Frontiers of Fundamental Physics 4 Proceedings of the Fourth International Symposium on Frontiers of Fundamental Physics, held December 9-13, 2000 in Hyderabad, India

This symposium was organized at the B.M. Birla Science Centre, Hyderabad, India, and provided a platform for frontier physicists to exchange ideas and review the latest work and developments on a variety of interrelated topics. A feature of the symposium, as well as the proceedings, is the B.M. Birla Memorial Lecture by Nobel Laureate Professor Gerard 't Hooft. There were participants from the USA, several European countries, Russia and CIS countries, South Africa, Japan, India and elsewhere, of whom some forty scientists presented papers. Spanning a wide range of contemporary issues in fundamental physics from string theory to cosmology, the proceedings present many of these talks and contributions. Front Matter....Pages i-ix A Confrontation With Infinity....Pages 1-12 The Self-Intersecting Brane World....Pages 13-28 A Model of the Spacetime Foam....Pages 29-39 Anti-Grand Unification and the Phase Transitions at the Planck Scale in Gauge Theories....Pages 41-54 The Structure of the Yang-Mills Vacuum Seen by Distant Observers....Pages 55-64 Scale relativity and non-differentiable fractal space-time....Pages 65-79 ’t Hooft dimensional regularization implies transfinite Heterotic String theory and dimensional transmutation....Pages 81-86 The Cantorian Gravity Coupling Constant is α gs ( max ) = 1/26.18033989....Pages 87-95 Fuzzy, Non Commutative SpaceTime: A New Paradigm for A New Century....Pages 97-107 Quarks as Vortices in Vacuum....Pages 109-120 φ 4 -Field theory on a Lie group....Pages 121-128 From Quantum Action to Quantum Chaos....Pages 129-143 Resolution of the Einstein-Podolsky-Rosen Nonlocality Puzzle....Pages 145-159 Classical and Quantum Solutions of 2+1 Dimensional Gravity....Pages 161-167 Gravitational Collapse....Pages 169-178 Gravitational Wave and Spiral Galaxy (Gravito Radiative Force)....Pages 179-188 Cosmology as a Format of Perceiving Reality....Pages 189-196 Schwarzschild Metrics, Quasi-Universes and Wormholes....Pages 197-205 Normalized Weyl-type *-product on Kähler manifolds....Pages 207-212 Non-dopplerian cosmological redshift parameters in a model of graviton-dusty universe....Pages 213-215 Deformed Algebras, q-Hermite Polynomials and q-Bessel Functions....Pages 217-221 Quantum Hamilton-Jacobi Formalism and Broken Supersymmetric WKB Approximation Scheme....Pages 223-233 Theory of Quantum Hall Effect: Effective Fractional Charge....Pages 235-249 Large Fractals in Condensed Matter Physics....Pages 251-256 Canonical Forms of Positive Definite Matrices under Congruence: Extensions of the Schweinler-Wigner Extremum Principle....Pages 257-267 A Novel Method to Solve Familiar Differential Equations and its Applications....Pages 269-277 Towards a Landau—Ginzburg Theory for Granular Fluids....Pages 279-292 The Concept of Probability in Statistical Mechanics....Pages 293-308 The “Mass Boom”: The Effect of the Expansion of the Universe on the Fundamental “Constants”....Pages 309-321 Do Virtual Field Quanta Follow Geodesics?....Pages 323-327 Masses and fields in Microdynamics: a possible foundation for dynamic gravity....Pages 329-343 Consistent Equation of Classical Gravitation to Quantum Limit and Beyond....Pages 345-348 Back Matter....Pages 349-359