Sphere amplitudes and observing the universe’s size
- 1Institute for Advanced Study
- 2Massachusetts Institute of Technology
Abstract
A bstract Sine dilaton gravity is holographically related to DSSYK. We explain how to interpret sine dilaton as 2d quantum cosmology. This paves the way for using two copies of DSSYK as hologram for Big-Bang cosmologies. We study the most basic cosmological observable: the sphere amplitude. Via canonical quantization we find a finite answer that matches the on-shell action of a dual matrix integral. The sphere amplitude (or the norm of the no-boundary wavefunction) also gives a prediction for the universe’s size. In the context of slow-roll inflation, the no-boundary state is non-normalizable, and predicts a small universe, in contradiction with experiments. We argue that an avatar of these issues exists in dS JT gravity. By considering sine dilaton as a UV completion of dS JT gravity, the state becomes normalizable. We then consider the observer’s no-boundary state and show that this prefers neither small nor large universes. The resulting distribution is flat.
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BibTeX
@article{blommaert2026sphere,
title = {{Sphere amplitudes and observing the universe’s size}},
author = {Andreas Blommaert and Adam Levine},
journal = {Journal of High Energy Physics},
year = {2026},
month = jul,
doi = {10.1007/jhep07(2026)136},
url = {https://doi.org/10.1007/jhep07(2026)136},
note = {CC BY},
}
RIS
TY - JOUR
TI - Sphere amplitudes and observing the universe’s size
AU - Andreas Blommaert
AU - Adam Levine
PY - 2026
DA - 2026/07/15
JO - Journal of High Energy Physics
DO - 10.1007/jhep07(2026)136
UR - https://doi.org/10.1007/jhep07(2026)136
AB - A bstract Sine dilaton gravity is holographically related to DSSYK. We explain how to interpret sine dilaton as 2d quantum cosmology. This paves the way for using two copies of DSSYK as hologram for Big-Bang cosmologies. We study the most basic cosmological observable: the sphere amplitude. Via canonical quantization we find a finite answer that matches the on-shell action of a dual matrix integral. The sphere amplitude (or the norm of the no-boundary wavefunction) also gives a prediction for the universe’s size. In the context of slow-roll inflation, the no-boundary state is non-normalizable, and predicts a small universe, in contradiction with experiments. We argue that an avatar of these issues exists in dS JT gravity. By considering sine dilaton as a UV completion of dS JT gravity, the state becomes normalizable. We then consider the observer’s no-boundary state and show that this prefers neither small nor large universes. The resulting distribution is flat.
SN - 1029-8479
SN - 1126-6708
SN - 1127-2236
ER -