A Model for the Pioneer Anomaly
Ivan G. Avramidi, Guglielmo Fucci

TL;DR
This paper proposes that a non-geodesic acceleration predicted by a modified gravity theory could explain the Pioneer anomaly observed in spacecraft trajectories.
Contribution
It introduces a non-commutative deformation of General Relativity that predicts non-geodesic acceleration, potentially accounting for the Pioneer anomaly.
Findings
Non-geodesic acceleration in Matrix Gravity matches Pioneer anomaly
Modified gravity theory offers a new explanation for spacecraft acceleration
Potential implications for understanding gravitational anomalies
Abstract
In a previous work we showed that massive test particles exhibit a non-geodesic acceleration in a modified theory of gravity obtained by a non-commutative deformation of General Relativity (so-called Matrix Gravity). We propose that this non-geodesic acceleration might be the origin of the anomalous acceleration experienced by the Pioneer 10 and Pioneer 11 spacecrafts.
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