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Through Jung [Pauli] became very interested in various kinds of mysticism, including Jewish mysticism. This led Pauli to develop a friendship with Gershom Scholem, the world's greatest authority in that field and in the Cabala, .... On one occasion Scholem asked me to tell him about unsolved problems in modern physics. .... When I mentioned this number --137-- to Scholem, .... He told me that in Hebrew .... The number corresponding to the word 'cabala' happens to be 137.

Victor F. Weisskopf
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In the context of physics, 137 is equal to the integer part of the inverse of the fine structure constant ... The fine structure constant α is the key to the physicist’s quest for a Grand Unified Theory ... The number 137 has intrigued numerous prominent theoretical physicists ... All told, we believe that it is much easier, and more motivating, to remember a number that has deep significance in numerous disciplines, ... with the following terse ode to 137:Bethe was mischievous with 137Bohr was intrigued by 137Born was mystified by 137Fermi was frisky with 137Feynman was mesmerized by 137Heisenberg was fascinated by 137Lederman was enchanted by 137Pauli was consumed by 137Turing was matched by 137

Leon O Chua, A Nonlinear Dynamics Perspective of Wolfram's New Kind of Science :(Volume VI): 85
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Was Giza the mirror of the sky? In addition, what was the number 137 purpose? The number 137 has a very amazing meaning and it can range from modern Science to Kabbalah, from Archetypes numerology to Eastern philosophy, from smaller particles to the law of Universal Balance. ... Did the builders want to convey their scientific knowledge through the Pyramids proportions? ... Was their function connected to the number 137?

Armando Mei, Ancient Mysteries: Collection of Author's articles published on the main specialized journals
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For [Wolfgang] Pauli the central problem of electrodynamics was the field concept and the existence of an elementary charge which is expressible by the fine-structure constant ... 1/137. This fundamental pure number had greatly fascinated Pauli, .... For Pauli the explanation of the number 137 was the test of a successful field theory, a test which no theory has passed up to now.

Charles P. Enz, Pauli Lectures on Physics: Volume 1, Electrodynamics
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The bridge between the electron and the other elementary particles is provided by the fine structure constant, a ~ 1/137, as manifested in the factor-of-137 spacings between the classical electron radius, electron Compton radius, and Bohr orbit radius. ... An a-quantized mass-generation grid extends accurately from the electron all the way to the top quark t, and leads to a corresponding a-quantized particle lifetime grid.

Malcolm H. Mac Gregor, The Enigmatic Electron: A Doorway to Particle Masses
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The prime number 137 had continuously occupied Pauli's mind. It is an approximate value for a constant appearing in the fine structure theory of atomic spectra which in its theoretical expression ties together electromagnetism, relativity and quantum theory. Pauli saw the fine structure theory of spectra as a key in understanding the deepest contemporary problems of theoretical physics. For that reason the number 137 possessed a mysterious attraction for him.

K. V. Laurikainen, Beyond the Atom: The Philosophical Thought of Wolfgang Pauli
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The strength of the familiar electromagnetic force between two electrons, for example, is expressed in physics in terms of a constant known as the fine structure constant. The value of this constant, almost exactly 1/137, has puzzled many generations of physicists. A joke made about the famous English physicist Paul Dirac (1902-1984), one of the founders of quantum mechanics, says that upon arrival to heaven he was allowed to ask God one question. His question was: "Why 1/137?

Mario Livio, The Golden Ratio: The Story of Phi, the World's Most Astonishing Number
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137 years later, Memorial Day remains one of America's most cherished patriotic observances. The spirit of this day has not changed - it remains a day to honor those who died defending our freedom and democracy.

Doc Hastings
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Physicists love this number not just because it is dimensionless, but also because it is a combination of three fundamental constants of nature. Why do these constants come together to make the particular number 1/137.036 and not some other number?

John Archibald Wheeler, Geons, Black Holes, and Quantum Foam: A Life in Physics
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Alpha, known as the fine-structure constant, characterizes the interactions between matter and light. It has been very accurately measured in the laboratory. It is indeed the most precisely measured of all physical constants ... best memorized in the form ~ 1/137.

Jean-Philippe Uzan
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