September 15, 2018: O: Offset (the first thing that can exist, that has a chance of existence, because it is the first relational boundary)
The definition of offset is the amount a system is out of alignment. To a research scientist the word offset means that a system under study is a disturbed field. So, first, what is it we can learn about systems and fields in relational philosophies, especially those applied to observing the expansion of our universe and the expansion of our perfectly circular, though expanding, droplet?
If the universe were like our perfectly circular droplet then nothing would experience flow, since there are no changes (that’s what coherent suggests in describing a singularity source as coherent). No change in perfectly circular form then no function. So function in our universe is matched with a change in form, and that’s where the mystery of the offset occurs in radial expansion.
Nothing exists if there is no offset, if there is no relationship or change boundary. Our universe was supposed to emerge from a coherent, Big-Bang, singularity source. That singularity that started everything was supposed to be coherent. For a droplet that expands radially the same condition starts the expansion (that is, if there are no vibrations or perturbations that get our droplet out of whack). We might call this perfectly circular expansion outward, a perfectly circular field with all field lines the same distance from their source. But we will discover some eye-opening facts about zero when we come to the letter z. (Z stands for zero, that might exist in our checking account, but in our universe, zero is a limit, that, we hope, does not exist).
So in our universe, not anything can arise from a perfectly circular and stable field. An example of an almost perfectly circular gravitational field might be imagined if we look down at a wine glass filled with water. (requires scanning down on the sample of the research paper) Someone has drawn lines at equal spacings from the bottom of the glass (above the stem) to its lip. All the lines form perfect circles if seen from above. If a light is shown on the wine glass from above, then the circles around the glass will project onto the surface below the glass as perfectly symmetrical circles. The circles tell us the shape of the field the water in the glass is exposed to. Keeping the edge of the water in the glass as a perfect circle is impossible. In this thought experiment, we realize that all kinds of vibrations in the environment will change the shape of the edge of the water as compared to these perfectly circular lines (the circular edge of the water might slosh about, even to cross one of the drawn circular lines on the glass). In the wine glass, it is the shape of the glass that provided the forces on the water to negate the force of gravity it is exposed to.
In the radial expansion of our droplet from an injection point (an analog to the expansion of the universe), the injection point forms the center of the field (like the stem of the glass). When all the field lines are equal distance from the injection-point source then we say there is balance in the field, but how can our expanding droplet or universe go unstable? It goes unstable when the center of gravity/injection (c.g.) or its centroid is no longer at the injection point singularity. How does this happen?
With the wine glass, that, as OO7 might say, “Needs to be shaken. Not stirred.” When the field in the glass is disturbed by a force then the water sloshes about across the field lines. The same thing happens with the universe or our expanding droplet. But the first thing that perturbs it, the first change, becomes the first relationship boundary. But (as we look at it) its form does not change—at least from the perspective of someone looking from above.
Our unperturbed droplet as it expands from a point follows perfectly circular concentric circles as it travels outward. So how can we tell if it’s perturbed or if its boundary is changing shape (because we need to see a change of shape for us to believe some function has occured over a first relational boundary).
Instead of the slope of the wine glass forcing the shape of water poured into it, it is the surface tension on the outer boundary of the expanding droplet that controls its shape into a perfect circle.
But as I look down at the analog of our universe, this expanding droplet, how do I know it has begun to change shape and go unstable. You might say that when the shape of its boundary begins to buckle and change from a perfect circle, but you’d be wrong. Water has such a large surface tension that it prevents a change in curvature. A perfectly circular expanding droplet, as seen from above, looks like an unperturbed field (of constant curvature). But wait! That’s our human-centered/observer-centered view of what looks to us like a perfectly circular expanding droplet. But if we are good scientists, it isn’t for us to determine whether the droplet is unperturbed, it is for the droplet to determine that.
Remember, it is the droplet that sees any perturbations from it’s reference point (its injection point). And the OFFSET in the experiment is the distance of the boundary of the droplet from this injection point. In the videotape of this experiment, when the boundary goes unstable, because of how powerful the surface/interfacial tension is there, the droplet keeps its circular shape, but to the droplet, its own boundary looks unstable (one sine wave superimposed on the boundary’s field line).
Besides the offset mode of expansion looking like a perfect circle, it can fool a researcher into thinking the unstable or buckling phase has not yet occured, but that would be wrong. To the droplet itself, it has already gone unstable as it creates what looks like a perfectly circular expanding field that is offset from its original injection hole.
Something else that is most profound (if you’ve managed to follow me this far) is that if a droplet like a primitive cell only offsets then even though it looks perfectly circular, it experiences a crest and a trough around its boundary. If the offset mode of the droplet does not unstabilize or buckle or change its shape, then as it expands, the flow patterns inside the droplet will change and the trough will grow perfectly through the droplet’s center. There doesn’t need to be too much expansion or heat for this to happen, just an ingrown trough that forces the inner fluids to flow in such a way as to stabilize the trough membrane tunneling through the droplet. This is how I believe the first cell divided perfectly in half. The water-based droplet coated in an oil-based fluid (when the viscosities of the inner and outer fluids are almost identical) may make this situation of the first mitosis of a drop quite easy to occur and probably existing nearly everywhere in our universe (where it is ideal for water to exist as a fluid).
So, an offset is how a droplet’s perfectly circular field first becomes unstable—obvious to the droplet, but not so to its human observer.