A Matrix Model for Misner Universe
Preprint
Abstract
We use D-instantons to probe the geometry of Misner universe, and calculate the world volume field theory action, which is of the 1+0 dimensional form and highly nonlocal. Turning on closed string tachyons, we see from the deformed moduli space of the D-instantons that the spacelike singularity is removed and the region near the singularity becomes a fuzzy cone. The infinite past is now causally connected with the infinite future, thus providing a model for big crunch/big bang transition. In the spirit of IKKT matrix theory,we propose that the D-instanton action here provides a holographic description for Misner universe and time is generated dynamically.In addition we show that winding string production from the vacua and instability of D-branes have simple uniform interpretations in this second quantized formalism.Keywords
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