Related papers: Geometry and Physics: An Overview
Quantum mechanics, one of the most successful theories in the history of science, was created to account for physical systems not describable by classical physics. Though it is consistent with all experiments conducted thus far, many of its…
This article gives an overview, aimed at theoretical particle physicists, of some recent developments in cosmology.
General Relativity (GR) revolutionized the way we thought about gravity. After briefly describing the key successes of GR and its impact, I will discuss the major conceptual challenges it faces today. I conclude by outlining the prospective…
This text is a slightly edited version of lecture notes for a course I gave at ETH, during the Winter term 2000-2001, to undergraduate Mathematics and Physics students. Contents: Chapter 1 - Examples of Dynamical Systems Chapter 2 -…
A (updated) summary of the Photon-Photon and Electron-Photon physics session is presented.
This is a compilation of some well known propositions of Alain Connes concerning the use of noncommutative geometry in mathematical physics.
A review article on the physics of beam-beam interactions in circular colliders.
The question that guides our discussion is "how did the geometry and particles come into being?" To explore this query we suggest the theory of goyaks, which reveals the primordial deeper structures underlying fundamantal concepts of…
A short survey on applications of algebraic geometry in topological data analysis.
We discuss several rigidity and flexibility phenomena in the context of Poisson geometry.
Survey talk on certain aspects of the subject, stressing the neighbor relation as a basic notion in differential geometry.
A reconciliation of gravitation and electromagnetism has eluded physics for neearly a century. It is argued here that this is because both quantum physics and classical physics are set in differentiable space time manifolds with point…
The quest for the physics underlying the breaking of the electroweak symmetry and the generation of mass is surveyed.
We shortly review the state of art and perspectives of Extended Theories of Gravity.
We survey what is known about various special types of submanifolds of contact manifolds and discuss their role in the development of contact geometry.
Science has traditionally played an important role in sharing knowledge among people. Particle Physics, with its large experiments, has shown that one not only can share the knowledge among different cultures, but that one can also work…
There is no mysterious link between mathematics and physics, because both of them are human inventions designed to study the world.
This brief note, written for non-specialists, aims at drawing an introductive overview of the multiverse issue.
A brief overview is given of recent progress in understanding the dynamics of hot gauge theories.
Experiment plays a decisive role in physics. It is the single source of our understanding of nature. But, during the last century the main accent in theoretical physics has moved toward metaphysics. Some mathematicians/theoreticians try to…