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

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11.6. MICROSCOPIC CASINO 61<br />

11.6 Microscopic Casino<br />

Statistical Mechanics is a macroscopic mathematical model based on an assumption<br />

<strong>of</strong> “molecular chaos” that is a microscopic statistical model. But a<br />

statistical model represents some form unpredictable microscopics, <strong>and</strong> thus<br />

statistical mechanics is based on<br />

• microscopics <strong>of</strong> microscopics.<br />

The difficulty with such a model is that it is impossible to directly test the<br />

basic statistical assumptions <strong>of</strong> the model, because they as microscopics are<br />

beyond inspection. Testing <strong>of</strong> the model can thus only be made indirectly<br />

on the macroscopic level, as pointed out by Einstein:<br />

• Neither Herr Boltzmann nor Herr Planck has given a defnition <strong>of</strong> W...<br />

Usually W is put equal to the number <strong>of</strong> complexions. In order to calculate<br />

W, one needs a complete (molecular-mechanical) theory <strong>of</strong> the<br />

system under consideration. Therefore it is dubious whether the Boltzmann<br />

principle has any meaning without a complete molecularmechanical<br />

theory or some other theory which describes the elementary processes<br />

(<strong>and</strong> such a theory is missing).<br />

11.7 Formality as Reality<br />

<strong>Modern</strong> theoretical physicists have been educated to believe that mathematical<br />

formulas can reveal a deep truths about reality way beyond the comprehension<br />

<strong>of</strong> the physicists writing down the formulas: It is a from <strong>of</strong> kabbalistic<br />

science where signs on a piece <strong>of</strong> paper become deeply meaningful. This is<br />

demonstrated by the<br />

• Lorentz transformation <strong>of</strong> special relativity,<br />

which is a simple linear coordinate transformation, believed to reveal some<br />

deep truths about the space <strong>and</strong> time we are part <strong>of</strong>, truths which are so<br />

startling, contradictory <strong>and</strong> contra-intuitive that an endless number <strong>of</strong> books<br />

have been written to explain what the meaning is without clarifying anything.<br />

Other examples <strong>of</strong> such overinterpretations <strong>of</strong> mathematical formulas are:<br />

• Schrödinger’s linear multidimension wave equation with solutions without<br />

physical interpretation.

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