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The Small-Scale Universe According to Base-2 Exponential Notation, Planck Units, and Simple Geometries

Small-Scale Universe

Background: A very simple model for everything-everywhere is the 201+ base-2 doublings (exponential notations or domains or groups or sets) from the Planck Length to the Observable Universe. It is logical, mathematical (especially geometrical), and systematic.

The 201+ groups can be divided in thirds (cursor over the image on right). The hypothesis is that the first group of 67 doublings is the small-scale universe. The second group is the human-scale universe ranging from the 67th doubling to the 134th and 135th doubling. So, the third group, the large-scale universe, would go from the 134th and 135th doublings to the 201+ doubling.

Our focus within this article is on the first 67 doublings and a search for the answer to the question, "How could this be a functional small-scale universe that gives rise to the human-scale and large scale universe?"

Each doubling from 1-to-201+ will also be referred to as a cluster, domain, group, layer, notation, set, and step. Each word represents its own special perspective and specific parameters for each doubling.

Each domain is also defined by the other Planck Units. Yet, for the next sixty or more doublings, the only possible measuring device is the Human Mind and simple logic.

Within every domain there is a potential range created by the possible doubling of each Planck Unit.

At this juncture of intuiting the logical sequences, assume with each doubling all the new information is rolled into the next domain.

History: Once Called The Aether, Continuum, Grid, Hypostases, Matrix, and Vinculum. This small-scale universe has been given many different names over the years and throughout the millennium. The initial definitions of the small-scale universe within The Universe Table and the Big Board-little universe came from these discussions as well as ancient philosophy, systems philosophy, process philosophy, brain-mind and subject-object studies, cellular automaton research, and discussions and on-going analysis of the nature of Pi, Phi, and the circle-sphere.

These historic discussions about the aether (or ether), continuum, firmament, grid, hypostases, matrix, plenum and vinculum will be referred to throughout this discussion.

Simple Parameters. Initially, it appears that each of the 67 notations will have vertices, an open potential structure based on the number of vertices, mathematically-driven numbers based on the potential doublings of each of the Planck Units. The boundary conditions are the ranges given by the Planck Units, all mathematically-defined measurements.

Major Presuppostions for the Small-Scale Universe

  1. Everything-everywhere in the universe shares parts of the Small-Scale Universe.
    The shared forms-structures-qualities-relations-systems increases as the scale decreases. At this point within these studies,
    it is believed that every entity shares the earliest and smallest notations.
  2. The universe is isotropic and homogeneous because of the Small-Scale Universe.
  3. The fundamental initial conditions that bind the universe are order-continuity and relations-symmetry
    such that within the small-scale universe, space and time are derivative.

Introducing the Small Scale Universe

All 67 notations are held in question, open for scrutiny and study. The first notation is a doubling of at least one of the Planck Units, probably the Planck Length. Simple mathematical calculations within the human-scale universe will provide the essential insights to confirm every postulation about the small-scale because every measureable unit within the human-scale will be reflected within the small-scale. Therefore, every piece of information about quarks, strings, fermions, protons, neutrons and the elementary particle zoo will have an application within this small-scale universe and with all the basic Planck Units.

Much more to come....

1. Max Planck, Einstein, The Mind

2. Cellular automaton for mathematically driven forms and structures.

3. Pi, Phi, and Pentastar for degrees of freedom and human will

Historical insight:

Pythagoras, Plato (Eidos or the Forms), Aristotle (Ousia or structure and substance).



Aether (or ether)



Roger Penrose


Religious thinkers


Frank Wilczek


Philosophers and apologists





This model starts with  an unknown very-small universe then includes the entire known universe, all within measured units. In this model each of the three scales,  small-human-large,  has just 67 doublings.