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Peer-reviewedCC BY 4.0The European Physical Journal C

Quantum relaxation dynamics of vacuum energy from pre-geometric gravity

  1. 1Anqing Normal University
  2. 2University of Science and Technology of China
  3. 3Laboratori Nazionali di Frascati INFN

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> ⋯> Λ k > ⋯, where the Cosmological Constant decreases monotonically toward the asymptotic attractor Λ ∞ = 0.

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BibTeX
@article{addazi2026quantum,
  title = {{Quantum relaxation dynamics of vacuum energy from pre-geometric gravity}},
  author = {Andrea Addazi},
  journal = {The European Physical Journal C},
  year = {2026},
  month = nov,
  doi = {10.1140/epjc/s10052-026-16518-x},
  url = {https://link.springer.com/article/10.1140/epjc/s10052-026-16518-x},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Quantum relaxation dynamics of vacuum energy from pre-geometric gravity
AU  - Andrea Addazi
PY  - 2026
DA  - 2026/11/09
JO  - The European Physical Journal C
DO  - 10.1140/epjc/s10052-026-16518-x
UR  - https://link.springer.com/article/10.1140/epjc/s10052-026-16518-x
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> ⋯> Λ _k > ⋯, where the Cosmological Constant decreases monotonically toward the asymptotic attractor Λ _∞ = 0.
SN  - 1434-6052
ER  -