The editors are pleased to submit to the readers the state of the art in high energy physics as it appears at the beginning of 1978. Appreciation is extended to Mrs. Helga S. Billings for her assistance with the conference and for her skillful typing of the proceedings which was done with great enthusiasm and dedication. Also, appreciation is extended to Dr. Osman Kadiro~u for his assistance with the proceedings this year. Orbis Scientiae 1978 received some support from the Department of Energy. The Editors v CONTENTS New Approach to Cosmological Theory •. ••. •. . . . . . •. . . •. ••••••. . • 1 P. A. M. Dirac 2 Spin Forces in Large-p p-p Elastic Scattering . •. •. •. . . ••. •. •. 17 A. D. Krisch L Advances in the Study of Spin Effects in Nucleon-Nucleon Scattering at Small and Intermediate Momentum Transfers . •. • 57 Homer A. Neal What Can One Learn from Very Accurate Measurements of the Lepton Magnetic Moments? •. . . . . •. •. . . . •. . •. •. ••. . . •. 127 Toichiro Kinoshita Lepton Spin Motion in Weak Magnetic Mirror Traps •. . •. . . . . . . . •. 145 G. W. Ford Electron Magnetic Moment from Geonium Spectra . •. •. ••. •••. •. . •. 159 Robert S. Van Dyck, Jr. , Paul B. Schwinberg, and Hans Dehmelt Muon Anomalous Magnetic Moment - The Last Word . •••. •. ••••. •. . . 183 Robert W. Williams Proposed Measurements of the Anomalous Magnetic Moment of the Electron and Positron . •. . . •. •••. . . . •. . . . •. . . .