Arcturian space door

A Philosophical Extension

A Mathematician's life can't be said to be always meaningful -- much as mathematicians would like for their equations to make sense! There's no question that Werner Israel's discovery of the cubic relationship between distance and velocity is of prime importance. However, making that central cubic relationship work in the context of the solar system as we see it is a great challenge. In this paper the cubic core is given a new trapping, all in an attempt to place the cubic relationship in context.

At first glance this math is trivial, but on second consideration it's devastatingly difficult. The difficulty may lie in the assumptions being made. We tend to have an Earth-centric view of the universe, so that mathematically intuitive constructions are limited by the scope of our vision, which we automatically assume to be correct. In other words, a homey equation framed around the Earth's rotation has a comfortable feel about it. We tend to look no further. But that may be the problem.

In this paper the scope of the mathematical framework is extended to include our neighbor, the Moon. The thinking is that how we see the solar system from the Earth is extended through the scope of the Moon. From a theoretical and mathematical viewpoint, the solution boils down to a new trapping for the cubic core. It's one of a thousand different formulations, literally, that could be made. That lack of focus is what makes Math a creative pursuit, and what makes it so disappointing too in some ways.

Indeed, short of traveling to the Moon there's no way to really test the hypothesis. So what we have here is an abstract concept. The hypothesis is that the Earth and Moon make up a unit -- not just space-wise, but gravity and time-wise. The hypothesis is neither far-fetched nor insignificant, given that the Moon is close enough to travel to, and given that some men have traveled there.

Hyper-Philosophy of Arcturian

A cubic transformation of distance is nothing more than a way to extend the distances of the planets in an exponential way. The farther away they are from "unit distance," the more effect the cubing will have. Since the Earth is at the unit distance itself, its cubed crossing distance in miles or Astronomical Units is not much different than its uncubed distance, since the cube of one is one. But as the planets get farther away from a single unit, their crossing distances become more stretched, compared to their uncubed base distances.

Now, as far as the one-tenth problem goes, one could create a variety of fantasy worlds in which, for example, the Earth's solar "null point" which is one-tenth its distance to the Sun, is posited to be somehow involved in how we see our own Sun and the rest of the planets.

But if all the planets were to be measured against this null-point, the Earth would have to be at the center of the solar system. The Earth's real distance, which is set to 92,634,370.44 miles, being one Astronomical Unit (AU), would have to be the reflective horizon of the Sun upon which our year is measured. It's a complete reverse of the real state of affairs. Is this the best one can do?

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