EAN | Title |

0960 | A. Einstein versus W. Heisenberg (see text and document below) |

0311 | The EM fields of the theory |

0854 | The subtle interplay between the EM fields and the metrics |

**Introduction**

The
search for unity inside theoretical physics, especially between the theory of
relativity (A. Einstein) and the quantum approach is an approximately hundred
years old fundamental quest. It has occupied many brilliant brains and it does
yet occupy them today.

Although
the affirmation may sound a little bit pretentious, my toy-theory proposes a
new path connecting the two pillars of modern physics. Let describe the main
idea.

W.
Heisenberg has pointed out the fact that positions and speeds form two separate
and independent sets of observables. He also suggested that energies and lapse
of times were following a similar logic. There is, for now, no operator
representing the time and, at least at a technical level, this absence is
blocking the progression.

Therefore,
I decided to consider the simplest transposition of that suggested
interdependence; in extenso, the product: (delta energy. delta lapse of time).
The situation realizing the minimum of that product is labeled as “quantum
limit”. After that, considering the physical units involved in such a relation,
I realized that it was possible to inject any force and, in peculiar, the
Lorentz force density into it. I also understood that Heisenberg’s relation was
able to yield a polynomial of degree two allowing both, the simultaneous
intervention of my extrinsic method and the one of E. B. Christoffel’s
historical work on the preservation of these polynomials.

This is
the central skeleton of my toy-approach. It must certainly be fine-tuned and
generalized. If it is the right manner to connect the two main pillars of
modern theoretical physics, this is a scoop and an essential stone for future
progressions. If Heisenberg would have been able to confront his thoughts with
the calculations of E. B. Christoffel’s, he would certainly have suggested a
similar idea.

Within
that new approach, the preservation of elements of lengths appears to be a
plausible consequence of the preservation of the quantum limit. This conclusion
will certainly not receive any positive echo in the scientific community; just
because it is not academic, not politically correct and contradicting the
mainstream. Or for a simpler reason: because it is false. You are deciding.

© Thierry PERIAT, 14 January 2019.

**The document**

Everybody
knows Einstein’s masterwork (The general theory of relativity – GTR). Only a
few specialists remember exactly how it has been built. In that document, I
exhume E. B. Christoffel’s work which is (i) continuing Riemann’s work and (ii)
one of the mathematical pillars of the GTR. I demonstrate that that work can be
applied either for the preservation of the (ds)^{2} (the historical
case) or for the invariance of Planck’s limit as well (my proposition), without
being obliged to be in contradiction with the solutions of the GTR. It turns
out that, in doing so, I just preserve the inverse of a non-degenerated 4D
metric. The bonus of that demonstration is a new family of electromagnetic
fields depending on that metric and on its variations. The v4 has been proposed
to the review General Relativity and Gravitation but not approved for
publication. The v5 has been published for the first time on the 16th of
September 2018.

Back to the page: The Lorentz-Einstein Law