A finite-dimensional quantum model with commensurable energy eigenvalues and minimum-entropy initial condition yields exact periodicity and a distinguished entropy minimum that may represent the Big Bang while suppressing Boltzmann Brains.
The Hilbert Space of Quantum Gravity Is Locally Finite-Dimensional
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abstract
We argue in a model-independent way that the Hilbert space of quantum gravity is locally finite-dimensional. In other words, the density operator describing the state corresponding to a small region of space, when such a notion makes sense, is defined on a finite-dimensional factor of a larger Hilbert space. Because quantum gravity potentially describes superpo- sitions of different geometries, it is crucial that we associate Hilbert-space factors with spatial regions only on individual decohered branches of the universal wave function. We discuss some implications of this claim, including the fact that quantum field theory cannot be a fundamental description of Nature.
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gr-qc 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
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Toward a Phenomenologically Acceptable Quantum Cyclic Universe
A finite-dimensional quantum model with commensurable energy eigenvalues and minimum-entropy initial condition yields exact periodicity and a distinguished entropy minimum that may represent the Big Bang while suppressing Boltzmann Brains.