Applications for the extrinsic method
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: “A. Einstein versus W. Heisenberg”.
- An interpretation of the geodesic deviation equation for “Weak gravitational fields”.
- An analysis linking the Klein-Gordon equation with the covariant version of the Lorentz law.
Presence of similar results in the 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 of 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.
© Thierry PERIAT.
Go back to the page: "Applications".
A list of explorations.
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The-Klein-Gordon-Equation
A new analysis for a very old equation: the Klein-Gordon equation; in a full four-dimensional context. -
Deformed-tensor-products-in-the-theory-of-gravitation
In the weak field limit, the local curvature can be interpreted in terms of elasticity of the geometry.