Applications-for-the-intrinsic-method.

A list of applications for the intrinsic method.

  • Maxwell's-vacuum.

    In writing Maxwell’s equations (EM) for empty regions in introducing the trivial decomposition for each cross product, I got a volumetric density of force.
  • Einstein-Rosen-revisited.

    The demonstration made in that document suggests that we are living on a surface surrounding a Bowen-York-Lichnerowicz like black hole, alias a void.
  • The-Klein-Gordon-Equation

    The Klein-Gordon equation describing the propagation of massive waves is currently analyzed with Dirac's ideas and works. This document suggests another method.
  • The-dispersion-relation-and-its-surfaces.

    The dispersion relation of light in vacuum can be interpreted either as a Euler-Rodrigues parametrization or as a formulation of the Klein-Gordon equation.
  • The Tully-Fisher law as quantum gravitational effect ?

    Is the Thirring-Lense effect creating massive waves propagating in cosmos in following a Klein-Gordon like law?

Comments.

The intrinsic method (intern link) has several consequences in physics:

  • When the discussion is developed with elements in E(3, C), it imposes the existence of E. Cartan’s spinors at the three-dimensional Euclidean limit of the theory; this fact encourages to look for links between that approach and the standard model for particles.

  • It allows a relatively direct confrontation between the non-trivial decomposition of (eventually deformed) angular momentums and the initial data problem for Bowen-York-Lichnerowicz black holes.

Concerning that specific point, please see the literature, e.g.:

  • [3 + 1 Formalism and Basis of Numerical Relativity; § 8.2.6, pp. 136-139; arXiv: gr-qc/0703035v1, 06 March 2007]

and, for the consequences proposed by the theory of the (E) question, my document:

  • “Einstein-Rosen Proposition in 1935 Revisited”, in the English language; discover it on vixra.org (extern link).

  • It gives the possibility to build Hartree-Fock like states with the kerns of any decompositions; please have a look at [ISBN_150-9] on zenodo.org (extern link).

  • It allows a renewed analysis of the Klein-Gordon equation; see [ISBN_...].  

© Thierry PERIAT.