Holons and the Riemann Space

 The next step is to analyze all possibilities the plane sheet can bring us besides the crumpled ball. In the image on the right you see some of other possible shapes, like a piece of paper with braille dots, envelops and pencil box. Shape is specificely formed structure, and is thus also in-formation.

Structure relates to specific interpositions of folding(s) or enfolding(s). These interpositions can be loosen or compact, flexible or tough. Structure means = formation in special way.

With a plane paper we can create more shapes like origami. The way we envelop or enfold makes the difference. In next image we can say to see a rooster, a dog, bugs, a bird, a fish, and give each of them a "name" ... but in reality it's only paper bended in a special way.

Similar we say in our theory of holons that everything is enfolded from a background gravitational membrane. Interactions of the membrane creates holons (like fundamental particles) which combine with other particles to create atoms, which combine to molecules, which combine to humans, animals, plants and other objects.

The next step is to understand that the plane paper - and the Riemann crumpled ball - can be of a very elastic sheet, folio or membrane.
Now if the Riemann space is very dynamic, and from the plane dynamic surfaces we make several origami-like objects - which are still connected with the surface - then we have a dynamic system like this:
When each of these "objects" is made of the elastic membrane, and the membrane itself is very dynamic, it's logic that the objects have internal structural movements and have a "relative" shape (which varies together with the parts of the system with which the objects were enfolded).

 When you look to the origami rooster you will notice that his total shape and parts of his shape, so it's dimensions, changes all the time, as do the origami dog, bug and letters.

Inside each origami shape the papers parts move relative to each other, and these - internal dynamic surface contacts - give friction (kinetic effects) and heating up (thermodynamic effects) inside the holon.

The movements inside each holon -
caused by the dynamics of the total membrane (background) system - can be called in living beings, like plants, animals and humans: "LIFE". And if we check all components of life, like our skin, brain, nerves, muscles, cells, ... we will notice that all are membranes, and often tubular shaped. These membranes isolate and protect each "unit" from the rest of the environment.

At the level of
atoms and molecules - such "life" -, can be called interrelated "Vibrations". So atoms, molecules and objects have a unique frequency - like quartz - because of their unique, specific internal structure of interconnected "fields" (membranes). At this level are i.e. the amino acids which make the proteins. These are connected by chemical bonds. Where those bonds can be explained in a geometrical way by "membrane enfoldings" into multi-layered spaces (holons).

 This box refers to objects. Because the background paper is dynamic, also it's sub-sets (the origami shapes and their hidden surfaces) are in motion. The walls of the box change dimensions, although they make still the same box. But don't forget that on such paper wall we can make a very small micro origami shape, like a micro-rooster or a micro origami dog!

The internal geometic dimensional changes of objects cannot be noticed by our sensors (like our eyes, skin) because these changes are so tiny, hidden and because they go so fast. That's why - from human's 3D point to view - we consider matter objects to be "solid".
This approach is comform with the geometric concept that matter and energy are simply different types of curvature of space.
Influenced by the non-Euclidean geometries of Bernhard Riemann and Nikolay Lobachevsky, William Kingdon Clifford presented in 1876 such idea. He was thus preambular to Albert Einstein's General Relativity theory, who called this "deformations" of spacetime or topological defects. So Riemann Riemann showed in 1854 - based on a crumpled paper ball (without the origami shapes) - that as there are different kinds of lines and surfaces, so there are different kinds of space of three dimensions, including hidden dimensions.

Above images are similar. Indeed what is an origami object or origami animal on the Riemann space in the left image is a holon with deeper structures in the right image. This is Occam Razor applied, and mathematically correct. There is no need for quantum magic or quantum hype, since our Universe acts by causal processes (cause and effect) of (1) enfoldings (creating holons = topological spaces) and (2) the energy transactional processes (a) between holons, and (b) between holons (sub-sets) and the Membrane (the Whole, the SET).

Where the "quantum uncertainty" is only about the uncertain
outcome of these causal processes, where the "collapse of the wavefunction" only relates to process of the topological unfolding (depelastration/uncoupling) and the observed release of related energy, and where the "quantum superposition" is only related to the higher state of orthogonal position of the parent holons (so, which of the two membrane peaks of holons will be active or passive?), which gives another structural outcome (child holon). This is shown in this pdf. (compare the number of number of layers in holon 3A and 3B).