6 Ergebnisse.

This book is an introduction to knot and link invariants as generalized amplitudes (vacuum-vacuum amplitudes) for a quasi-physical process. The demands of knot theory, coupled with a quantum statistical framework, create a context that naturally and powerfully includes an extraordinary range of interrelated topics in topology and mathematical physics. The author takes a primarily combinatorial stance toward knot theory and its relations with t...

There has not been a scientific revolution for about 100 years. One seems imminent, as QED has recently been violated at the Sigma-6 level. Kuhn, in 'The Structure of Scientific Revolutions', used Wittgenstein's famous duck-rabbit optical illusion to demonstrate how bias in interpretation causes scientists to see the same information in radically different manners, which is likely to have delayed the pending paradigm shift. Jean-Pierre Vigier,...

This book is divided into two parts: Part one is a systematic course in knots and physics starting from the ground up. Part two is a set of lectures on various topics related with and sometimes based on part one. It also explores some side-topies such as frictional properties of knots, relations with combinatorics, knots and dynamical systems. In this second edition, an appendix has been added with a discussion of invariants of embedded graphs...

Unified Field Mechanics, the topic of the 9th international symposium honoring noted French mathematical physicist Jean-Pierre Vigier cannot be considered highly speculative as a myopic critic might surmise. The 8th Vigier Symposium proceedings "The Physics of Reality" should in fact be touted as a companion volume because of its dramatic theoretical Field Mechanics in additional dimensionality. Many still consider the Planck-scale zero-point ...

This book constitutes a review volume on the relatively new subject of Quantum Topology. Quantum Topology has its inception in the 1984/1985 discoveries of new invariants of knots and links (Jones, Homfly and Kauffman polynomials). These invariants were rapidly connected with quantum groups and methods in statistical mechanics. This was followed by Edward Witten's introduction of methods of quantum field theory into the subject and the formula...

This book constitutes a review volume on the relatively new subject of Quantum Topology. Quantum Topology has its inception in the 1984/1985 discoveries of new invariants of knots and links (Jones, Homfly and Kauffman polynomials). These invariants were rapidly connected with quantum groups and methods in statistical mechanics. This was followed by Edward Witten's introduction of methods of quantum field theory into the subject and the formula...