What question did this study set out to answer?

To propose a UV-complete theory of gravity using the Einstein–Skyrme system on a Planck-scale causal lattice.

January 14, 20260 citationsOpen Access

A New Paradigm of Einstein–Skyrme Theory on a Planck-Scale Causal Lattice

Key Points

To propose a UV-complete theory of gravity using the Einstein–Skyrme system on a Planck-scale causal lattice.
Developed a new framework using the Einstein–Skyrme theory on a lattice at Planck scale.
Utilized a topological regulator to set a UV cutoff at the scale of quantum gravity.
The model passes solar-system tests via Vainshtein screening.
Predicted a chiral primordial gravitational-wave background at a frequency of 2.87 mHz.
Found enhanced tensor-tensor-tensor non-Gaussianity expected to be of the order of 10.

Abstract

We propose a UV-complete theory of gravity by placing the Einstein--Skyrme system on a Planck-scale causal lattice. The Skyrme field (SU (2) ) provides a topological regulator via ₃ (SU (2) ) =Z, setting a cutoff ₔₕ=2/ ₏₋. The model passes solar-system tests via Vainshtein screening and predicts a chiral primordial gravitational-wave background peaking at f=2. 870. 03\, mHz (₆ₖ h² 10^-12), detectable by LISA. The tensor-tensor-tensor non-Gaussianity is enhanced, f ₍₋^ GW O (10). This theory not only builds a connecting path for the unification of quantum gravity and classical gravity, but also provides physical predictions that can be tested by gravitational wave observations, opening new avenues for addressing fundamental issues such as the nature of spacetime and cosmic evolution.

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