Abstract
The Planck and other natural numbers are used for units of forces. They arise also as weights of Gleason operators, defined by 3-dimensional spin-like base triples GF and their weigths. The spin lengths are the spin GF weights for instance. The measuring GF operator triples arise by projective duality from 1-dimensional force vectors in projective to R5 extended Hilbert space H4. Color charges are set as a separate force, using a G-compass (figure 2). For the universes evolution after a big bang several maps are introduced, mostly belonging to the gravity field quantum rgb-graviton. It presents the neutral color charge of nucleons. Orthogonal projections of H4, also in spiralic and angular form, central or stereographic projective maps belong to them. They project also the S³ factor of the strong interation geometry S³xS5 down to the SU(2) geometry S³ of the Hopf map. Fiber bundle maps are added also to S5 with the same fiber S1 to the base space CP² for nucleons and atomic kernels. In octonian coordinates, listed by indices, 01234567, there are three projections from the energy space 123456 of SI to complex quaternionic 2x2-matrix presentations of spacetime 1234, of CP² as 3456 and of GR with mass and rgb-gravitons 1256. GR and CP² are projected into 1234 as the universes spacetime, observable as bubbles for atoms and matter 3456 and GR potentials and actions about and for mass carrying systems 1256.
Highlights
The Planck and other natural numbers are used for units of forces
The mathematical description of what happens after a big bang before Planck numbers and physics rules are generated iis modelled according to the Erlanger program (Noether Theorem)
The new independent force of color charges belongs with six invariants under Moebius transformations to the complex Riemannian sphere S2
Summary
In the list of Planck numbers (see [6]) is no constant mentioned for color charges. There are two experimentally determined constants for the strong interactions potential, but in this article they are not associated with color charge. The electromagnetic interaction EMI symmetry U(1) is for C and its universal covering R is for the map t→exp(it) This belongs to frequency 6 as kinetic energy and momentum E(kin) as force and the 2x2-matrix α with first row (0 1), second row (-1 1) with eigenvector (1,-p1) for momentum p = mv, as color charge is added b blue. The octonian subspace is 07, a plane for the G-compass (figure 2) Beside these big bang basic Planck time constants which define γG mass (m = E/c2) and length l, h time (t = l/c, as measure second s) and energy (E, as measure Hz or J), k heat (T = E/k), additional density by ρ = c5 /h(γG) (as measure mass m per volume m/l3); c EMI waves, are listed in physics for computations, - the Schwarzschild radius Rs is set equal to a (de Broglie with λp = h) wave length λ = r = Rs = 2m(γG)/c2, r radius. Available are for instance three natural constants which use mol (Avogadro constant, Faraday, universal gas constants) and the Stefan Boltzmann constant, for the complex G-compass color charge force
Sign-in/Register to view highlights & summary 
Published Version (
Free)
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
