Mass, Inertia and
Momentum


Mass is defined as:
The ability to establish a reference frame
.


A   
t any point in the manifold each positional field emanating from a countable unit, as well as the isotropic grid in which they are arrayed, combines to define the direction of a straight line and the measure of unit length.

Two unit fields have twice the capacity to establish a reference frame as a single field, vis. the initial layout grid defines the manifold as flat Euclidean at every position while a positional field is always curved (most near its center). Combining the degree of curvature of the positional field with the gridwork produces a compromise curvature less than that of the positional field but more than flat. Adding another positional field in the same place produces a still greater curvature.

A single field has increased mass in proportion to the cube root of the difference from the grid density. (A finite part of the field compressed to half or expanded to twice its diameter has either twice or half the mass of the original field.
The setup grid has the same density throughout (by definition, and in conjunction with the Uncertainty Principle). Thus, a given positional field might contract or expand becoming more or less dense and thereby more or less able to influence the definition of a straight line at any given test point.

Inertia is the measure of self-resistance to acceleration.

The random motion of the center of any positional field is affected by the curvature of space caused by the acceleration of its own field.
Since the field of every particle contributes to the curvature of space, any distortion of that field causes a distortion of space in general. And the random motion of the center of the positional field is affected by that distortion. The cause of the distortion is the impossibility of transmitting an effect instantaneously to all parts of the field. So that if the center of the field moves, the rest of the field lags behind creating a negative curvature.

Momentum in the classical sense is conserved to comply with the fundamental postulate of this work (Internalization of Logic). Because the universe does not exist relative to anything external it cannot give evidence of overall motion.
A change in the center of mass of the universe, as embodied by momentum non-conservation, would constitute evidence of such motion.

Angular momentum is conserved because the universe cannot be in an overall state of rotation.

Absence of overall linear and angular momentum is the default state.

Both linear and angular momentum are conserved instantaneously within the context of the rest of the universe. That is, when momentum is supplied to a mass an opposed momentum cannot be suplied to the rest of the universe as a whole because this would give evidence of instantaneous information transmission.




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