Some Problems of Topology Change Description in the Theory of Space-Time

Abstract

The problem of topology change description in gravitation theory is analized in detailes. It is pointed out that in standard four-dimensional theories the topology of space may be considered as a particular case of boundary conditions (or constraints). Therefore, the possible changes of space topology in (3+1)-dimensions do not admit dynamical description nor in classical nor in quantum theories and the statements about dynamical supressing of topology change have no sence. In the framework of multidimensional theories the space (and space-time) may be considered as the embedded manifolds. It give the real posibilities for the dynamical description of the topology of space or space-time.

16 pages, LaTex; some misprints, which prevent generation of PS file, are corrected

References in corpus (6)

• Spacetime as a membrane in higher dimensions
• Dynamical Topology Change in String Theory
• Exotic Smoothness and Physics
• Topology Change in Classical General Relativity
• Topology Change in (2+1)-Dimensional Gravity
• Topology changing processes and symmetries of string effective action

Cited by in corpus (5)

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• The origin of the difference between space and time
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• Unified meta-theory of information, consciousness, time and the classical-quantum universe