Got thinking about connecting gravity with electro-magnetic photon( charge ) and thought of using torus/tori to help complete the picture. This following is not my first choice to exhibit gravity in context of the electro-magnetic sign wave, just a new thought I had.
Below in first vertical column( Ele ) we have the electric sine wave. Not shown is the magnetic sine-wave at right angles to the electric.
In 2nd vertical column( Gr-Ele ) I complete the sine-wave by offerring the blue complementary half of a missing half of one half cycle Electric and/or magnectic wave.
In effect, this concept says that we only observe one half of a sine waves cycle that is really a full torus for each cycle so we only observe one half of a torus. One half a sine wave being one half cycle torus is gravity, the other one half of a one half wave cycle is electric( positive and negative ) halves and/or magnetic.( positive and negative ) halves
Disregard the dots/periods as they are there only for formatting purposes.
....Ele...........Gra-Ele..............
......).................( )..................
.....(..................( )...................
......).................( )..................
.....(..................( )..................
Just a thought via texticonic expression.
^v^v is another more Euclidean-like version of the sine wave pattern.
A Euclidean 2D tri(3)angle, and 2D circle share the same topological aspects of 2D enclosure.
The former has 3 angles, the latter is conceptualized as a set of infinite angles.
Over short enough distances and relatively speaking, curved trajectories may appear to us being straight i.e. Euclidean.
http://www.rwgrayprojects.com/synergetics/s04/figs/f6108.html
Fullers OS-jbug transforms into a Euclidean version of a single cycle set of a double-sine wave electric-magnetic. Not shown in the link to Jbug in above URL.
Gravity remains elusive, invisible, missing, unseen, non-quantized.
The OS-jbug maximally expanded out in 3D is a cubo-octahedron, aka Vector Equilbrium consists of 24 chords/edges and defines 8surface tri(3)angles and 6surface squares. What we don't see is the invisible gravitational chord-- lines-of-relationship ---that exist between corners of six squares 2 additional surface chords as 2 longer diagonals in each square i.e. each square has 2 such gravitational chords/lines-of/relationship.
The OS-jbugs double-sine wave( electric and magnetic ) uses 4 chords for each half-wave-- because double-valenced/bonded chords --- and since there are 4 half waves in total, that is 16 of the chords used to define those two sine-waves( electric and magnetic ).
So, 12 gravity chords will not exactly match the electric-magnetic set of 16. However, 8 gravity chords would complete the other half of each half-wave i.e. two gravity chords for each half wave of 4 electric or 4 magnetic. That would leave 4 gravity.
So were short 4 gravity chords to have a 1-to-1 match with the electric-magnetic double sine wave set. A consideration may be that the longer surface diagonals are indeed a little longer, but I believe that excess would still not match the length of the 16 chords used to define and complete the Eucldean double sine-wave as four complete tori. ( ) ( ) ( ) ( )
So, there is another consideration, that would help fullfill that lack of gravitational chords. Consider, that, there also exist gravitation chords/lines-of-relationship, inside the cubo-octahedrons 12 vertexes. I forget exactly how many that is but as best as I recall the total number of lines-of-relationships between 12 vertexes is about 56-60.
So, if we subtract the initial surface 24, and the additional surface 12, then that leaves 24 internal gravitational chords/lines-of-relationship.
And those internal chords are longer then the 24 and 12 surface chords. It is also noteworthy that we found yet another form of equilibrium/equanimity involving the Vector Equilibrium. More on that later. Hopefully.
r6
R6
Below in first vertical column( Ele ) we have the electric sine wave. Not shown is the magnetic sine-wave at right angles to the electric.
In 2nd vertical column( Gr-Ele ) I complete the sine-wave by offerring the blue complementary half of a missing half of one half cycle Electric and/or magnectic wave.
In effect, this concept says that we only observe one half of a sine waves cycle that is really a full torus for each cycle so we only observe one half of a torus. One half a sine wave being one half cycle torus is gravity, the other one half of a one half wave cycle is electric( positive and negative ) halves and/or magnetic.( positive and negative ) halves
Disregard the dots/periods as they are there only for formatting purposes.
....Ele...........Gra-Ele..............
......).................( )..................
.....(..................( )...................
......).................( )..................
.....(..................( )..................
Just a thought via texticonic expression.
^v^v is another more Euclidean-like version of the sine wave pattern.
A Euclidean 2D tri(3)angle, and 2D circle share the same topological aspects of 2D enclosure.
The former has 3 angles, the latter is conceptualized as a set of infinite angles.
Over short enough distances and relatively speaking, curved trajectories may appear to us being straight i.e. Euclidean.
http://www.rwgrayprojects.com/synergetics/s04/figs/f6108.html
Fullers OS-jbug transforms into a Euclidean version of a single cycle set of a double-sine wave electric-magnetic. Not shown in the link to Jbug in above URL.
Gravity remains elusive, invisible, missing, unseen, non-quantized.
The OS-jbug maximally expanded out in 3D is a cubo-octahedron, aka Vector Equilbrium consists of 24 chords/edges and defines 8surface tri(3)angles and 6surface squares. What we don't see is the invisible gravitational chord-- lines-of-relationship ---that exist between corners of six squares 2 additional surface chords as 2 longer diagonals in each square i.e. each square has 2 such gravitational chords/lines-of/relationship.
The OS-jbugs double-sine wave( electric and magnetic ) uses 4 chords for each half-wave-- because double-valenced/bonded chords --- and since there are 4 half waves in total, that is 16 of the chords used to define those two sine-waves( electric and magnetic ).
So, 12 gravity chords will not exactly match the electric-magnetic set of 16. However, 8 gravity chords would complete the other half of each half-wave i.e. two gravity chords for each half wave of 4 electric or 4 magnetic. That would leave 4 gravity.
So were short 4 gravity chords to have a 1-to-1 match with the electric-magnetic double sine wave set. A consideration may be that the longer surface diagonals are indeed a little longer, but I believe that excess would still not match the length of the 16 chords used to define and complete the Eucldean double sine-wave as four complete tori. ( ) ( ) ( ) ( )
So, there is another consideration, that would help fullfill that lack of gravitational chords. Consider, that, there also exist gravitation chords/lines-of-relationship, inside the cubo-octahedrons 12 vertexes. I forget exactly how many that is but as best as I recall the total number of lines-of-relationships between 12 vertexes is about 56-60.
So, if we subtract the initial surface 24, and the additional surface 12, then that leaves 24 internal gravitational chords/lines-of-relationship.
And those internal chords are longer then the 24 and 12 surface chords. It is also noteworthy that we found yet another form of equilibrium/equanimity involving the Vector Equilibrium. More on that later. Hopefully.
r6
R6