Eternal Inflation, past and future Anthony Aguirre1 Department of Physics/SCIPP UC Santa Cruz 1156 High St., Santa Cruz, CA 95064
[email protected] Cosmological inflation, if it occurred, radically alters the picture of the `big bang', which would merely point to reheating at the end of inflation. More- over, this reheating may be only local so that inflation continues elsewhere and forever, continually spawning big-bang-like regions. This chapter reviews this idea of `eternal inflation’, then focuses on what this may mean for the ul- timate beginning of the universe. In particular, I will argue that given eternal inflation, the universe may be free of a cosmological initial singularity, might be eternal (and eternally inflating) to the past, and might obey an interesting sort of cosmological time-symmetry. 1 The inflationary Genie Cosmological inflation, as discussed at length in Chapter 2, was developed as a means of explaining the very simple yet specific `initial' conditions that define the hot big-bang cosmological model. But while inflation grants the wish of providing a very large, uniform, hot, monopole-free region with ap- propriate density fluctuations, it is also, like the proverbial Genie let out of the bottle, difficult to contain. In most inflation models, the selfsame accel- erated expansion that allows inflation’s explanatory and predictive successes also completely changes the ultra-large-scale structure of the universe in which it occurs, through the process of `everlasting' or `eternal' inflation.1 In this picture, once inflation starts, it continues forever { at least some- where { continually spawning non-inflating regions large enough to be our arXiv:0712.0571v1 [hep-th] 4 Dec 2007 entire observable universe.