Reciprocity and Harmonics
Posted: Mon Mar 10, 2014 7:20 pm
The link between between many extent physical theories and the recirpocal system of theories
is harmonics. Harmonics occures through out the universe fom the atomic to the astronomical scale
and surfaces in various theories and experiments. Such a henomeneon needs to be accounted for any
Theory of everything oincluding RS and RS2.
The harmonic series is the reciprocal of the counting number series and through my work on the bi-radial matrix
a direct analgy can be made. The reciprocal relation between time and space (as exdpressed geometrically
in the bi-radial matrix) is directly analogous to the reciprocal relation between the counting numbers and the harmonic series.
Larson to my knowledge did not make this precise connection and once realized expands the range of RS2 to account for all
phenomenon relating to harmonics.
The "lines of force" observed by Faraday and any one experimenting with magnets and iron filings are an expression of motion
bothg according to Larson and according to the bi-radial matrix where each angular increment represents a "quantum" of time and each
linear increment along the time axis represent a "quantum of space. The line segments makng ujp the "lines of force" are actually a graph of the space time
relationship (motion) that is typically expressed in orthagonal graphs. These field lines when rotated around the cental "D" axis (see diagrams) forms a
fundamental form the torus or toroid. The harmonic (or near harmonic) structure is indicated in the geometry of the matrix.
It has been my goal since the 22nd anual ISIS convention to show the precise geometric expression of the RS and show the reciprocal relation between space
and time has a direct numerical expression relating directly relating to the recirpcol relationship betrwen the counting numbers and the harmonic series.
I have updated the bi-radial matrix web site with more details than can be shown here: www.bi-radialmatrixintro.com
It includes a scaling mchanism, a derivation of both attractgion and repulsion fields from first principles, a derivation of a bi-readial inverse square law,
and a derivation of the harmonic series ferom the underlying structure. There is a blog section to open forum. Thanks for your attention. RK
is harmonics. Harmonics occures through out the universe fom the atomic to the astronomical scale
and surfaces in various theories and experiments. Such a henomeneon needs to be accounted for any
Theory of everything oincluding RS and RS2.
The harmonic series is the reciprocal of the counting number series and through my work on the bi-radial matrix
a direct analgy can be made. The reciprocal relation between time and space (as exdpressed geometrically
in the bi-radial matrix) is directly analogous to the reciprocal relation between the counting numbers and the harmonic series.
Larson to my knowledge did not make this precise connection and once realized expands the range of RS2 to account for all
phenomenon relating to harmonics.
The "lines of force" observed by Faraday and any one experimenting with magnets and iron filings are an expression of motion
bothg according to Larson and according to the bi-radial matrix where each angular increment represents a "quantum" of time and each
linear increment along the time axis represent a "quantum of space. The line segments makng ujp the "lines of force" are actually a graph of the space time
relationship (motion) that is typically expressed in orthagonal graphs. These field lines when rotated around the cental "D" axis (see diagrams) forms a
fundamental form the torus or toroid. The harmonic (or near harmonic) structure is indicated in the geometry of the matrix.
It has been my goal since the 22nd anual ISIS convention to show the precise geometric expression of the RS and show the reciprocal relation between space
and time has a direct numerical expression relating directly relating to the recirpcol relationship betrwen the counting numbers and the harmonic series.
I have updated the bi-radial matrix web site with more details than can be shown here: www.bi-radialmatrixintro.com
It includes a scaling mchanism, a derivation of both attractgion and repulsion fields from first principles, a derivation of a bi-readial inverse square law,
and a derivation of the harmonic series ferom the underlying structure. There is a blog section to open forum. Thanks for your attention. RK