The assumption that de Sitter space is described by a finite-dimensional quantum system, combined with semiclassical considerations and principles of quantum measurement theory, leads to ambiguity in any theoretical model of such a space. If the observable Universe asymptotically approaches a de Sitter state and can be embedded in a sequence of models converging to a nonperturbative completion of a unique superstring model in asymptotically flat space, then it is possible to construct an exact mathematical model. However, even the most exhaustive experiments available to local detectors can measure only a small fraction of the total number of qubits in the system.
The Universe is a finite book. Its accelerated expansion, fueled by dark energy, binds distant pages, turning them into inaccessible chapters. Accelerating expansion draws a horizon, just like a black hole does: what lies beyond is lost. But the quantum nature of the text is even more treacherous: reading changes the letters. John von Neumann showed that an observer sees only the response, not the original.
No matter how elegant a model of the Universe is, it can't be fully tested. The total amount of information (its entropy) is large but finite, and only a tiny fraction is accessible. Leonard Susskind and Eugene Wigner uncovered fundamental blind spots for any observer. Here's a twist: the more detailed the attempt to describe curved spacetime, the more measurements distort the overall picture. There is no single plot you can follow to the very end.
🎯 If the Universe is a book with a finite number of pages, its total entropy (a measure of uncertainty) is like the maximum number of letters. That's why scientists speak of a 'digital' footprint of reality.
🎬 The metaphor of a book with unreachable chapters comes from Borges' story 'The Library of Babel'—where characters seek an absolute book, doomed to eternal incompleteness.