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Dr Faustus of Modern Physics - Department of Speech, Music and ...

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Chapter 6<br />

Battle: Continuous vs Discrete<br />

Since time is a continuum, the moment is always different, so the<br />

music is always different. (Herbie Hancock)<br />

6.1 Development <strong>of</strong> <strong>Physics</strong><br />

The development <strong>of</strong> physics can be seen as a battle between the continuous<br />

<strong>and</strong> the discrete, between a God <strong>and</strong> a Devil, between light <strong>and</strong> darkness,<br />

between idealism <strong>and</strong> materialism, with<br />

• the discrete originating in the atomism <strong>of</strong> Democritus followed by Plato<br />

<strong>and</strong> Arsitotle,<br />

• the continuum <strong>of</strong> the continuous taking over in the classical physics <strong>of</strong><br />

scientific revolution based on the Calculus <strong>of</strong> derivatives <strong>and</strong> integrals<br />

cluminating in the late 19th century with Maxwell’s field equations for<br />

electro-magnetics,<br />

• atomism resurfacing with the development <strong>of</strong> chemistry <strong>and</strong> the work<br />

on thermodynamics by Boltzmann in the 19th century, under heavy<br />

attack by the phenomenalism <strong>of</strong> the continuum advocated by Mach,<br />

• modern physics being born from a contradiction between the continuum<br />

<strong>of</strong> field theory <strong>and</strong> the discrete <strong>of</strong> particle physics with the key words<br />

<strong>of</strong> quanta <strong>and</strong> quantum.<br />

33

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