A fibre-bundle model with dual spacetimes (smooth manifold plus causal set) derives relative locality in general PQG theories without requiring momentum-space curvature.
Amelino-Camelia, Relativity in space-times with short distance structure governed by an observer independent (Planckian) length scale, Int
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In the DSR1 model with subluminal light-speed variation, a boosted box can overtake its own emitted photon above a critical rapidity, leading to tensions in particle counting and motion not resolved by relative locality.
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Generalized relative locality and causal sets
A fibre-bundle model with dual spacetimes (smooth manifold plus causal set) derives relative locality in general PQG theories without requiring momentum-space curvature.
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On the Consistency of Covariant Light-Speed Variation in Doubly Special Relativity
In the DSR1 model with subluminal light-speed variation, a boosted box can overtake its own emitted photon above a critical rapidity, leading to tensions in particle counting and motion not resolved by relative locality.