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In the Beginning was Information

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R6: One can employ a known natural law to discover ano<strong>the</strong>rone: It has happened time and again in <strong>the</strong> history of science that anew law has been discovered using <strong>the</strong> validity of a known law. If<strong>the</strong> law of gravity had not been known, <strong>the</strong>n <strong>the</strong> behaviour of <strong>the</strong>moons of Jupiter could not have been investigated properly. Observationsof <strong>the</strong>ir motions made it possible to compute <strong>the</strong> speed oflight, which is an important physical constant.The orbits of <strong>the</strong> planets cannot be exactly elliptical (as would berequired if <strong>the</strong> gravitational pull of <strong>the</strong> sun <strong>was</strong> <strong>the</strong> only force actingon <strong>the</strong>m), as required by Newton’s law, since <strong>the</strong>y are not onlyunder <strong>the</strong> gravitational influence of <strong>the</strong> sun, but <strong>the</strong>y also affectone ano<strong>the</strong>r gravitationally to a lesser extent. John Couch Adams(1819 – 1892), a British astronomer and ma<strong>the</strong>matician, computed<strong>the</strong> expected perturbations caused by <strong>the</strong>ir mutual gravitationalattractions, of <strong>the</strong> orbits of <strong>the</strong> <strong>the</strong>n known major planets, Jupiter,Saturn, and Uranus. The French astronomer Urban J. J. Leverrier(1811 – 1877) also computed <strong>the</strong> deviations of <strong>the</strong>se orbits from<strong>the</strong> perfect Kepler ellipses independently. It <strong>was</strong> found that Jupiterand Saturn “lived up to <strong>the</strong> expectations”, but Uranus exhibiteddeviant behaviour.Relying on <strong>the</strong> validity of Newton’s law, both astronomers wereable to deduce <strong>the</strong> position of a hi<strong>the</strong>rto unknown planet from<strong>the</strong>se irregularities. Each of <strong>the</strong>m <strong>the</strong>n approached an observatorywith <strong>the</strong> request to look for an unknown planet in such and sucha celestial position. This request <strong>was</strong> not taken seriously at oneobservatory; <strong>the</strong>y regarded it as absurd that a pencil-pushercould tell <strong>the</strong>m where to look for a new planet. The o<strong>the</strong>r observatoryresponded promptly, and <strong>the</strong>y discovered Neptune. Leverrierwrote to <strong>the</strong> German astronomer Johann Gottfried Galle(1812 – 1910), who <strong>the</strong>n discovered Neptune very close to <strong>the</strong>predicted position.2.5 The Classification of <strong>the</strong> Laws of NatureWhen one considers <strong>the</strong> laws of nature according to <strong>the</strong> ways <strong>the</strong>yare expressed, one discovers striking general principles which <strong>the</strong>yseem to obey. The laws can accordingly be classified as follows:36

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