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a bit of dimensional analysis

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Posted by JohnCauthen on September 17, 2003 at 23:29:46:

Given the Planck quantum of change as h-bar = ML^2T^-1 where M is mass, L^2 is the square of length and T^-1 is the inverse time, and setting h-bar = 1, as in the geometry of the Planck scale, then 1=ML^2T^-1. Perhaps it would be interesting to rearrange this formula to give values for mass, length, and time at the Planck scale. Then we would have

T=ML^2
M=TL^-2

Given a relationship between mass, length, and time (which is a rather unsual relationship, as pointed out) if there are lines of points that each have inherent mass
……………………….

and they are expanding into the vacuum, the only thing defined in math as real are the points, but every definition at this level is not absolute. The vacuum is the idea of non-existence, but it exists as a vacuum, which makes it real. So we have two levels of reality. Since the vacuum does not contain the concept of space, the points are having a hard time expanding into it, yet, they are expanding. Something that does not have the idea of space is being expanded into. Therefore the points are being resisted as they expand, creating an compressive force pushing the points back together.

The vacuum lies between the expanding points. And the vacuum is nothing, so the points want to fall back together. The attractive force increases as points get farther apart. It decreases as they come closer together. There is a varying elastic force between the points of space.

In this line of points, mass is detected when one of the points move. If the first point moves toward the second, then like a wave sent across a rubber band the equilibrium of the force between the points is upset and the second point moves toward the third point. The third point moves toward the fourth point. The points in motion are called particles. When not in motion the points are undetectable. They are places in space.

In this line of points, or in a plane of points, it would make sense that mass equates to time and length squared, because the only way mass becomes detectable is if a point moves, traversing a length of space, and time.

The idea that mass is the inverse of time length squared may say that mass exists in the points when the points are still. Because when mass starts moving, while it may be detected, what we really detect is not mass but momentum and energy, the inverse of mass.

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