Soupie
Paranormal Adept
No, I dont have to invalidate hierarchical dependence.For your proclamation to be valid, you would first have to invalidate hierarchical dependence. You haven't done that, and I suspect that you don't even have the faintest idea why you would have to. Maybe it's because the interspatial volume between the quantized space containing your brain cells is disproportionately larger than average ... LOL.
As already noted above: "The term absolute volume makes reference to the fact that, in a quantized picture of physical reality, the minimum number of spatial dimensions belonging to any immediate region will always be equal to three, but the specific dimensions that each locale immediately belongs to may vary."
And here's a bit more about dimensions. The simple fact of the matter is that on the quantum scale, the Euclidian map of reality breaks down; it's simply not fine-grained enough. Events take place "outside" of the macroscopic spacial dimensions of x, y, z, t space.
“We are most familiar with spatial dimensions, namely x, y, and z, or length, width and height, but why do we call these parameters dimensions? To expose the answer, let’s imagine the x-y plane as a flat sheet that extends to infinity in both directions, pick an origin, and label it —zero in the arbitrarily chosen x‑direction and zero in the perpendicular y-direction Figure 3-1. We can talk about the x‑coordinate of any point on that plane, which is the distance the point is from the origin the line in the x-direction. Similarly, we can label the y‑coordinate of any point. However, by using only the variables x and y, we are completely incapable of illuminating anything about any distance above, or below the plane. That is why z is another dimension—because it cannot be expressed through terms of x or y. These dimensions are called spatial because they orthogonally independently map space. Each dimension provides unique and independent information about the map. A perpendicular geometric configuration is one way to express the orthogonal relationship.
“Our common experience suggests that four dimensions are sufficient to completely express where and when any event occurs. We think a specific event is perfectly nailed down once we have described where it occurs in terms of x, y, z and when it occurs in terms of t. But, and this is an important point, physical reality might be made up of more than four dimensions. Events may require more than x, y, z, t information to be uniquely determined.”
Excerpt From: Roberts, Thad. “Einstein's Intuition.” v1.0. Thad Roberts, 2015. iBooks.
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Check out this book on the iBooks Store: Einstein's Intuition by Thad Roberts on iBooks
For the record, according to QST, there are really an infinite number of fractally hierarchical dimension sets, but 11 is a sufficient starting point to map most of the phenomena unfolding in our universe: 3 super-spacial dimensions, 3 (Euclidian) spacial dimensions, 3 interspacial dimensions, 2 time dimensions. However, as noted, these dimensions are fractally nested in an infinite hierarchy extending both "up" and "down."