Topics in Mathematical Physics, General Relativity and Cosmology in Honor of Jerzy Plebanski: Proceedings of 2002 International Conference: ... Conference,Cinvestav, Mexico City

One of modern science's most famous and controversial figures, Jerzy Pleba ski was an outstanding theoretical physicist and an author of many intriguing discoveries in general relativity and quantum theory. Known for his exceptional analytic talents, explosive character, inexhaustible energy, and bohemian nights with brandy, coffee, and enormous amounts of cigarettes, he was dedicated to both science and art, producing innumerable handwritten articles - resembling monk's calligraphy - as well as a collection of oil paintings. As a collaborator but also an antagonist of Leopold Infeld's (a coauthor of "Albert Einstein's"), Pleba ski is recognized for designing the "heavenly" and "hyper-heavenly" equations, for introducing new variables to describe the gravitational field, for the exact solutions in Einstein's gravity and in quantum theory, for his classification of the tensor of matter, for some outstanding results in nonlinear electrodynamics, and for analyzing general relativity with continuous sources long before Chandrasekhar et al. A tribute to Pleba ski's contributions and the variety of his interests, this is a unique and wide-ranging collection of invited papers, covering gravity quantization, strings, branes, supersymmetry, ideas on the deformation quantization, and lesser known results on the continuous Baker-Campbell-Hausdorff problem. CONTENTS......Page 10 Preface......Page 8 Part I. Historical Data......Page 13 Jerzy Plebanski: The Quest for New Worlds......Page 15 Pleasant Memories with Jerzy Plebanski......Page 35 My Recollections of Jerzy Plebanski......Page 38 Working with Pleban......Page 41 List of Plebanski's Publications......Page 45 Part II. Invited Papers (Proceedings Part)......Page 59 Organizing Committee......Page 60 The Higher-Energy Precursor of the AdS/CFT Correspondence......Page 61 How Black Holes Grow......Page 73 Some Theorems Related to the Jacobi Variational Principle of Analytical Dynamics......Page 87 Horizon Structure of Born-Infeld Black Hole......Page 103 Space-Time Torsion Contribution to Quantum Interference Phases......Page 113 Squeezing Operator and Squeeze Tomography......Page 121 A Producer of Universes......Page 133 Moyal Star-Product on a Hilbert Space......Page 149 Null-Kahler Structures Symmetries and Integrability......Page 159 Helicity Basis and Parity......Page 169 Second Order Supersymmetry Transformations in Quantum Mechanics......Page 179 Generalized Symmetries for the sDiff(2) Toda Equation......Page 189 Differential Equations and Cartan Connections......Page 205 N = 2 String Geometry and the Heavenly Equations......Page 213 Noncommutative Topological and Einstein Gravity from Noncommutative SL(2 C) BF Theory......Page 229 Conservation Laws Constants of the Motion and Hamiltonians......Page 245 Electromagnetic Wavelets as Hertzian Pulsed Beams in Complex Spacetime......Page 253 Generalized K-Deformations and Deformed Relativistic Scalar Fields on Noncommutative Minkowski Space......Page 267 Structure Formation in the Lemaitre-Tolman Cosmological Model (A Non-Perturbative Approach)......Page 291 Ramond-Ramond Fields in Orientifold Backgrounds and K-Theory......Page 303 Large N Field Theories String Theory and Gravity......Page 313 Yang-Mills Type BRST and co-BRST Algebra for Teleparallelism......Page 329 The Double Role of Einstein's Equations: As Equations of Motion and as Vanishing Energy-Momentum Tensor......Page 337 Alternative Elements in the Cayley-Dickson Algebras......Page 345 Coherent State Map and Deformations of Moyal Product......Page 359 On Uncertainty Relations and States in Deformation Quantization......Page 373 On the Dirac-Infeld-Plebanski Delta Function ......Page 385 Mathematical Structures in Perturbation Quantum Field Theory......Page 399 A Note on the Foundation of Relativistic Mechanics: Covariant Hamiltonian General Relativity......Page 409 The Magnus Series......Page 421 Singular Integral Equation Method for the Construction of Cylindrical Wave Solutions of the Einstein-Weyl Equations......Page 437 Geometric POV-Measures Pseudo-Kahlerian Functions and Time......Page 445 Teleparallelism Modified Born-Infeld Nonlinearity and Space-Time as a Micromorphic Ether......Page 453 Einstein's Intuition and the Post-Newtonian Approximation......Page 465 Deformation Theory and Physics Model Building......Page 481 Lanczos Potentials via the HH Formalism......Page 501 Spin Foam Model for 3D Gravity in the Continuum......Page 507 Part III. Informal Part......Page 515 Ecology of the Riemann Tensor......Page 523 Poem to Prof. Dr. Jerzy F. Plebanski......Page 525 Pt. 1. Historical data. Jerzy Plebanski : the quest for new worlds / H. Garcia-Compean [und weitere]. Pleasant memories with Jerzy Plebanski / D. Finley. My recollections of Jerzy Plebanski / A. Trautman. Working with Pleban / I. Robinson. List of Plebanski's publications -- pt. II. Invited papers (proceedings part). Organizing committee. The higher-energy precursor of the AdS/CFT correspondence / X. Amador [und weitere]. How black holes grow / A. Ashtekar. Some theorems related to the Jacobi variational principle of analytical dynamics / S.L. Bazanski. Horizon structure of Born-Infeld black hole / N. Breton. Space-time torsion contribution to quantum interference phases / A. Camacho & A. Macias. Squeezing operator and squeeze tomography / O. Castanos [und weitere]. A producer of universes / R. Cordero & E. Rojas. Moyal star-product on a Hilbert space / G. Dito. Null-Kahler