Quantum Physics and Fluctuating Topologies: Survey

Abstract

The spin-statistics connection, quantum gravity and other physical considerations suggest that classical space-time topology is not an immutable attribute and can change in quantum physics. The implementation of topology change using quantum principles has been studied for over two decades by a few of us. There has been a recent revival of interest in some of our work, dating back to as early as 1995. The present paper is meant as a resource article to our major relevant papers. It contains summaries of the contents of the cited papers and the corresponding links wherever available.

6 pages

References in corpus (9)

• Global Theory of Quantum Boundary Conditions and Topology Change
• Topology Change and Causal Continuity
• TOPOLOGY CHANGE AND QUANTUM PHYSICS
• Vacuum Energy and Renormalization on the Edge
• Models of Topology Change
• Mixed States from Anomalies
• The Spin-Statistics Connection in Quantum Gravity
• Three lectures on global boundary conditions and the theory of self--adjoint extensions of the covariant Laplace--Beltrami and Dirac operators on Riemannian manifolds with boundary
• Nonexistence of marginally trapped surfaces and geons in 2+1 gravity

Cited by in corpus (5)

• Attractive and Repulsive Casimir Vacuum Energy with General Boundary Conditions
• Quantum systems with time-dependent boundaries
• Self-adjoint extensions and unitary operators on the boundary
• Boundary Effects in Bosonic and Fermionic Field Theories
• Nilpotence and the generalized uncertainty principle(s)