| 1. |
- Trell, Erik, et al.
(författare)
-
Geometric Lie Algebra in Matter, Arts and Mathematics with Incubation of the Periodic Systems of the Elements
- 2017
-
Ingår i: ICNPAA 2016 WORLD CONGRESS: 11TH INTERNATIONAL CONFERENCE ON MATHEMATICAL PROBLEMS IN ENGINEERING, AEROSPACE AND SCIENCES. - : AMER INST PHYSICS. - 9780735414648
-
Konferensbidrag (refereegranskat)abstract
- From a brief recapitulation of the foundational works of Marius Sophus Lie and Herrmann Gunther Grassmann, and including missing African links, a rhapsodic survey is made of the straight line of extension and existence that runs as the very fibre of generation and creation throughout Natures all utterances, which must therefore ultimately be the web of Reality itself of which the Arts and Sciences are interpreters on equal explorer terms. Assuming their direct approach, the straight line and its archaic and algebraic and artistic bearings and convolutions have been followed towards their inner reaches, which earlier resulted in a retrieval of the baryon and meson elementary particles and now equally straightforward the electron geodesics and the organic build of the periodic system of the elements.
|
|
| 2. |
- Trell, Erik, et al.
(författare)
-
Stochastic Wavepacket Tessellation of Atomic and Periodic Table Build in Structural R(3)xSO(3) Configuration Space
- 2018
-
Ingår i: ICNPAA 2018 WORLD CONGRESS: 12TH INTERNATIONAL CONFERENCE ON MATHEMATICAL PROBLEMS IN ENGINEERING, AEROSPACE AND SCIENCES. - : American Institute of Physics (AIP). - 9780735417724
-
Konferensbidrag (refereegranskat)abstract
- We have made a direct electron wave-packet modeling of the elements and parameters of the solid state configuration space R(3)xSO(3) by a structural realization of the SU(3) Lie algebra into a cyclically expanding isotropic vector matrix unfolding of its infinitesimal root vectors, faithful to his prescriptions how these partial derivative "geodetic curves of length equaling zero" interact so that the "Plucker line geometry can be transferred into a sphere geometry" by trigonometrically projecting its "straight lines into space Rs spheres rectilinear generatrices" and vice versa, where "x, y, z are perceived as parameters and dx, dy, dz as direction cosines". This outlines a unit lattice cell of the two interconnecting root vector sets, spanning an interior spacefilling 12-step one-octahedron/two-tetrahedrons SO(3) electron helical loop walled in and coordinated by the likewise 12-edged and by itself three-dimensionally close-packing parallelepiped infinitesimal ground eigenelement of R-3. By a hierarchically accumulating coherent brick-laying of this wave-packet hybrid in a recurring Bohr orbital sequence order, the primordial hydrogen plasma phase of the universe and its self-inflation and turn into the full atomic and periodic table organization with all its static and dynamic, single as well as collective characteristics is replicated as observed in reality.amp;lt;boldamp;gt; amp;lt;/boldamp;gt;
|
|
| 3. |
- Trell, Erik, et al.
(författare)
-
Stochastic Wavepacket Tessellation of Atomic and Periodic Table Build in Structural R(3)xSO(3) Configuration Space
- 2018
-
Ingår i: ICNPAA 2018 WORLD CONGRESS: 12TH INTERNATIONAL CONFERENCE ON MATHEMATICAL PROBLEMS IN ENGINEERING, AEROSPACE AND SCIENCES. - : American Institute of Physics (AIP). - 9780735417724
-
Konferensbidrag (refereegranskat)abstract
- We have made a direct electron wave-packet modeling of the elements and parameters of the solid state configuration space R3xS0(3) by a structural realization of the SU(3) Lie algebra into a cyclically expanding isotropic vector matrix unfolding of its infinitesimal root vectors, faithful to his prescriptions how these partial derivative "geodetic curves of length equaling zero" interact so that the "Plucker line geometry can be transferred into a sphere geometry" by trigonometrically projecting its "straight lines into space Rs spheres rectilinear generatrices" and vice versa, where "x, y, z are perceived as parameters and dx, dy, dz as direction cosines". This outlines a unit lattice cell of the two interconnecting root vector sets, spanning an interior spacetilling 12 step one-octahedron/two-tetrahedrons SO(3) electron helical loop walled in and coordinated by the likewise 12-edged and by itself three-dimensionally close-packing parallelepiped infinitesimal ground eigenelement of R3. By a hierarchically accumulating coherent brick-laying of this wave-packet hybrid in a recurring Bohr orbital sequence order, the primordial hydrogen plasma phase of the universe and its self-inflation and turn into the full atomic and periodic table organization with all its static and dynamic, single as well as collective characteristics is replicated as observed in reality.
|
|
