10–14 Feb 2025
Tux Center
Europe/Berlin timezone

Observable signatures of quantum spin connection foam

10 Feb 2025, 18:50
30m
Tux Center

Tux Center

Lanersbach 401 A-6293 Tux Austria

Speaker

Igor Kanatchikov (Natl. Quantum Information Center in Gdansk)

Description

Quantum spin connection foam (SCF) arises within the precanonical quantization of general relativity as a description of the quantum geometry of spacetime in terms of the amplitudes on the spin connection bundle, derived from the precanonical Schr\"odinger equation. We show that it leads to observable signatures such as a small Milgromian acceleration $g_0 \sim 8\pi \hbar G \varkappa$ and a small cosmological constant $\Lambda \sim (8\pi \hbar G \varkappa)^2$. The smallness of these values is attributed to the hadronic scale of the constant $\varkappa$, which emerges in precanonical quantization on dimensional grounds and is related to the hadronic mass gap scale in nonabelian gauge theories of the Standard Model. By considering a nonrelativistic test particle moving in the gravitational field of a point mass on a background of the SCF described by the simplest solution of the precanonical Schr\"odinger equation for quantum gravity, we derive a modified Newtonian potential and recover the Milgromian MOND, which describes flat galactic rotation curves without dark matter. We also present estimations showing that the effects of SCF can already be tested in tabletop experiments, potentially be seen in anomalies of dynamics of the outer Solar System, and play a role in the dynamics and formation of large-scale structures in the Universe.

Based on:
DOI:10.1007/978-3-031-62407-0_26,
DOI:10.1088/1742-6596/2533/1/012037,
DOI:10.13140/RG.2.2.29652.72328/1,
DOI:10.1142/9789813226609_0352,
DOI:10.1063/1.4791728,
DOI:10.1142/9789813226609_0519.

Primary author

Igor Kanatchikov (Natl. Quantum Information Center in Gdansk)

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