The Universe as a Sequence of Phase Transitions of a Single Quantum Gravity Condensate
Abstract
We present a unified cosmological model in which the entire history of the Universe emerges from a single fundamental quantum field — the Group Field Theory (GFT) field — through a sequence of phase transitions. The model is built from three independent sectors that are later linked by a common far‑from‑equilibrium transition: a homogeneous condensate that drives inflation, coherent private‑spacetime lumps that constitute matter, and a decohered gauge‑singlet virtual foam that provides dark energy. We derive an effective condensate evolution equation that captures condensation, inflation, the Coherent–Decoherent Spacetime Transition (CDST), and the post‑CDST decay, all controlled by running GFT couplings. Coupling this equation to the Einstein equations yields a self‑consistent dynamical system that reproduces the full cosmic expansion history: a primordial quasi‑de-Sitter phase, radiation and matter domination, and a late‑time accelerated expansion driven by the foam entropy. The dark‑energy density is obtained from the Bekenstein–Hawking entropy and the dynamical temperature of the apparent cosmological horizon, leading to the master formula \( \Omega_{\mathrm{DE},0} = \alpha_{\mathrm{foam},0}^{\mathrm{eff}} \), with a raw horizon‑puncture activation fraction \( \approx 0.96 \) for the self‑consistent background. A benchmark thawing quintessence yields \( w_0 \simeq -0.90,\; w_a \simeq -0.12\ \). The CDST is genuinely irreversible and provides a microscopic origin for the…
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