  This note suggests a generalization of the Born--Infeld action (1932) on case
of electroweak and gravitational fields in four-dimensional spacetime. The
action is constructed from Dirac matrices, $\gamma_a$, and dimensionless
covariant derivatives, $\pi_{a} = - i\ell \nabla_{a}$, where $\ell$ is of order
of magnitude of Planck's length. By a postulate, the action possesses
additional symmetry with respect to global transformations of the Lorentz group
imposed on pairs ($\gamma_{a}$, $\pi_{a}$). It's shown, that parameter of the
Lorentz group is associated with a constant value of the electroweak potential
at spatial infinity. It follows, that in linear and quadratic in $\ell^2$
approximation, action for gravitational field coincides with Einstein-Hilbert
(EH) and Gauss-Bonnet (GB).
