Optical Geometry Of Motion - A New View Of The Theory Of Relativity - Tapa blanda

A. Robb, Alfred

9781408637135: Optical Geometry Of Motion - A New View Of The Theory Of Relativity

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ISBN 10: 1408637138 ISBN 13: 9781408637135

Editorial: Read Books, 2008

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PREFACE. IN placiug before his readers the folloning brief ontline of a point of view, the writer is well aware that it is far from complete in Inany respects. He however believes that, in the first preseut neut of a theory, there are considerable advantages in stating explicitly only its priucipal features. To cover up a general t andpoinutn der a mass of detail is to mu the rislr of obscuring it altogether. There is always the danger that the render may not be able to see the . wood for the treesw- r danger which is becoming very real in mncli modern mathematics. The s ibstance of the following essay was originally intended by the writer to form a chapter of a book of semi-philosophical character tipon which he is engaged. In view, however, of the , monnt of attention which the snbject of Relativity is-at present attracting, it seemed to 11im that this portion might prove of sufficient interest to warrant its separate pnblication. From the standpoint of the pure mathematician Geometry is n brauch of formal logic, bnt there sre Inore aspects of things tEla11 one, and the geometrician has bqt to loolr at the name of his science to Fe reminded that it had its origin in s definite physical problem. That problem in an extended form still retaius its interest. Cambridge, ilircy 1311 1 9 11. But deepest of all illusory Appearances, for l idiug Wonder, as for many other ends, are your two graud fundamental world-enveloping Appearances, SPACE and TI II. These, us spun and woven for us from before Birth itself to clothe our celestial DIE for dwelling here, aud yet to blind it,-lie all-embracing, as the universal canvas, or warp and woof, whereby all miuor Illusions, in this Phantasm Existence weave aud paint themselves. In vain, while here on Earth shall you eudeavour to strip them off you can, at best, but rend them asunder for moments, and look througl. CAKLYLE , Sa9, tot. Resal-tus. OPTICAL GEODlETRY OF MOTION. r HE foundations of Geometry have been carefully investi-1 g ted, especially of late ye hrs, by many eminent mathem rticial s. These investig tions have with the notnble exception of those of Helmholtz been almost all directed towards the Logical xspects of the sub. ject, while the Pl ysical standpoint has received comparatively little attention. Speaking of the different Geometxies which have been devised, Poincarh has gone so fitr as to say that one Geometry clrnnot be n oretr ne than another it can ouly be more convenient. In order to snpport this view it is pointecl out that it is possible to construct a sort of dictionary by means of which me may pass frorn theorems it1 Enclidiau Geometry to corresponding theorems in the Geornetries of Lobntschefskij or LCiernaun. 111 reply to this it must he remembered that the 1augn tge . of Geometry hits a certain fairly well defiued pligsical signification which in its essential fe0ture. s must be preserved if we are to avoid confusion. As regwds the dictionary, me would veutnre to nd i that it wollld also be possible to constrllct one in which the ordinary uses of the words 6ZacR and zuhite mere interchanged, hnt, ill spite of ttii, t he snbstitntio o f the word white for the word 6Za ck is frequently taken as the very type of a falsehood. I t is the conteution of the writer that the axioms of Geometry, with a few exceptions, may be regarded IS the formal expression of certain Optical fi ctu. The exceptions are a few axioms whose basis appears to be Logical rttther thau Physical...

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