Now if we go one step further and introduce a third Argand diagram of Z and vZ, we destroy the two planes but generate 3-dimensional Real space of X,Y,Z butted up against what looks like a 3-D Virtual space, BUT there's a problem. Any two vectors interact (known as the vector product) to form a third vector which is perpendicular to the plane of the two. For example, unit vectors i and j of the X and Y axes generate the unit vector k of the Z axis. So our Real space is maintained due to this interaction. The rub is when we try this in Virtual space. Because ivi times ivj generates -vk for all three possible interactions it seems that the 3-D Virtual space must collapse into a negative one dimensional imaginary axis perpendicular to the three Real axis to create 4 dimensional spacetime. Einstein and company showed early on in the 20th century that the proper distance between two spacetime points (events) is given by a Pythygorian formula of the square root of X^2+Y^2+Z^2-t^2. Thus we find that time might be created by the interactions of the three Virtual axes. As in my previous findings I have found no description of this result in the literature.
Friday, June 10, 2011
Is This Time - Really?
RANT #7: If you tried to really imagine Rant #6 - I might be able to help with a diagram. The top left figure illustrates how two two-dimensional Argand diagrams might be oriented to maintain their orthogonality (perpendicularity). We should note that negative space (-X, etc.) is a fiction. The origin of the coordinates can always be moved to keep the distances positive. In this figure Y is 90 degrees (PI/2) from X so we can swing the angle A through the whole plane. Since the two planes coincide along the vertical axis we know that the angles in the virtual plane must be consistent and are left with the figure in the lower left. Now plot cos A in the Real plane and sin A in the Virtual plane and add their values and you'll generate the pringle function.
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