Hello, My name is Russell Kramer and this project is about "discovering" the Bi-Radial Matrix. It is a continual process of unfolding into what appears to be an accurate model of the underlying quantum or geometry of nature even of space-time itself and its subsequent representation using angles, lines and other geometric components. It is a cross section of something much vaster of higher dimensions than can be thoroughly depicted by the models and basic equations being employed and this leads the way.
This is an ongoing collaborative investigation and search into the harmonic relationship between geometry and the basic elements of creation: space and time. This involves basic research, geometric modeling and a degree of intuitive insights into the geometric origins of toroidal symmetry and its geometric antithesis the repulsion matrix. This in essence requires pattern recognition.
It will be shown that space and time have geometric components which combine to form a near harmonic structure integral with the fundamental toroidal and counter toroidal symmetry on both the microscopic and macroscopic level. A bi-radial coordinate system is developed which corresponds to natures fundamental forces.
The universe is harmony on its most basic level. This site emphasizes geometric properties and promotes understanding of the concepts on an intuitive basis. Harmonics extends beyond physics
There are key applications to the bi-radial matrix:
There are key applications to the bi-radial matrix:
1) Educational. The Bi-Radial Matrix deals with geometric relations along with coordinate systems and harmonic series, cosmology and the interface between geometry and nature and shows these concepts with visual clarity.
2) Geometric modeling of physical and animate-conscious systems. The Bi-Radial Matrix is a highly useful model of Bi-Radial symmetry found in nature including atomic structure, electromagnetic and gravitational fields, both the toroidal attraction fields and the asymptotic repulsion fields.
3) Using harmonics as basis for clean energy. Nuclear energy is an incomplete process, with radioactive byproducts, resulting from an incomplete understanding of nature, atomic structure and the subsequent misapplication of technology to harness it. The Bi-Radial Matrix and further generalizations by indicating more details of the near harmonic atomic structure offers
4)Understanding of ancient cosmology Ancient cosmology as reflected in both astronomical and calender systems, language, music and architecture is based on harmonics. The Bi-Radial matrix reveals a harmonic geometry which underlies a major portion of these ancient disciplines.
5) Unified Fieldresearch. The bi-radial matrix offers vital insights and detailed geometrical models concerning the mysterious unified field sought after by Einstein, his contemporaries and many subsequent researchers to the present day. A precise connection between the bi-radial field structure, a bi-radial inverse square relation and the harmonic series is revealed.
6) Graphic design. The Bi-Rdial matrix lends itself to stunning graphic representations of harmonic force field structure and bridges the gap between art and science
The generalized form of the bi-radial matrix
Attraction mode, multiple matrices
Poly radial Matrix attraction mode
Radial mode high sampling rate revealing harmonic structure
Bi-Radial matrix hi-sampling rate with harmonic interference pattern
Radial mode low sampling rate
Repulsion mode with moderate sampling rate and asymptote symmetry
Overview
In essence the Bi-Radial Matrix is a geometric model based on initially two centers from which equi-spaced rays diverge. The geometric properties of the Bi-Radial Matrix correspond to the structures of repulsion and attraction fields as observed experimentally and in nature. It manifests as interference patterns. Alternate expressions include mathematical equations which parallel known equations of fundamental "forces" in nature. This is a nature based geometry.
Repulsion mode low sampling rate
Attraction mode with moderate sampling rate with cross sectional toriodal symmetry
Nodal mode with moderate sample rate
An additional feature to be shown later is rotation of either or both of the radial axis creating a dynamic system. The Bi-Radial Matrix is a geometric construction which exists independent of physical phenomenon and experimental observation and yet is co-extensive with natural laws relating to the basic forces and force fields in nature. The premise here is that the Bi-Radial matrix is highly useful as a geometric model of static and dynamic physical and animate systems. For more details see the next page in the drop down menu.