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@ARTICLE{Patellis:641963,
author = {Patellis, Gregory and Roumelioti, Danai and Stefas, Stelios
and Zoupanos, George},
title = {{U}nification of {C}onformal and {F}uzzy {G}ravities {W}ith
{I}nternal {I}nteractions {R}esulting in {SO}(10) and a
{P}ossible {P}robe {T}hrough {S}tochastic {G}ravitational
{W}ave {B}ackground},
reportid = {PUBDB-2025-05250, arXiv:2504.06142},
year = {2025},
note = {41 pages, 2 tables, 4 figures},
abstract = {<jats:title>Abstract</jats:title><jats:p>The unification of
conformal and fuzzy gravities with internal interactions is
based on the facts that i) the tangent group of a curved
manifold and the manifold itself do not necessarily have the
same dimensions and ii) both gravitational theories
considered here have been formulated in a gauge theoretic
way. The gauge‐theoretic approach of gravities, commenting
in particular on their diffeomorphism invariance, and the
construction of conformal and noncommutative (fuzzy) gravity
using the gauge‐theoretic framework are reviewed. Based on
an extension of the four‐dimensional tangent group,
unification of both gravities with the internal interactions
is achieved. Both unified schemes are examined at 1‐loop
level considering suitable spontaneous symmetry breakings to
a grand unified theory and consequently down to the Standard
Model of particle physics through four specific spontaneous
symmetry breaking channels. Each channel is examined against
proton lifetime experimental bounds and its observation
potential through gravitational signal from cosmic strings
production is discussed.</jats:p>},
cin = {T},
ddc = {530},
cid = {I:(DE-H253)T-20120731},
pnm = {611 - Fundamental Particles and Forces (POF4-611) / DFG
project G:(GEPRIS)390833306 - EXC 2121: Quantum Universe
(390833306)},
pid = {G:(DE-HGF)POF4-611 / G:(GEPRIS)390833306},
experiment = {EXP:(DE-MLZ)NOSPEC-20140101},
typ = {PUB:(DE-HGF)25},
eprint = {2504.06142},
howpublished = {arXiv:2504.06142},
archivePrefix = {arXiv},
SLACcitation = {$\%\%CITATION$ = $arXiv:2504.06142;\%\%$},
url = {https://bib-pubdb1.desy.de/record/641963},
}