Part 01 – 14 June 2019 – see document below, 32 pages.
Back to the page “Intrinsic method“.
How should we call it? The Loch Ness monster (Wikipedia-GB) or the sleeping beauty (Wikipedia-GB)? More seriously, I appreciate S. Carlip approach concerning that topic: modest, progressive, laborious but persevering. If you are a fan, you may eventually enjoy his presentation (see at the bottom of this other page) and his book titled: “Quantum Gravity in 2 + 1 Dimensions“.
The theory of the (E) question deforms cross products (It is no more a scoop). It does it also, in peculiar, for angular momentums (which are quantized). At a first glance, the idea sounds a little bit crazy. But diverse relatively recent investigations (e.g.: studying a link with the York’s solutions for the initial data problem; discover some explanations here) justify a posterior the interest for this idea. Now, the purpose is to know how a set of canonical anti-commutative relations “cars” can be construct with the ingredients which have been furnished by the methods of decomposition. See on Wikipedia-GB an article on the problematic of the canonical quantization.
The (coming) document “Algebraic dynamics” examines attentively how the Kern of a decomposition, [K], and its transposed [K]t can form a pair of (creation, annihilation) operators for the theory.
The first section recalls the main results, especially insisting on the existence of two categories of Kerns. The first one contains Kerns of which the respective symmetric parts (a Hessian) have a non-vanishing determinant. The second one, of course, contains the Kerns of which the respective symmetric parts have a vanishing determinant.
The second part looks for the conditions allowing the realization of “cars” for Kerns in the first category.
The third part applies these conditions to fields with a 1/r2 dependence. It discovers strange rules and constraints that can eventually give some hints, at a theoretical level, on the Tully-Fisher relation (Wiki-GB) for the baryonic matter (Wiki-GB) and on the proportion of dark energy (Wiki-GB; about 2/3 of all energies).
The fourth part looks for the conditions allowing the realization of “cars” for Kerns in the second category.
The document is yet in development, but it introduces an unconventional vision concerning our universe; especially on its presumably empty regions. Can it be that these regions are “just” an ocean of deformed angular momentums realizing a chaotic set of invisible and linked black holes?
© Thierry PERIAT, 10 June 2019.
This page belongs to the online publication ISSN 2629-0049