Re: Dimensions in the Reciprocal System
Posted: Tue Sep 20, 2016 5:25 pm
Below is an example of a random 1D scalar motion normalization (Doug probably will correct me that it is 0D).
The canvas of the graph represents a God''s view, which is an arbitrary point of view and practically inaccessible to anyone inside the physical universe.
The horizontal axis depicts one aspect of motion while the vertical axis depicts the other/reciprocal aspect of motion (e.g. time and space).
Together they define a series of ratios. Because on one-unit-basis, the ratio is always ±1Δ:±1Δ (unit speed) then all of the lines appear diagonal at 45º angle. However collectively (averaged over multiple units) this angle (speed) can vary. The diagram itself is 2D but it depicts a series of 0D scalar ratios.
These ratios are not oriented in the first frame but in subsequent frames they get normalized so that the motion progresses uniformly with respect to the horizontal axis and never reverses. This normalization is also arbitrary, but it nicely illustrates the lack of intrinsic orientations of these ratios and the creation of unidirectional "time" by the normalization process. The animation of the unwinding is also arbitrary - it is merely a visual effect to aid in understanding of the directional normalization (ratio orientation) process. Only the equivalency of the first and last frame is significant.
Normally the normalization is not done so arbitrarily but with respect to a second motion that acts as a reference or datum. The normalization between two motions is not shown on this diagram.
The canvas of the graph represents a God''s view, which is an arbitrary point of view and practically inaccessible to anyone inside the physical universe.
The horizontal axis depicts one aspect of motion while the vertical axis depicts the other/reciprocal aspect of motion (e.g. time and space).
Together they define a series of ratios. Because on one-unit-basis, the ratio is always ±1Δ:±1Δ (unit speed) then all of the lines appear diagonal at 45º angle. However collectively (averaged over multiple units) this angle (speed) can vary. The diagram itself is 2D but it depicts a series of 0D scalar ratios.
These ratios are not oriented in the first frame but in subsequent frames they get normalized so that the motion progresses uniformly with respect to the horizontal axis and never reverses. This normalization is also arbitrary, but it nicely illustrates the lack of intrinsic orientations of these ratios and the creation of unidirectional "time" by the normalization process. The animation of the unwinding is also arbitrary - it is merely a visual effect to aid in understanding of the directional normalization (ratio orientation) process. Only the equivalency of the first and last frame is significant.
Normally the normalization is not done so arbitrarily but with respect to a second motion that acts as a reference or datum. The normalization between two motions is not shown on this diagram.