RS2 postulates are based on Larson's originals, just edited down a bit for a more general application:
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The universe is composed of one component, motion, existing in three dimensions, in discrete units, and with two reciprocal aspects.
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The universe conforms to the relations of ordinary mathematics, its primary magnitudes are absolute, and its geometry is Projective.
Compared to Larson's original postulates:
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The
physical universe is composed of one component, motion, existing in three dimensions, in discrete units, and with two reciprocal aspects, space and time.
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The
physical universe conforms to the relations of ordinary commutative mathematics, its primary magnitudes are absolute, and its geometry is Euclidean Projective.
The reasons for the changes are:
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Removing "physical": Larson's last book, Beyond Space and Time, had to invent a number of metaphysical postulates to explain certain things he ran across during his research, that could not be addressed in the physical theory. By removing "physical", and generalizing other terms, these metaphysical postulates are not needed, as the original postulates apply to the metaphysical.
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Removing aspects of "space and time": Though applicable for the mechanical view of the physical universe, the aspects--though working in the SAME fashion--tend to receive different names in the metaphysical, such as "yin and yang". The names may change, but the reciprocal relationship holds true to form.
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"Commutative" was dropped because mathematics are only commutative in a 1-dimensional, linear geometry (the number line). With the inclusion of polar geometry--the reciprocal of linear geometry--commutative laws no longer apply since we are dealing with multi-dimensional geometry, such as that expressed in "imaginary" numbers. Ordinary mathematics still holds true for the respective geometries.
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"Euclidean" was changed to "Projective" to include all geometric strata. Larson's "scalar motion" model actually uses affine geometry--not Euclidean--which is included in Projective geometry. The bottom layer of Projective geometry IS Euclidean. By using the rules of projection, RS2 can transform scalar motion to coordinate motion in the appropriate frame (something Larson was never able to accomplish).
