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has no real non-zero solutions for
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I propose things are square rooted and squared because they deal with one frames interests.
I don’t follow your reasoning.
For example. You mentioned it does not solve for

.
Solving for a value of one frames interest is gernally what all physics is.
-Kintetic Energy, Potential Energy, E=MC^2, Velocity, etc.
These equations have interest in one frames interest. They calculate the value of one frame, from the interaction of two frames.
Principle, no ONE event can occur without a counterpart frame. That is velocity, energy, mass, gravity. All forces for example, they are products that occur from a minimum of two frames.
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I propose things are square rooted and squared because they deal with one frames interests
So for example KE.

>
This solves for KE of one frame. But one frame never has KE unless you apply a secondary frame. This is relativity.
So we have what is collaboration equation. Not a solving equation but a predicting equation:
The delta change in one frame is equal and opposte to the other frame.

The Change value is determined by formula of KE of frame of interest.
(Frame of interest, it has motion. What is lossed in this side is equall but oppositely gained in the other:
(frame 1)

(frame2)
This equation does not solve for one frame. It simply describes what happens. I am not very good at expressing it in math, but I am trying to show that if one frame of mass hits strait on to another frame of mass.
The operation that occurs will be energy lossed on one frame will be taken by the other frame. The velocities are determinable by other equations.
So if we unite those two sides we get a whole, product event. That whole product event is Force. Force did not exist untill the frames interacted.
Thus everything in the universe is predicted to behave this way in respect to this theory.
If you knew nothing of science and you wondered; What is energy? The equation would say, it is the equal yet opposite counterpart of some thing.
Thus you would be inclined to discover what that some thing is. What is opposite to something that measures to have No mass. Something with mass, thus matter/mass.
But how much energy? well you look at mass at rest and energy at C. Mass only moves in one dimension, and a minimum movement is to lose momentum in equal opposite directions. Using also other equations, one would be confident to say E=MC^2, under the understanding all 'things' have a relationship in the form of.

and all relationships generate and event as a whole. We refer to these events as change, motion, or force.
so when I tried to use this:

it is attempting to say
Observer rest: There is a positive(expansion) ratio change in
matter dimension parrallel to motion = Observer acceleration: there is a negetive (contraction) ratio change in
space dimension parrallel to motion
Equal change of opposites. matter = space
It attempts to say, if you measure change in one frame, you can directly predict the change in the other frame and what kind of change that will be relative to each other. The product of these two changes or frames is an event of motion and force.
Thus the equation to solve for force, may possibly never be an equation solving force for one side.
However, it is predicted, that force is explained to be an equation that expresses a change ratio of +1 : 1- for two frames. That change ratio as a whole of each frame developes conecption of force and motion and mass.