Algebraic-Geometrical Energy Axioms and Logic

Gudrun Kalmbach H. E.

In an axiomatic mathematical model some old proved and new results show that the energy mathematics in the quantum range has to be revised. The hedgehog model belongs to a fiber bundle from the SU(3) geometry and describes energy exchanges of a nucleon with its environment. The fusion model shows how from two protons a weak rotor (the wheel) for deuteron arises. It sets Eucliden space coordinates. Gravity is described for length contraction/expansion by a spiralic projection and later with central projections for metrical rescalings. The necessary coordinate extension from spacetime (x, y, z, t) to octonians uses a mathematical proof (figure 9) for the Hilbert space subspace lattice OML, - central astroids have the doubled up octonians with (e0.m, f, e7) added. The new first and last coordinates form a G-compass for color charges, m is mass, f frequency [12]. The neutral color charge of nucleons is taken as rgb-graviton whirl (figure 9) necessary for the OML structure. The measuring octonian Gleason operators act like additive probabilistic states (figure 8). The Minkowski rscaling of measure units is added and several models for the new theory are shown in the last figure.

Select Volume / Issues:

• Volume 11,Issue 6,Nov. 2020

Year:

2020

Type of Publication:

Article

Keywords:

Axiomatic Mathematical Model; Algebraic-Geometrical; Energy Axioms; Logic

Journal:

IJECCE

Volume:

11

Number:

6

Pages:

83-101

Month:

November

ISSN:

2249-071X