2. It is possible to draw a finite straight line continuously in a straight line.
3. It is possible to draw a circle with any center and radius.
4. All right angles are equal to one another.
5. If a straight line drawn across two straight lines forms interior angles on the same side less than two right angles, the drawn lines will meet somewhere on the side on which the angles which are less than two right angles lie.
2. A finite straight line is continuous between any two points, and can be extended as far as we like.
3. Space is such that circles of any size can be constructed around any given point.
4. All right angles are equal to one another. (A right angle is defined as exactly one-fourth of a circle, and when super-imposed, all right angles are exactly congruent.)
5. If one straight line crossing two straight lines forms interior angles less than right angles on one side of the line, the two straight lines will meet at some distance away on that side of the crossing line. Visualizing this we could easily add that if the two angles are larger than right angles, the two lines will meet some distance away on the other side of the crossing line, and if the interior angles are both right angles, the two lines are parallel, and will never meet.
However, it would be a mistake to say the models are completely wrong. They are not, they are only demonstrably wrong in the areas where they disagree. Like in the case of classical physics and relativity, it is probable that the models are incomplete in a way that makes them inaccurate beyond the scale in which they were conceptualized. The point here is that the so-called ‘Standard Model’ is actually a hodge-podge of models that fit together loosely and imperfectly, with conflicts and some holes that are not addressed at all. But this is not a bad thing. In fact, it is a good thing because it tells us that we need to go back and look at the axioms upon which these models were built, and the mathematical tools that were used to build them.
The realignment needed to construct a comprehensive model of reality goes beyond just recognizing that our experiences of geometrical realities are three dimensional, it requires realizing that each and every finite distinction that makes up our experience of reality is at least three dimensional. This is, in fact, the real, most important message of quantum physics. The substance of reality, measurable in units of mass and energy, is quantized, and our experience of it is always in multiples of quantum units. Because of this, a complete overhaul of the current mathematical/logical system used to describe reality is needed.
Newtonian calculus is a wonderful tool to describe motion in three dimensions of space, one dimension of time in mid-scale reality, however, it brings with it axiomatic assumptions that are invalid for describing quantum reality, and that actually causes conflicts between the Classical/Relativistic-scale model and the quantum-scale model. Newtonian calculus assumes that space and time, the measurable geometrical variables of reality are continuous, implying that they are infinitely divisible. This leads to results implying that substances (mass and energy) are also infinitely divisible, which is not true in a quantized reality.
It is important to note that gimmel has been and is instrumental in conveying logical structure into the 4D domain of space-time. We hypothesize that this logical structure is a form of consciousness conveyed from the transfinite and infinite domains of hyper-dimensionality into the 4D domain that we experience through the senses.
The fact that the existence of gimmel is necessary for any long-term structural stability in the physical universe, and the fact that its presence in structures of matter and energy provides logical consistency and meaning not found in purely random processes, suggests that individualized consciousness, manifest in finite organic life forms, is orchestrated by gimmel to impact physical reality like points of light shining through the filter of the mass and energy of particles and waves and the transfinite domains of hyper-dimensionality, emanating from an infinite source beyond space-time.