Journal Article

PUBDB-2026-00529

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Unification of Conformal and Fuzzy Gravities with Internal Interactions—Study of Their Behaviour at Low Energies and Possible Signals in the Detection of Gravitational Waves

Patellis, G. (Corresponding author) ; Roumelioti, D. ; Stefas, S. ; Zoupanos, G.Extern*DESY*

2025
MDPI Basel

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Please use a persistent id in citations: doi:10.3390/sym17122055  doi:10.3204/PUBDB-2026-00529

Abstract: In this work, we develop a unified framework for Conformal Gravity and Noncommutative (Fuzzy) Gravity incorporating internal interactions. Our approach relies on two fundamental observations: first, the dimensions of a curved manifold and those of its tangent group need not coincide, and second, both gravitational models can be formulated as gauge theories. We begin with a discussion of the gauge-theoretic formulation of gravitational dynamics, emphasizing the role of diffeomorphism invariance. We then outline the constructions of Conformal Gravity and Fuzzy Gravity within this formalism. Building on an extension of the four-dimensional tangent group, we propose a scheme that unifies the two theories while naturally incorporating internal degrees of freedom. We further investigate the low-energy limits that emerge after appropriate spontaneous symmetry-breaking mechanisms, and we comment on potential observational signatures—particularly those associated with cosmic strings and their imprint on gravitational-wave spectra.

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Contributing Institute(s):

1. Theorie-Gruppe (T)

Research Program(s):

1. 611 - Fundamental Particles and Forces (POF4-611) (POF4-611)
2. DFG project G:(GEPRIS)390833306 - EXC 2121: Das Quantisierte Universum II (390833306) (390833306)

Experiment(s):

1. No specific instrument

Appears in the scientific report 2025

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