TL;DR
This paper reviews recent developments in noncommutative geometry, proposing that gravitational fields may emerge from space-time commutation relations, offering insights into ultraviolet regularization.
Contribution
It introduces the idea that gravity can be understood as a consequence of noncommutative space-time structures, linking geometry with quantum regularization.
Findings
Space-time curvature can be defined via noncommutative geometry.
Gravitational phenomena may originate from space-time commutation relations.
Noncommutative geometry offers a potential framework for ultraviolet regularization.
Abstract
A review is made of recent efforts to define linear connections and their corresponding curvature within the context of noncommutative geometry. As an application it is suggested that it is possible to identify the gravitational field as a phenomenological manifestation of space-time commutation relations and to thereby clarify its role as an ultraviolet regularizer.
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