Planck's Radiation Formula Derived without Atomicity


IN a recent paper1 I expressed the fourth-power law of temperature radiation in a form analogous to the relativity expression of the laws of motion, so that the implication of unobservable absolute radiation was eliminated. In this expression temperature was measured by the rate of reception by a specified instrument of a quantity dη, corresponding to what is usually called entropy, time being measured on a thermal time-scale in which equal times correspond to equal receptions of η by a standard thermal clock. It then appeared that what is usually regarded as the absolute entropy radiated (that is aθ4/θ), which was denoted by dÏ, was invariant under changes of temperature of the η-measuring instrument and 'thermal clock' according to transformation equations which were derived.

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  1. 1

    Phil. Mag., 35, 499 (1944).

  2. 2

    "Radiation and the Quantum Theory" (second ed.), 29.

  3. 3

    Nature, 144, 888 (1939); 146, 391 (1940).

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DINGLE, H. Planck's Radiation Formula Derived without Atomicity. Nature 157, 515 (1946) doi:10.1038/157515b0

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