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Sam Treiman... has quoted something he called Treiman's theorem... Impossible things usually don't happen.... With the discovery of radioactivity... it suddenly became apparent that the "impossible" was happening all the time. Uranium, thorium, radium... fit all the requirements of chemical elements. They could not be broken down by any of the standard methods... But occasionally... atoms of these elements spontaneously changed into other kinds of atoms.... So what is left of the doctrine of the elements? Is alchemy reinstated? Not at all. The point is that the doctrine fails only under rare or special conditions.... We can isolate the conditions in which they do, and retain a more restricted but still useful concept of the "impossible."
Frank Wilczek
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The result will be points of quiescence—technically known as nodes—where the air's density varies not at all, and no sound is heard. Note the paradox here: either sphere alone creates a sound wave at this point; two spheres together add up to no sound there at all. Two sources can add up to give less than one. This is the essence of destructive interference. (When two sources are giving the same instruction, the resulting vibration bears not twice but four times the energy. This phenomenon, oxymoronically known as constructive interference, may seem puzzling.)
Frank Wilczek
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The traditional cosmological Multiverse considers that there might be physical realms inaccessible to us due to their separation in space-time. The quantum Multiverse arises from entities that occupy the same space-time, but are distant in Hilbert space – or in the jargon, decoherent.
Frank Wilczek
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The bases of music are rhythm and harmony. Rhythm is ordered recurrence in time... As the planets move around the sun, they repeat their orbits periodically; thus there is already a primitive kind of rhythm in their motion.... Harmony... can be considered a special kind of rhythm.... pure musical tones are produced when the vibrations are... periodic or... repeat themselves regularly in time. Two tones harmonize if their intervals of repetition are in rhythm—or, in mathematical language, if their periods are in proportion. Kepler... in the third book of Harmonice mundi... attempted to make other... related, connections between musical harmony and mathematical proportion.
Frank Wilczek
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The Copernican Principle or Cosmic Mediocrity... states, basically, that Earth does not occupy a privileged place in the universe. Universality asserts more, namely that there are no privileged places or times.
Frank Wilczek
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A common habit of thought... is the idea that space is [a] simple receptacle in which bodies move around, with no two bodies present at the same point.... In modern quantum physics generally, and in the standard model of fundamental physics in particular, physical space appears as a far more flexible framework. Many kinds of particles can be present at the same point in space at the same time. Indeed, the primary ingredients of the standard model are not particles at all, but an abundance of quantum fields, each a complex object in itself, and all omnipresent.
Frank Wilczek
Quote of the day
When the moon is in the seventh house, And Jupiter aligns with Mars, Then peace will guide the planets, And love will steer the stars; This is the dawning of the age of Aquarius.
James Rado
Frank Wilczek
Creative Commons
Born:
May 15, 1951
(age 73)
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