Reciprocal System Research Society

Bruce,

Your explanation is nice and dandy until I consider the empirical "3 body problem" shown below.

<t>Bruce,<br/> <br/> Do you have an intuitive understanding why two atoms gravitate in space?<br/> <br/> I know that according to DBL their mandatory motion in space is arrested by an oscillatating or rotating motion, while their mandatory motion in time is unimpeded by such directional loops.<br/> ...

Bruce wrote:

That is the essence of projective geometry... you add an assumption, and create an illusion. Ever wonder why Ra and the Confederation gang call our "reality" an "illusion"? This is exactly why.

Yeah, I always thought there was something wrong with the world...

.

<t>Good question.<br/> <br/> One school of thought defines the degrees of freedom as the dimensions that are "free" to vary. For example 2D motion in a 3D system has 1 degree of freedom. In other words - the difference between two numbers of dimensions, a.k.a. dimensions of freedom.<br/> <br/> Anoth...

Bruce, The stratification of 3D geometry is clear to me. Thanks. I understand that the cross-ratio is invariant under the transformations of Projective Geometry and all the geometries that are a subset of it. However, I am still unclear how you get from a cross-ratio to the 3 dimensions of scalar sp...

Bruce wrote: RS2 conceptualizes RS Theory as a RATIO of RATIOS Fine, but the last ratio in this statement is a quotient of: what divisor and dividend ? In Projective Geometry the cross-ratio is a set of four distinct points on a plane. http://en.wikipedia.org/wiki/Cross-ratio What is the relation o...

Bruce wrote: A "scalar" does not have the properties of "dimension", "direction", nor "pole"... that's what makes it a SCALAR -- magnitude ONLY! OK, no geometric direction but what about the sign of the magnitude which is often called a "direction"....

Bruce wrote:

They are taken from the reference Horace gave: http://math.ucr.edu/home/baez/week106.html by John Baez, regarding Bott peridocity

Actually, the link refering to Bott Periodicity is a different one, namely:

http://math.ucr.edu/home/baez/week105.html

.

This is just the type of the feedback I was hoping for. Your correction of the GA definition for RS2 is exactly what I was trying to provoke with my quick&dirty definition. Please help me distill this down to a succint statement. " RS2 conceptualizes RS Theory as a RATIO of ... " Bruce...

I'd like you to note that there are different interpretations of RS Theory circulating about. I have come up with a classification system according to Geometric Algebra, which can systematically and succintly compare them. ( If you are unfamiliar with the Geometric Algerba jargon, please see the att...