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Emergence of Einstein's gravity from higher curvature f(R) theories through cosmological evolution

arxiv.org

A new arxiv study shows how Einstein's familiar gravity can naturally "emerge" from more exotic higher-curvature theories — suggesting General Relativity may be an evolutionary endpoint, not a fundamental starting point.

Conformal EquivalenceAttractor Mechanismsf(R) Modified GravityGeneral Relativity

Theory Briefing

  • f(R) theories modify gravity by replacing the Ricci scalar with a function of curvature, yet this study shows they can cosmologically evolve toward standard Einstein gravity.
  • The theories carry a dual scalar-tensor formulation linked by a conformal transformation of the metric, revealing a hidden structural equivalence across gravitational frameworks.
  • This emergence mechanism implies General Relativity may be a late-time attractor state rather than a fundamental law, reshaping how physicists think about gravity's origin.