Recovering General Relativity from the Sobolev–Ozok Lattice (SOL): Curvature and Einstein Tensor as Emergent Coherence Geometry
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This work derives the full framework of General Relativity from the Sobolev–Ozok Lattice (SOL) model, a discrete spacetime structure in which curvature emerges from the coherence tension of Planck-scale cells. Starting from the SOL action, the Einstein field equations are obtained without assuming the continuum theory a priori. The derivation naturally incorporates the Newtonian limit and post-Newtonian corrections, linking the lattice microphysics directly to classical gravitational dynamics. This approach shows how the familiar geometric description of gravity arises from a deeper discrete foundation, offering new insights into the relationship between spacetime microstructure and macroscopic gravitational phenomena.
This paper is part of the Sobolev–Ozok Lattice (SOL) research program.
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Recovering_General_Relativity_From_The_Sobolev_Ozok_Lattice (SOL)_Curvature_And_Einstein_Tensor_As_Emergent_Coherence_Geometry.pdf
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References
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