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Each electron wants the whole of three-dimensional space for its waves; so Schrodinger generously allows three dimensions for each of them. For two e… - Arthur Eddington
" "Each electron wants the whole of three-dimensional space for its waves; so Schrodinger generously allows three dimensions for each of them. For two electrons he requires a six-dimensional sub-aether. He then successfully applies his method on the same lines as before. I think you will see now that Schrodinger has given us what seemed to be a comprehensible physical picture only to snatch it away again. His sub-aether does not exist in physical space; it is in a 'configuration space' imagined by the mathematician for the purpose of solving his problems, and imagined afresh with different numbers of dimensions according to the problem proposed. It was only an accident that in the earliest problems considered the configuration space had a close correspondence with physical space, suggesting some degree of objective reality of the waves. Schrodinger's wave mechanics is not a physical theory but a dodge - and a very good dodge too.
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About Arthur Eddington
Sir Arthur Stanley Eddington OM FRS (28 December 1882 – 22 November 1944) was an English astronomer, physicist, and mathematician. He was also a philosopher of science and a populariser of science. The Eddington limit, the natural limit to the luminosity of stars, or the radiation generated by accretion onto a compact object, is named in his honour.
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sir Arthur Stanley Eddington
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Sir Arthur Stanley Eddington
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Sir Arthur Eddington
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Additional quotes by Arthur Eddington
SELECTIVE SUBJECTIVISM
Let us suppose that an ichthyologist is exploring the life of the ocean. He casts a net into the water and brings up a fishy assortment. Surveying his catch, he proceeds in the usual manner of a scientist to systematise what it reveals.
He arrives at two generalisations :
(1) No sea-creature is less than two inches long.
(2) All sea-creatures have gills.
These are both true of his catch, and he assumes tentatively that they will remain true however often he repeats it.
In applying this analogy, the catch stands for the body of knowledge which constitutes physical science, and the net for the sensory and intellectual equipment which we use in obtaining it. The casting of the net corresponds to observation; for knowledge which has not been or could not be obtained by observation is not admitted into physical science.
An onlooker may object that the first generalisation is wrong. “There are plenty of sea-creatures under two inches long, only your net is not adapted to catch them. The ichthyologist dismisses this objection contemptuously. “Anything uncatchable by my net is ipso facto outside the scope of ichthyological knowledge, and is not part ot the kingdom of fishes which has been defined as the theme of ichthyological knowledge. In short, what my net can't catch isn’t fish.” Or — to translate the analogy — If you are not simply guessing, you arc claiming a knowledge ot the physical universe discovered in some other way than by the methods of physical science, and admittedly unvenfiablc by such methods. You are a metaphysician. Bah !
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