(September 3, 2022) The material realm is defined by having events separated by space-time distances. In contrast, the spiritual realm is defined by having events separated by quality distances. A quality is a conscious sensation or a fundamental conserved quality of matter like charge and angular momentum. The spiritual and physical classes of qualities are very likely linked at a deep level.
(July 7, 2022) Space itself is best seen as being the average background noise of the quantum network. Space is not fundamental for two reasons. The first is because it can be defined as being a regularly connected network. Networks can even define fractional spaces and higher dimensional spaces. The second is that it will change in order to keep events consistent as shown by Einstein's Theory of General Relativity.
The creation of the universe probably should not be seen as the creation of something from nothing but as the sudden crystallization of part of the underlying randomly connected divine network into a regular spatial network. As the universe expands most of its spatial network is gradually returned to its randomly connected state.
Networks as causal connections were a part of the Ancient Pagan Paradigm of the Neolithic farmers. The idea that things can only interact if they are connected is as valid now as was then. Yet the modern quantum mechanical network which guides matter is not hierarchical going from divine source to the material realm but instead is self-assembled on the fly using the divine realm as its eternal substrate. The quantum mechanical wave functions assemble the space-time network by wave interference.
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This network assembly idea gained traction with the work of Richard Feynman on Quantum Electrodynamics after World War 2. His "Sum over Paths" formulation of quantum mechanics became the standard after he used it to developed Quantum Electodynamics (for an easy and non-mathematical introduction see Feynman, 1985). In this approach all possible pathways of light are considered and only those which don't cancel out provide the most probable network paths along which a casual event will occur. Physicist, Michio Kaku puts the significance of Feynman's pathing approach this way and the parenthesis are his:
The power of Feynman's "sum over paths" is that today, when we formulate GUT theories, inflation, even string theory, we use Feynman's "path integral" point of view. This method is now taught in every graduate school in the world and is by far the most powerful and convenient way of formulating the quantum theory. ... (When I first learned of Feynman's point of view as a graduate student, it changed my entire mental picture of the universe. Intellectually, I understood the abstract mathematics of the quantum theory and general relativity, but it was the idea that I am in some sense sniffing out paths that take me to Mars or the distant stars even as I walk across the room that altered my worldview). (Kaku, page 164)(July 7, 2022) Studies of quantum entanglement show that the structure of the quantum network and its provided event constraints in one location of the universe can change instantaneously based upon changes in another part of the universe.
Quantum mechanical field waves partly exist outside of space-time as evidenced by their use of imaginary numbers in their equations to represent a temporary hidden dimension. These waves thus are not limited to the speed of light limitation. These wave fields don't become real again until their end result is mathematically squared removing any reference to that hidden dimension.
(July 7, 2022, updated March 26, 2025) Perhaps everyone has heard of the time-space continuum from Einstein's Relativity Theory. This is the foundation of the universe and mathematics because it has the property that some smaller interval always exists. If a system needs it then it can pop into existence. The classic example of a continuum is the mathematical curve defined by 1/x shown to the left. Because the curve is symmetric around the point (1,1) as many points can exist between 0 and 1 as between 1 and infinity.
With no hard minimum length, lengths can only be defined in a relative fashion by ratios from geometry or from wave functions (musical harmonics, quantum mechanics). That is, by comparison of a reference length to another. The reference length can be called 1. All other numbers can then be defined by a ratio making process. Mathematics can thus be used to approximately describe the workings of continuums.
Historically, this insight was first made by the Pythagoreans. The first Pythagorean who wrote anything down seems to be the Greek Philolaus who began his book (only now exists in small fragments) with a bold statement about this insight:
Here the continuum is called an "unlimited" and the "limiting" processes were the ratios defined from geometry and musical harmonics.
Stanford Encyclopedia of Philosophy - Philolaus (Sept 2003, revised September 2024). Online at: https://plato.stanford.edu/entries/philolaus/
(July 7, 2022) Another example of how space is not fundamental is its changeability according to Einstein's General Relativity Theory.
The benefit of a purely spatial network compared to non-spatial network is its consistency of coordinates. In two dimensional mapping this is called closure. If all the distance and angle measurements do not end in the same place then some error exists in the measurements (see illustration).
This sort of closure becomes more complex once time is added. Spatial coordinates become space-time events. In order to keep event coordination time will slows down for objects traveling near the speed of light in a vacuum and in strong gravitational fields. Space will also shrinks in the direction of motion in objects near the speed of light as well.
