It is not altogether surprising that covariance may be redefined so easily for a theory with such different foundations. It has been pointed out that covariance is an
empty requirement (see [27,28]). Not only does covariance not imply local Lorentz invariance, but also any theory can be made covariant. An example of a covariant
formulation of Newtonian gravity is given in . In this theory the tangent space is not a portion of Minkowski space, rather a portion of Galilean space.
 S.Weinberg, Gravitation and cosmology, JohnWiley and
Sons, 1972; pp 91.
 K. Friedrichs, Math. Ann. 98, 566 (1928).
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