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Dil~Acs two hypotheses about variation of the constant of gravitation and of the mass of the universe are discussed with regard to the remarks made by FIXRZ concerning the authors attempt to give a coherent theory leading to DIRACS two cosmological laws as its consequences. Though at first sight it seems that the results of FIERZ would be contrary to the idea of any inconstancy of the mass of the universe, they do not make impossible a theory allowing separate threedimensional spaces to unite and to add their masses. A direct measurement of the variation of the constant of gravitation is not yet possible, but further progress of methods of measurement probably will allow a direct examination of this hypothesis. Many facts in the realm of geology and geophysics, and concerning the structure and history of the moon, to be discussed in detail elsewhere, indicate very strongly that diminution of the constant of gravitation during the development of the universe is an empirical fact. At the other hand AMBARZUIalANS results about formation of stars and galaxies strongly support the idea that these processes may be interpreted at the basis of uniting spaces.

Aber in ~ormaler, mathematlseher tIinsicht sind seine Betrachtungen, wie er selbst betont, erst im Anfangsstadium. Er hat seine ttypothesen nur an einfachen Beispielen erl~utert und ~st nicht zu einer allgemeinen Theorie vorgedrungen. Begiinstlgt dutch den Urnstand, da~ wir seine T~Tberlegungen sehon in statu naseendi kennenlernen durften, haben wlr uns naeh Abschlul] seiner Untersuehungen bemfiht, den mathematiseh-formalen Gehalt selner Ans~t~e zu kl~ren, und legen hier einige unserer Ergebnisse vor. Sie zeigen, dad es tatsachlieh m~g-]ieh ist, au~ der yon Heisenberg gegebenen Grundlage das Gebaude einer geschlossenen mathematisehen Theorie der Quantenmeehanik in merkwiirdlg enger Analoffle zur ]dassisehen Mechanik, doch unter Wahrung der ffir die Quantenerseheinungen kennzeichnenden Z~ige zu errichten.Wir beschr~nken nns dabei zun~chst mit Heisenberg auf Systeme yon einem Freihei~sgrad, yon denen wlr annehmen, daI~ sie --klassisch gesprochen --periodisch sind. Die Verallgemeinerung der

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