Extrinsic method


Personal explorations.

For now, this method is the starting point for diverse discussions occurring in a four-dimensional context:

  • A confrontation between E. B. Christoffel’s, Einstein’s and Heisenberg’s works through the covariant version of the Lorentz law:, discover: “A. Einstein versus W. Heisenberg” on vixra.org.


  • An interpretation of the geodesic deviation equation for “Weak gravitational fields”.


  • An analysis of the "gravitational term" appearing in the the covariant version of the Lorentz law; see below.


Presence of similitudes in the scientific literature:

In the community, I discovered an article (under the Common Creative licence) titled:

  • “Quantum effective action for degenerate vector field theory” published on the 17th October 2018 by the American Physical Society in Phys. Rev. D 98, 085014 (2018)” in which the formula (5), i.e.:


F = - G-1. H

G represents the local non-degenerated four-dimensional metric and H is a quasi-classical Hessian. That equation exhibits the same formalism than some generic decomposition of the gravitational term appearing in the covariant version of the Lorentz law when its trivial part vanishes.

I wrote an email to the authors of that article (who I did not knew although they were living in the same region than me) but, unfortunately, they never sent me any answer and therefore no discussion could be started with them.

© Thierry PERIAT.

List of explorations:



The document confronts the covariant version of the Lorentz law with a Taylor's development and discovers an unexpected link with the supra-conduction.

The gravitational term

Since the currently proposed scenarios explaining the expansion do not really convince the whole scientific community, some institutions explore alternative solutions.