In this paper we present an anachronistic pre-YM and pre-GR attempt to formulate an alternative mathematical physics language in order to treat the problem of the electron in twentieth century physics. We start the construction of our alternative to the Minkowski-Laue consensus by putting spin in the metric. This allows us to simplify Lorentz transformations as metric transformations with invariant coordinates. Using the developed formalism on the Pauli-Dirac level,we expand the quantum helicity operators into helicity rotators and then extend them from the usual 3-D expressions to 4-D variants. We connect the resulting 4-D Dirac-Weyl hyperbolic rotators to mathematical expressions that are very similar to their analogues in the pre General Relativity attempts towards a relativistic theory of gravity. This relative match motivates us to interpret the 4-D hyperbolic rotation angle as possibly gravitational in nature. At the end we apply the 4D hyperbolic rotator to the Dirac equation and investigate how it might change this equation and the related Lagrangian. We are curious to what extend the result enters the realm of quantum gravity and thus might be beyond pre-GR relativistic theories of gravity of Abraham, Nordstr{\"o}m, Mie and Einstein.