structures, symmetries and integrability / M. Dunajski & M. Przanowski. Helicity basis and parity / V.V. Dvoeglazov. Second order supersymmetry transformations in quantum mechanics / D.J. Fernandez C. & A. Ramos. Generalized symmetries for the sDiff(2) Toda equation / D. Finley & J.K. Mciver. Differential equations and Cartan connections / S. Frittelli [und weitere]. N = 2 String geometry and the heavenly equations / H. Garcia-Compean. Noncommutative topological and Einstein gravity from noncommutative SL(2, C) BF theory / H. Garcia-Compean [und weitere]. Conservation laws, constants of the motion, and Hamiltonians / J. Goldberg. Electromagnetic wavelets as Hertzian pulsed beams in complex spacetime / G. Kaiser. Generalized k-deformations and deformed relativistic scalar fields on noncommutative Minkowski space / P. Kosinski [und weitere]. Structure formation in the Lemaitre-Tolman cosmological model (a non-perturbative approach) / A. Krasinski & C. Hellaby. Ramond-Ramond fields in orientifold backgrounds and K-theory / O. Loaiza-Brito. Large N field theories, string theory and gravity / J. Maldacena. Yang-Mills type BRST and co-BRST algebra for Teleparallelism / E.W. Mielke & A.A. Rincon Maggiolo. The double role of Einstein's equations : as equations of motion and as vanishing energy-momentum tensor / M. Montesinos. Alternative elements in the Cayley-Dickson algebras / G. Moreno. Coherent state map and deformations of Moyal product / A. Odzijewicz. On uncertainty relations and states in deformation quantization / M. Przanowski & F.J. Turrubiates. On the Dirac-Infeld-Plebanski delta function / O. Rosas-Ortiz. Mathematical structures in perturbation quantum field theory / M. Rosenbaum. A note on the foundation of relativistic mechanics : covariant Hamiltonian general relativity / C. Rovelli. The Magnus series / L. Saenz & R. Suarez. Singular integral equation method for the construction of cylindrical wave solutions of the Einstein-Weyl equations / N.R. Sibgatullin, A.A. Garcia & V.S. Manko. Geometric POV-measures, pseudo-Kahlerian functions and time / M. Skulimowski. Teleparallelism, modified Born-Infeld nonlinearity and space-time as a micromorphic ether / J.J. Slawianowski. Einstein's intuition and the post-Newtonian approximation / J. Stachel. Deformation theory and physics model building / D. Sternheimer. Lanczos potentials via the HH formalism / G.F. Torres del Castillo. Spin foam model for 3D gravity in the continuum / J.A. Zapata -- pt. III. Informal part. Ecology of the Riemann tensor / B. Mielnik. Poem to Prof. Dr. Jerzy F. Plebanski / N.V. Mitskievich (Mickiewicz) One of modern science's most famous and controversial figures, Jerzy Plebanski was an outstanding theoretical physicist and an author of many intriguing discoveries in general relativity and quantum theory. Known for his exceptional analytic talents, explosive character, inexhaustible energy, and bohemian nights with brandy, coffee, and enormous amounts of cigarettes, he was dedicated to both science and art, producing innumerable handwritten articles — resembling monk's calligraphy — as well as a collection of oil paintings.As a collaborator but also an antagonist of Leopold Infeld's (a coauthor of Albert Einstein's), Plebanski is recognized for designing the “heavenly” and “hyper-heavenly” equations, for introducing new variables to describe the gravitational field, for the exact solutions in Einstein's gravity and in quantum theory, for his classification of the tensor of matter, for some outstanding results in nonlinear electrodynamics, and for analyzing general relativity with continuous sources long before Chandrasekhar et al.A tribute to Plebański's contributions and the variety of his interests, this is a unique and wide-ranging collection of invited papers, covering gravity quantization, strings, branes, supersymmetry, ideas on the deformation quantization, and lesser known results on the continuous Baker-Campbell-Hausdorff problem. One of modern science's most famous and controversial figures, Jerzy Plebanski was an outstanding theoretical physicist and an author of many intriguing discoveries in general relativity and quantum theory. Known for his exceptional analytic talents, explosive character, inexhaustible energy, and bohemian nights with brandy, coffee, and enormous amounts of cigarettes, he was dedicated to both science and art, producing innumerable handwritten articles - resembling monk's calligraphy - as well as a collection of oil paintings. As a collaborator but also an antagonist of Leopold Infeld's (a coauthor of Albert Einstein's), Plebanski is recognized for designing the "heavenly" and "hyper-heavenly" equations, for introducing new variables to describe the gravitational field, for the exact solutions in Einstein's gravity and in quantum theory, for his classification of the tensor of matter, for some outstanding results in nonlinear electrodynamics, and for analyzing general relativity with continuous sources long before Chandrasekhar et al. A tribute to Plebaski's contributions and the variety of his interests, this is a unique and wide-ranging collection of invited papers, covering gravity quantization, strings, branes, supersymmetry, ideas on the deformation quantization, and lesser known results on the continuous Baker-Campbell-Hausdorff problem Jerzy Pleba ski was an outstanding theoretical physicist and an author of many intriguing discoveries in general relativity and quantum theory. A tribute to Pleba ski's contributions and the variety of his interests, this work covers gravity quantization, strings, branes, supersymmetry, and ideas on the deformation quantization.