Frontiers of Fundamental Physics 4

1. A Confrontation with infinity.- 2. The self-intersecting brane world.- 3. A model of the spacetime foam.- 4. Anti-grand unification and the phase transitions at the Planck scale in gauge theories.- 5. The structure of the Yang-Mills Vacuum seen by distant observers.- 6. Scale relativity and non-differentiable fractal space-time.- 7. ’t Hooft dimensional regularization implies transfinite Heterotic string theory and dimensional transmutation.- 8. The Cantorian gravity coupling constant is ?gs(max) = 1/26.18033989.- 9. Fuzzy, non commutative spacetime: A new paradigm for a new century.- 10. Quarks as vortices in vacuum.- 11. ?4 - Field theory on a Lie group.- 12. From quantum action to quantum chaos.- 13. Resolution of the Einstein-Podolsky-Rosen nonlocality puzzle.- 14. Classical and quantum solutions of 2+1 dimensional gravity.- 15. Gravitational collapse.- 16. Gravitational wave and spiral galaxy (Gravito-Radiative Force).- 17. Cosmology as a fonnat of perceiving reality.- 18. Schwarzschild metrics, quasi-universes and wormholes.- 19. Normalized Weyl-type *-product on Kahler manifolds.- 20. Non-dopplerian cosmological redshift parameters in a model of graviton-dusty universe.- 21. Deformed algebras,q-Hermite polynomials and q-Bessel functions.- 22. Quantum Hamilton-Jacobi formalism and broken supersymmetric WKB approximation scheme.- 23. Theory of quantum Hall effect: Effective fractional charge.- 24. Large fractals in condensed matter physics.- 25. Canonical forms of positive definite matrices under congruence: Extensions of the Schweinler-Wigner extremum principle.- 26. A novel method to solve familiar differential equations and its applications.- 27. Towards a Landau-Ginzburg theory for granular fluids.- 28. The concept of probability in statisticalmechanics.- 29. The “mass boom”: The effect of the expansion of the universe on the fundamental “Constants”.- 30. Do virtual field quanta follow geodesics?.- 31. Masses and fields in microdynamics: A possible foundation for dynamic gravity.- 32. Consistent equation of classical gravitation to quantum limit and beyond.