Cosmology and Particle Physics: Proceedings of the Nato Advanced Study Institute on Cosmology and Particle Physics (13th Course of the International School of Cosmology and Gravitation of the Ettore Majorana Centre for Scientific Culture), Erice, Italy, M

Marc Notes: Proceedings of the NATO Advanced Study Institute on Cosmology and Paritcle Physics (13th Course on the International School of Cosmology and Gravitation of the Ettore Majorana Centre for Scientific Culture) Erice, Italy, May 3-14, 1993--T.p. verso.; Includes bibliographical references and index.; Published in cooperation with NATO Scientific Affairs Division.. Table of Contents: Preface. A New Topology for Spatial Infinity? P. G. Bergmann, G. J. Smith. Temperature and Gravitational Potential; P. G. Bergmann. How can General Relativity be Formulated most Canonically? H.-H. von Borzeszkowski. Phase Transitions out of Equilibrium; D. Boyanovsky, H. J. de Vega. Some Physical Analyses in Relativistic Heavy Ion Collisions; Chao Wei-Qin. Why the Central Values of mupsilon2e Obtained Experimentally with the Magnetic Spectrometers by Various Laboratories over the World are Most Negative? Ching Chengrui, Ho Tsohsui, Liang Dongqi, Mao Yajun, Chen Shiping, Sun Hancheng. Ultracryogenic Gravitational Wave Experiments: Nautilus; E. Coccia. Spin and Torsion in the Early Universe; V. de Sabbata. Four-Dimensional String/String Duality; M. J. Duff, R. R. Khuri. Gravity's Measurements in the 10 / 100 m Range of Distance; S. Focardi. Long Distance Correlations of Matter Distribution in the Universe; H. E. Jorgensen, P. D. Naselsky, D. I. Novikov, I. D. Novikov. Critical Phenomena in Black Holes and the Emergence of Two Dimensional Quantum Description; C. O. Lousto. Quantization of the Metric Created by Ultrarelativistic Particles; C. O. Lousto, N. Sanchez. Gravitational Wave Search with Resonant Detectors; G. Pizzella. String Theory in Cosmology; N. Sanchez. Basic Principles of Gravitational Wave Interferometers; P. R. Saulson. Is the Wavefunction Real? W. G. Unruh. Supercollider Gravitational Experiments; J. Weber. New Theoretical Results of 2upsilonbetabeta Decay with the Operator Expansion Method; X. R. Wu, M. Hirsch, A. Staudt, H. V. Klapdor-Kleingrothaus, Ching Cheng-rui, Ho Tso-hsiu. R-W Cosmological Solution for Polytropes; ZhangZhenjiu, Huang Huanran, Huang Xintang, Guo Kexin, Yu Lijun. Unification of Standard Model Gauge Couplings: Meaning, Status and Perspectives; A. Zichichi. Index."Publisher Marketing: In recent years there has been a steadily increasing cross-fertilization between cosmology and particle physics, on both the theoretical and experimental levels. Particle physics has provided new experimental data from the big accelerators in operation, and data from space satellites are accumulating rapidly. Cosmology is still one of the best laboratories for testing particle theory.

Contributor Bio:  North Atlantic Treaty Organization Dedication. Preface. Acknowledgments. Clifford Geometric Algebras in Multilinear Algebra and Non-Euclidean Geometries.- Geometric algebra Projective Geometries; Affine and other geometries; Affine Geometry of pseudo-euclidean space; Conformal Geometry and the Horosphere; References. Content-Based Information Retrieval by Group Theoretical Methods.- Introduction; Motivating Examples; General Concept; Fault Tolerance.- Applications, Prototypes, and Test Results; Related Work and Future Research; References.- Four Problems in Radar.-Introduction; Radar Fundamentals; Radar Waveforms; Signal Processing; Space-Time Adaptive Processing; Four Problems in Radar; Conclusions. Introduction to Generalized Classical and Quantum Signal and System Theories on Groups and Hypergroups.-Generalized classical signal/system theory on hypergroups; Generalized quantum signal/system theory on hypergroups; Conclusion; References. Lie Groups and Lie Algebras in Robotics.- Introduction -- Rigid Body Motions; Lie Groups; Finite Screw Motions; Mechanical Joints; Invisible Motion and Gripping; Forward Kinematics; Lie Algebra; The Adjoint Representation; The Exponential Map Derivatives of Exponentials; Jacobians; Concluding Remarks; References. Quantum/Classical Interface: a Geometric Approach from the Classical Side.- Introduction Paravector Space as Spacetime; Eigenspinors; Spin; Dirac Equation; Bell's Theorem; Qubits and Entanglement; Conclusions; References. PONS, Reed-Muller Codes, and Group Algebras.- Introduction; Analytic Theory of One-Dimensional PONS (Welti); Shapiro Sequences, Reed-Muller Codes, and Functional Equations; Group Algebras; Reformulation of Classical PONS; Group Algebra of Classical PONS; GroupAlgebra Convolution; Splitting Sequences; Historical Appendix on PONS; References. Clifford Algebras as a Unified Language.- Introduction; Clifford algebras as models of physical spaces; Clifford Algebras as Models of Perceptual Multicolor Spaces; Hypercomplex-Valued invariants of nD multicolor images; Conclusions; Acknowledgments; References. Recent Progress and Applications in Group FFTs.-Introduction; Finite group FFTs; FFTs for compact groups; Noncompact groups; References. Group Filters and Image Processing.- Introduction: Classical Digital Signal Processing; Abelian Group DSP; Nonabelian Groups; Examples; Group Transforms; Group Filters; Line-like Images; Acknowledgments; References. A Geometric Algebra Approach to Some Problems of Robot Vision.- Introduction; Local Analysis of Multi-dimensional Signals; Knowledge Based Neural Computing; Acknowledgments; References. Group Theory in Radar and Signal Processing.- Introduction; How a Radar Works; Representations; Representations and Radar; Ambiguity Functions; The Wide Band Case; References. Geometry of Paravector Space with Applications to Relativistic Physics.- Clifford Algebras in Physics; Paravector Space as Spacetime; Interpretation; Eigenspinors; Maxwell's Equation; Conclusions; References. A Unified Approach to Fourier-Clifford-Prometheus Transforms- Introduction; New construction of classical and multiparametric Prometheus transforms; PONS associated with Abelian groups; Fast Fourier-Prometheus Transforms; Conclusions; Acknowledgments; References. Fast Color Wavelet Transforms.- Introduction; Color images; Color Wavelet-Haar-Prometheus transforms; Edge detection and compression of color images; Conclusion; Acknowledgments; References. Selected Problems; Various Authors.- Transformations of Euclidean Space and Clifford Geometric; Algebra; References; On the Distribution of Kloosterman Sums on Polynomials over Quaternions; References; Harmonic Sliding Analysis Problems; References; Spectral Analysis under Conditions of Uncertainty; A Canonical Basis for Maximal Tori of the Reductive Centrizer of a Nilpotent Element; References; 6 The Quantum Chaos Conjecture References; Four Problems in Radar; Topic Index; Author Index