1. In "nothing but motion" chapter 10 Atoms, Larson said,"Geometrical considerations indicate that two photons can rotate around the same central point without interference if the rotational speeds are the same, thus forming a double unit. The nature of this combination can be illustrated by two cardboard disks interpenetrated along a common diameter C.", but in the outline in 33 and 64, there is just one photon in the atom. So there should be one or two photons in an atom?
I asked the same question first time I went through Larson's stuff. Larson does not adequately explain that the atom contains TWO, double-rotating (magnetic) system and ONE single-rotating (electric) system.
Particles only contain a single, double-rotating system with one photon, whereas atoms have a double, double-rotating system with two photons (Confusing, isn't it?) It's not really that difficult to comprehend.
A double-rotating system, the magnetic rotation, is a SOLID rotation, measured in steradians, not radians. In a single-rotating system, we have a radius that is a line rotating about a point, drawing a circumference. The double-rotation has a CONE that expands through a sphere--starts out as a line, moves to a cone, then a flat disk at 90 degrees, then a cone in the opposite direction, ending up with a line pointing out at 180 degrees, then folds back upon itself. That is how you can visually depict 2D rotation.
The 2D, magnetic rotations are INSIDE the time region. The 1D electric rotation is a rotation OF the time region. A rough analogy would be to stick a couple of gyroscopes tumbling head-over-heels in a sphere (magnetic), then rotate the sphere (electric). Particle: 1 gyroscope, Atom: 2 gyroscopes.
What Larson is trying to describe in NBM is that the two gyroscopes, if aligned correctly, can be at zero separation--the old "wheel within a wheel" idea of Ezekiel. And he can do this, because his gyroscopes aren't wheels--they are spinning rods. You just have to get them spinning so the rods don't clobber each other, and you can do that by setting them up the way he describes.
It is simpler in RS2, if you've ever used a complex number... the 1D is the "real" part, and the 2D is the "imaginary" part.
2. You said "there is no geometry to them". I understand they are scarlar motion so there're only independent speed numbers of it(am i right?). But it should project into our space time right? Then it comply with Elucidian geometry, which is the geometry problem Larson talking about.
Take a look at the
PDF I just uploaded in the Presentations forum on the Reciprocal System for Non-Dummies (1.0). It attempts to show the difference between natural (scalar) and artificial (coordinate) systems.
So there is such the "exhaust available dimensions" thing. Since there is actully no geometry, how can there be considerations about dimensions?
Dimensions are just the arithmetic concepts of evolution (exponent) and involution (roots). All it indicates is a relationship... 2D just means that there are 2 independent variables needed to define the motion. How they are arranged geometrically is a result of the "artificial reality" imposed upon them in the projection, such as Euclidean geometry.
3. In the a-b-c notation, a and b is the rotation of the disk in different axis, so it is 2-D, but i don't understand why the rotation of a sphere of speed c is one-dimensional? Or c is the rotation of the stick of photon?
Since there are 2 independent variables to define a 2D motion of the stick, it can spin at one rate head-over-heel, and at another rate, spinning on its vertical axis. The A and B define these speeds. In early works, Larson called the faster speed the "primary" and the slower the "secondary," describing it as analogous to the major and minor axes of an ellipse.
You have to remember that magnetic motion is INSIDE the time region (the region where space=1 and only time progresses). That region, itself, can spin about ONE axis
in space, which is the C value. (Since there is only 1 independent variable here, even if you spin it about more than one axis, you just change the orientation, you don't actually generate any additional rotation).
4. In RS2, you provide the concept of projection, which is how a scarlar motion manifested in the "space" we are seeing. It makes the scalar motion more purely scarlar. So there are no directions before coupling, only independent numbers of speed. When we represent a uniform scarlar motion in the spatial reference system as rotation, we get bi-rotation but not rotatoin. I learn an atom in Larson's book. There's geometry and 3D dimension. But how to understand an atom in RS2 since there's no geometry?
RS2 also includes the "yin" aspect of motion, that of constant, angular speed (Larson only uses the yang, linear speed). The projection of a scalar speed onto a coordinate system always ends up with BOTH the linear and rotational shadows at the same time. The linear is a bivector--a line pointing in two directions. The rotational is a birotation, two opposite rotations. In the case of the photon, the birotation is stretched by the bivector into a coil spring appearance--EM radiation--with one axis in space (real, electric) and the other axis in time (imaginary, magnetic). Buy at the scalar (natural) level, all that is there is a speed. To make the shadow, you need to make the assumptions, which are defined in Larson's 2nd postulate: Conforms to the relations of ordinary, commutative mathematics, its magnitudes are absolute, and its geometry, Euclidean. (This is clarified in the 1.1 Fundamental Postulates paper, which I'll have uploaded soon).