Not One Bit of de Sitter Information

TL;DR

This paper demonstrates that in de Sitter space, energy conservation and quantum principles prevent any observer from obtaining information from the horizon, thus preserving the no-cloning principle and supporting observer complementarity.

Contribution

It formulates the de Sitter information paradox using quantum no-cloning and energy bounds, showing no information can be observed from the horizon.

Findings

Energy conservation limits de Sitter entropy accessible to observers.

Observers cannot obtain any information from the de Sitter horizon.

Supports the principle of observer complementarity in de Sitter space.

Abstract

We formulate the information paradox in de Sitter space in terms of the no-cloning principle of quantum mechanics. We show that energy conservation puts an upper bound on the maximum entropy available to any de Sitter observer. Combined with a general result on the average information in a quantum subsystem, this guarantees that an observer in de Sitter space cannot obtain even a single bit of information from the de Sitter horizon, thereby preventing any observable violations of the quantum no-cloning principle, in support of observer complementarity.