Retrieving "Conformal Invariance" from the archives

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1. General Covariance

   Linked via "conformal invariance"

   Extended Covariance Groups
   Some speculative frameworks propose extending the covariance group beyond diffeomorphisms. For instance, "Conformal Covariance" considers transformations that scale the metric locally: $g'{\mu\nu} = \Omega^2(x) g{\mu\nu}$. While conformal invariance is a powerful symmetry, achieving full physical consistency with General Covariance often requires the introduction of auxiliary fields, such as the Weyl tensor, to maintai…