The intrinsic method in any three-dimensional space

Is also a mathematical method; see the document below. It is a very helpful tool to get answers for a specific formulation of the so-called (E) question. The (E) question is: “Consider a deformed cross product (DCP) in E(3, K) where usually K represents either R or C. Consider the image of that DCP in the dual space E*(3, K) of E(3, K). How can I divide it and get a pair ([P], z) in M(3, K) x E(3, K)?”

 

Applications (personal propositions)

In physics, I have applied this method in vacuum:

           The Maxwell’s equations in vacuum;

           The picture of strings in elongation; discover the page: “Vacuum and strings”.

           Electrons in a lattice;

           Bowen-York black holes.

 

In mathematics – these explorations are written in French language:

           I have confronted the results of that intrinsic method with the ones of the extrinsic method;

           I have explored in which way the results which have been obtained with the extrinsic method can be related to the ones of the intrinsic method when the dimension of the space is greater than three (D > 3).

 

Comment

My long-range purpose is to convince the readers that that method can have some advantages in physics.

 

© Thierry PERIAT, 05 March 2019.