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The principle of horizon complementarity is an attempt to extend ideas aboutblack hole complementarity to all horizons, including cosmological ones. Theidea is that the degrees of freedom necessary to describe the interior of thecosmic horizon of one observer in a given universe are in fact sufficient toaccount for the physics of that entire universe: the remainder is just a set ofredundant copies of the interior of a single cosmic horizon. These copies mustbe factored out, just as one has to factor out gauge redundancies to identifythe true degrees of freedom in gauge theory. Motivated by the observation thatquantum cosmology favours compactified negatively curved spatial sections, wepropose to use such geometries to implement horizon complementarity for eternalInflation. We point out that the "effective finiteness" of such universes hasimportant consequences for physics inside the observer's horizon: there is anon-local effect, represented by a Casimir energy. We use our proposedinterpretation of complementarity to constrain the gravitational Casimircoupling in two very different ways; the result is an explicit prediction forthe value of the coupling.

Horizon Complementarity and Casimir Violations of the Null Energy Condition