1.Moebius
Moebius and quantum space structure
1.1.Moebius ring vacuum fluctuation
the moebius ring seems a good model for quantum vacuum fluctuations.
in fact, if we split a moebius ring in two by the middle of the band, then its topology
change and you get a single ribbon wound one full turn on itself
while the moebius ring is wound half a turn on itself.
if we repeat this operation on split rings, then the topology no longer changes and we duplicate by splitting
ribbons with the same topology.
if the ring is split not in the middle but at one edge (1/3 of the width, for example) then a different result will be obtained :
- the small 1/3 side will have a ring that makes a complete turn on itself
- on the 2/3 long side, we'll stay with the moebius ring, i.e. with a simple half-turn.
this can be compared with the halfquantum of virtual particles (fluctuation of the fundamental state of the field, called the vacuum state because there are no real particles )
and the entire quantum of real particles: state of the field with one, two, n real particles (with a one-third/two-thirds split, we keep the moebius ring that generates a
infinite 1-turn rings).
moebius topology therefore corresponds to the virtual or unmanifested.
there are in fact two possible moebius rings, depending on how you turn the paper ribbon
right or left before gluing, the result will not be the same..
The moebius ribbons are therefore two possible helicities which can represent right or left spin..
if you interweave two moebius ribbons of different helicity, you get the shape of a 3D heart.
1.2.Ruban de moebius tetraedre
If a moebius strip is stretched along opposite segments, the stresses
to position the segments at 90° to each other..
The ends of the segments correspond to the vertices of a tetrahedron.
the 90° angle (the cross) and the tetrahedron appear naturally
from the topology of the Moebius strip.
The tetrahedron is the basis of the quantum vacuum model of the . Théorie de Nassim Haramein
one more element to consider the Moebius ring.
1.3.Moebius angle
if we flatten a moebius ribbon, we obtain a polygon in plane projection that is different according to
folding, but will always present an angle between two opposite sides that appears to be the same..
you can create several polygons in this way and plot this angle on a sheet of paper.
test measurement of this angle with two ribbons of different sizes :
setprec=3
set sinM = 6.4;
set cosM = 7.7;
set sinM = 11.8;
set cosM = 15;
set tanM = sinM/cosM;
tanM=0.787
#arctan(tanM) * 180 / pi =39.73 °
arctan(tanM) * 180 / pi =38.191 °
average :
19.86
19.09
=38.95
divide this angle by two to obtain :
38.95 / 2 =19.475
(calculation using the algebraic calculator scalc )
which approximates the angle between the equator of a sphere and the 3 points of contact of the vertices of a tetrahedron inscribed in this sphere..
The pole being the 4th vertex of the tetrahedron (cf ).
A mathematical study would be needed to determine the existence and value of this angle..
2.Ruban de moebius triangle equilateral
if we construct a Moebius ribbon from a sheet of paper by stretching it to the maximum, i.e. by trying to tighten the loop as much as possible, then the end result, by flattening the structure, is an equilateral triangle with several leaves.
a central leaflet that can be tilted from side to side, reminiscent of a beating heart (atrium ventricle).
the human heart is made up of two hearts: one for arterial circulation, and one for venous circulation, as in the image above with the two interlocking möbius rings of different helicity.
the interlocking of two tetrahedrons forms the tetrahedral_star.