Gravity is often described as mass “curving spacetime,” guiding planets, light, and objects along predetermined paths. While convenient, this framing can obscure a deeper insight: in Einstein’s relativity, it is the geodesics that curve, not spacetime itself. A geodesic is a trajectory traced by successive instantiations of a system; spacetime provides the descriptive framework, not an active agent bending independently.
This series, Relational Geodesics: Mass, Radial Contraction, and Curved Trajectories, reinterprets relativistic gravity from the perspective of relational ontology. Time, space, and trajectories are emergent, perspectival phenomena. Geodesics are not pre-existing paths in a container; they are relationally actualised trajectories shaped by the modulation of potentialities around mass.
What to Expect in the Series
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Post 1: Geodesics Curve, Not SpacetimeClarifies that geodesics, not spacetime, are curved. Introduces the relational perspective, framing trajectories as emergent paths constrained by the relational field of mass.
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Post 2: Radial Contraction and the Relational FieldExplores how mass shapes relational potentialities, producing the apparent radial contraction that curves geodesics. Examples include planetary orbits and free-fall paths of massive bodies.
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Post 3: Light, Lensing, and Relational CurvatureExtends the analysis to photons and null geodesics. Gravitational lensing and light deflection are understood as emergent trajectories within relational fields, not effects of bent spacetime.
This series invites readers to reconceive gravity: not as a force or a property of a background geometry, but as the emergent modulation of relational potentialities by mass, producing curved trajectories and observable phenomena. It preserves all the empirical predictions of relativity while reframing motion, causality, and trajectory in terms of co-actualisation, perspectival emergence, and relational structure.
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