The aim of this article is the formulation of the basic laws of Physics by
frames, i.e. quadruples of exterior differential one forms. The basic operator
is a modification of the Hodge-de Rham Laplacian d*d*+*d*d, where * is the
hyperbolic star. In this article it is modified depending on the frame. The
modified * is invariant w.r. to any diffeomorphism. Consequently, the modified
Laplavian is invariant. The field equation developed in this article is a
complete alternative to the field equation of General Relativity in vacuum. The
frame-field equation yields a derivation of Newtonian (Einstein) law of
attraction without recourse to the geodesic postulate. Coulomb law is also
derived. Invariant formulation of Maxwell equations is exhibited. Then first
order linear approximation is considered. It is used to derive invariant
formulation of Schroedinger equation (classical and relativistic) and Dirac
equation all of which are linear. The lhs of the field equation, defined on a
four dimensional manifold, is the same for all bodies. Thus hopefully, it may
set the foundation for a field theory. The interaction of the particles has to
be worked out. The basic equation of this article is motivated by the Einstein
equation in nonempty space.Comment: Several changes of the sig