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arXiv · hep-th/0509067

A Matrix Model for Misner Universe and Closed String Tachyons

Jian-Huang She
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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 non-local. 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, where space and time do not commute. When realized cosmologically there can be controllable trans-planckian effects. And the infinite past is now causally connected with the infinite future, thus also 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.

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Jian-Huang She. 2005-12-13. A Matrix Model for Misner Universe and Closed String Tachyons. https://doi.org/10.1088/1126-6708%2F2006%2F01%2F002

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