Part IV - Rotational Dimensions
Posted: Tue Aug 03, 2004 2:36 pm
3. Cross-boundary Projection.
All our (human) observations refer to the Outside Region. When we try to "understand" (visualize) phenomena pertaining to any other Region---which might be within the precincts of the Outside Region (like the Inside Region), or totally beyond it (like the Cosmic Sector)---we consider a PROJECTION of the phenomenon concerned onto our observational domain, namely, the Outside Region. A mathematical/logical investigation might lead to knowledge of the true properties of a system. But it may not always be possible to visualize them, or some of them. Further, when we do create the projections of such phenomena, these projections might not show characteristics that our common sense view is accustomed to. We shall keep this factor in mind.
4. We have noted in "Part II" that while linear motion is primary in the Outside Region, rotational motion is primary in the Inside Region. Consequently we need to take that the reference frame that is pertinent to the Outside Region has to be a Linear Coordinate System (LCS) and that to the Inside Region a Rotational Coordinate System (RCS). In an earlier article (Nehru, "Some Thoughts on Spin," Reciprocity, XXVI (3), Winter 1997-8, pp. 15-18) we derived for a self-sufficient system of space (or time), the dimensionality---that is, the number of independent coordinates---has to be 3. Thus while the LCS is comprised of 3 linear coordinates, say, x, y, z, the RCS is comprised of 3 rotational coordinates, R1, R2, R3.
Bruce, Nehru
All our (human) observations refer to the Outside Region. When we try to "understand" (visualize) phenomena pertaining to any other Region---which might be within the precincts of the Outside Region (like the Inside Region), or totally beyond it (like the Cosmic Sector)---we consider a PROJECTION of the phenomenon concerned onto our observational domain, namely, the Outside Region. A mathematical/logical investigation might lead to knowledge of the true properties of a system. But it may not always be possible to visualize them, or some of them. Further, when we do create the projections of such phenomena, these projections might not show characteristics that our common sense view is accustomed to. We shall keep this factor in mind.
4. We have noted in "Part II" that while linear motion is primary in the Outside Region, rotational motion is primary in the Inside Region. Consequently we need to take that the reference frame that is pertinent to the Outside Region has to be a Linear Coordinate System (LCS) and that to the Inside Region a Rotational Coordinate System (RCS). In an earlier article (Nehru, "Some Thoughts on Spin," Reciprocity, XXVI (3), Winter 1997-8, pp. 15-18) we derived for a self-sufficient system of space (or time), the dimensionality---that is, the number of independent coordinates---has to be 3. Thus while the LCS is comprised of 3 linear coordinates, say, x, y, z, the RCS is comprised of 3 rotational coordinates, R1, R2, R3.
Bruce, Nehru