Quantum Relaxation Dynamics of Vacuum Energy from Pre-Geometric Gravity
Abstract
We investigate a quantum relaxation mechanism for the vacuum energy density arising from the spontaneous symmetry breaking (SSB) SO(1,4)→ SO(1,3), driven by a Higgs field Φ in a MacDowell--Mansouri pre-geometric gravity framework. The theory predicts a countably infinite set of vacua, corresponding to distinct topological sectors, for a periodic Higgs potential with intervening barriers. This structure gives rise to a series of dualities and see-saw relations connecting fundamental scales---the Planck mass and the Cosmological Constant---to topological parameters such as the Gauss-Bonnet coupling and the θ-term, all of which emerge only after SSB. A striking consequence is the quantization of the vacuum energy into discrete levels. Starting from a vacuum expectation value ⟨ Φ⟩ = v1 associated with a large vacuum energy, the system evolves via quantum tunneling through the infinite landscape of minima. Crucially, we demonstrate that the transition probability is maximized for the ordered sequence $ Λ_1 > \cdots > Λ_k > \cdots$, where the Cosmological Constant decreases monotonically toward the asymptotic attractor Λ∞ = 0.
Related
- Information-geometric bounds on nonequilibrium relaxation in quantum Markov dynamics
- Dihedral Symmetry in Vacuum from Spontaneously Broken Pre-Geometric Gravity
- Finite-Time Bounds on Conformal Vacuum Energy Relaxation in Scalar-Tensor Gravity
- Vacuum stability in Geometric Trinity of Gravity
- Scalar Vacuum Polarization in Loop Quantum Gravity Black Holes
BibTeX
@misc{addazi2026quantum,
title = {{Quantum Relaxation Dynamics of Vacuum Energy from Pre-Geometric Gravity}},
author = {Andrea Addazi},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.26197},
eprint = {2610.26197},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.26197},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Quantum Relaxation Dynamics of Vacuum Energy from Pre-Geometric Gravity
AU - Andrea Addazi
PY - 2026
DA - 2026/10/19
PB - arXiv
DO - 10.48550/arxiv.2610.26197
UR - https://arxiv.org/abs/2610.26197
AB - We investigate a quantum relaxation mechanism for the vacuum energy density arising from the spontaneous symmetry breaking (SSB) SO(1,4)→ SO(1,3), driven by a Higgs field Φ in a MacDowell--Mansouri pre-geometric gravity framework. The theory predicts a countably infinite set of vacua, corresponding to distinct topological sectors, for a periodic Higgs potential with intervening barriers. This structure gives rise to a series of dualities and see-saw relations connecting fundamental scales---the Planck mass and the Cosmological Constant---to topological parameters such as the Gauss-Bonnet coupling and the θ-term, all of which emerge only after SSB. A striking consequence is the quantization of the vacuum energy into discrete levels. Starting from a vacuum expectation value ⟨ Φ⟩ = v_1 associated with a large vacuum energy, the system evolves via quantum tunneling through the infinite landscape of minima. Crucially, we demonstrate that the transition probability is maximized for the ordered sequence $ Λ_1 > \cdots > Λ_k > \cdots$, where the Cosmological Constant decreases monotonically toward the asymptotic attractor Λ_∞ = 0.
ER -