Winter 1914-15. Sommerfeld computes relativistic orbits for hydrogen-like atoms. Pashcen, aware of these studies, carefully investigates fine structures, .... January 6, 1916. Sommerfeld announces his fine structure formula, citing results to be published by Paschen in support of his answer. February 1916. Einstein to Sommerfeld: "A revelation!" March 1916. Bohr to Sommerfeld: "I do not believe ever to have read anything with more joy than your beautiful work." September 1916. Paschen publishes his work, acknowledging Sommerfeld's "indefatigable efforts.”

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