Euclidean Time and Space

Perhaps the most fundamental element of nature is a void of time and space that is the background for the universe*. In the formulation of Neoclassical Physics and Quantum Gravity, NPQG, I have presumed no functional capabilities of the void other than to serve as a vessel for energetic unit potential point charges and their potential fields. Let’s discuss the characteristics of the void.

Note : Einstein’s spacetime is an emergent behaviour caused by point charge assemblies that permeate the void and all standard matter.

The void itself is defined as emptiness.

“A Euclidean vector space is a finite-dimensional inner product space over the real numbers.“
Wikipedia

The geometry of the void is a Euclidean vector space with one-dimensional time and three-dimensional space, each continuous over the real numbers geometrically. This means that time and space are linear, i.e., flat.

The void istelf has no markers or signposts.
The void itself has no coordinate system.
The void itself has no charge and is neutral.
The void, in the absence of point charges, would contain no scalar or vector potential field.
The void has no known beginning nor end in time or space.
The void has no known historical origin and no known future end.
A point charge with a velocity of zero, is at rest relative to the absolute frame of the void, and casts no path history while at rest.
By leveraging the v=0 point charge definition, the void is considered to be a non-moving absolute frame of reference. This is the basis of absolute relativity.
It is only via the contents of the void, the energetic point charges and the electric potentials that they emit that we are able to define relative position and measures of time and distance.
The highest energy and smallest radius close approach of orbiting electrino : positrino defines the Planck scale, which gives us a system of measures.

NPQG defines one constant of nature, which is the speed of the electric potential field emitted by a point charge, which we label with the symbol ‘@’. I am inclined to assign that constant of nature to the characteristics of the unit potential point charge rather than to the void. Note : The photon, which is an assembly of point charges, travels at speed c, which approaches @ in low apparent energy spacetime aether.

How do we establish a system of measurement in a Euclidean void of time and space. What are the fundamental units? How do we build a hierarchy of observables?

We know the radius of curvature of each positive-negative orbiting point charge dipole. We know the limit of radius of curvature. From the limit we can develop our first metrics based upon absolute time and absolute distance.

What do we mean by density of matter? What would we find in an absolute volume of 3D void, which is the denominator in the density calculation?

A count of electrinos, the negative unit potential point charges
A count of positrinos, the positive unit potential point charges
The net potential energy and kinetic energy of the point charges.

Those are high level aggregate metrics. We can model and simulate the individual point charges and their individual PE and KE. PE is their energy of position that may be realized on their future path, and KE is their realized PE based upon their path history.

Now certainly Einstein wasn’t calculating at the level of individual point charge provenance. I presume he was using aggregate metrics for spacetime aether. Little did he know that all standard matter particles are also based upon Lorentz invariant Noether cores.

Einstein introduced the cosmological constant for the only purpose of making general relativity consistent with the principle of relativity of inertia, which basically says that “the metric tensor must be entirely determined by matter”.
O. Minazzoli – Twitter

Well, I find this fascinating because it gets to the heart of the matter as to what is the definition of matter? For the longest time standard model particles have been considered matter and Einstein’s spacetime is considered a geometry. But note his quote above! He says the tensor is entirely determined by matter. Then he maps the tensor to spacetime. But you don’t need to do it that way at all! Einstein points the way. The tensor is entirely determined by matter. Now, if we translate that into the NPQG unit potential universe, I presume that Einstein would now call the unit potential point charges matter and standard matter particles to be assemblies (h/t Walker/Cronin). I presume with the proper mapping, the behaviour of assemblies of unit potential point charges in spacetime aether and standard model particles is equivalent to Einstein’s metric tensor over a very broad scale.