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Torsion, Frames and Quantum Bounces: Inflation and Ekpyrotic Contraction in Quantum Trajectory Cosmology with a Non-Minimally Coupled Scalar — arXiv:2611.02036

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arXiv (en)

Original

https://arxiv.org/abs/2611.02036

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CC0-1.0

Archived

2026-11-03T19:06:46.120Z

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3ad83bb8f17b48c8c4196027a8bd37242c9319f80505791bec8a0fd213702508

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Torsion, Frames and Quantum Bounces: Inflation and Ekpyrotic Contraction in Quantum Trajectory Cosmology with a Non-Minimally Coupled Scalar — arXiv:2611.02036 — arXiv (en), https://arxiv.org/abs/2611.02036 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_46cc58d475cb (Metraipolis archive dc_46cc58d475cb, sha256 3ad83bb8f17b48c8c4196027a8bd37242c9319f80505791bec8a0fd213702508)

@misc{dc46cc58d475cb,
  title = {Torsion, Frames and Quantum Bounces: Inflation and Ekpyrotic Contraction in Quantum Trajectory Cosmology with a Non-Minimally Coupled Scalar — arXiv:2611.02036},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2611.02036},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_46cc58d475cb; sha256 3ad83bb8f17b48c8c4196027a8bd37242c9319f80505791bec8a0fd213702508},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2611.02036. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

We study the de Broglie-Bohm quantum cosmology of a scalar field non-minimally coupled to a metric-compatible Riemann-Cartan geometry, comparing inflation with ekpyrotic contraction. The torsion trace is auxiliary and is eliminated algebraically before quantisation. The minisuperspace metric depends on the coupling $F(\phi)$ and a constant $\kappa$ for an independent quadratic torsion term ($\kappa=0$ Einstein-Cartan, $\kappa\to\infty$ torsion-free). For every $F$, $\kappa$ and potential this metric is conformally flat, so torsion acts only through the Einstein-frame kinetic function $K(\phi)$. Its curvature is therefore not a diagnostic of torsion, and the Laplace-Beltrami Wheeler-DeWitt equation, quantum potential and Bohmian trajectories are frame covariant. For a massless scalar the equation is solved exactly; in a two-packet state all 41 flux-weighted Bohmian trajectories bounce in the Einstein frame. In the Jordan frame the bounce at the symmetric event is independent of torsion and persists only for $\xi<\xi_c$ (closed form); torsion changes the late-time exponent from $1-\sqrt{6\xi/(1+6\xi)}$ to $1-\sqrt{6\xi}$. The bounce comes from interference in the state, not from torsion. For exponential potentials, exact Wheeler-DeWitt solutions show that in the sector containing the ekpyrotic attractor no Bohmian trajectory bounces, and single-momentum states bounce only where the potential is negligible and end in the crunch. For quadratic inflation the torsion-specific shift of $r$ is below one per cent. A single ekpyrotic field gives blue spectra, $n_s=3+2/(\epsilon-1)$ and $r=16\epsilon$, whatever the torsion, also for running $\epsilon$. In an entropic two-field version the tilt shifts at order $\sqrt\xi$ (non-minimal coupling) and $\xi^{3/2}$ (torsion). Tensor modes cross the massless Bohmian bounce almost unchanged and stay blue.

Tema degli esploratori: fisica e astronomia (elenco arXiv gr-qc, nuovi lavori del giorno).
Categorie arXiv: General Relativity and Quantum Cosmology (gr-qc).
Pagina del lavoro: https://arxiv.org/abs/2611.02036 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-11-03T18:23:07.800Z dalla pagina https://arxiv.org/list/gr-qc/new (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).