Mike Strand wrote:To Voice of Time: What is your reaction to the following?
I think your theory may be related to ideas in statistical theory in which the aim is to find a point or locus of points with a least average distance (or least average squared distance) from a given set of points. This is similar to your idea of "least-disparity", I think. In the case of three points on a line, corresponding to the durations of your three processes, if the choice is restricted to one of the three points, that would be the middle point. In a way, the middle point serves to "represent" the other two.
So a possible solution to my example of three processes, one with drips, another with notes, and the third with puffs, is to take the duration of the process of the woman playing notes as the "least-disparity" process, since it's duration fell between the durations of the other two processes, and agree that its duration reflects or represents the durations of the other two processes.
Another technique you might check out as possibly related to your thought-experiments on time is "Cluster Analysis", or "Clustering". It examines data points (e.g. collections of durations of time) and tries to group them into clusters in which the members in a given cluster are "more like" each other than they are like members of other clusters. Two of its applications are pattern recognition and image analysis, and if time durations were the inputs, this might suggest to you that the technique might yield "intuitive" solutions to problems of time duration that don't rely on an outside reference, such as a clock.
Thanks for the topic, V of T, and I hope you haven't felt too harassed by my questions and attempts to understand your thought-experiment. I hope you see that I'm trying to understand it and trying to suggest interpretations in clear language, to the best of my own background and perspective. I think you've made a good effort to get at some fundamental ideas about (local) time that get away from the traditional reliance upon clocks.
I'll address each paragraph by number and then I'll add a rather more meaty, less technical and more different explanation than before:
1) In an associative-thought-way I think it sounds nice, but I don't think a line-segment could represent it my theory, at least I can't understand how it could without putting restraints on the interpretation that would complicate it.
2) Only if she indeed finishes in-between. This is something you'd have to see for yourself however, and isn't found in the formality.
3) Like 1) this one also sounds well associatively. I do have problems understanding it though somehow (I reckon I know what you mean but I haven't heard the use of the term "cluster theory" as far as I can remember). A weakness remains in that I wouldn't know how to convert algebra into cluster theory and couldn't therefore possibly answer your question thoroughly.
4) Harassment isn't a word I would use here. I get tired because you give me a lot to go through in my head with, logic especially, but it's not too bad, continue if you want
In the end I'd like to tell you that an easier explanation which I now came up with is that given you were to head out into space. You live there for 50 years. Back on earth the time has past 60 years. You use the same clock, yes, this time I allow you to think with clocks. Because the clocks were supposed to be the same, there clearly is a distortion as to which unique clock-process you choose to wield, if you went even further out into the galaxy and found a black hole and managed to stay there for a while, your time had only past 30 years. Clearly there is here a
least-disparity in that if you choose to stay only the little distance off the earth, you'd only get a time-distortion of 20 and 10 years, while if you went to the black hole or on earth you'd have a disparity of 30 and 20 for the black whole and 30 and 10 for earth. The problem about this example, a minor problem but big for me personally, is that this happens also right in front of you! Not only galactic distances, but straight in front of you! And
in theory, but practically not very feasible, you can calculate the relationships of the different objects of your world to find which one is distorted the least, has the least disparity in relation to its fellow objects (processes).
Let me give you a phenomenological-epistemological example: first, would you agree that time, is not a variable, that the variable of math called time is only a kind of representation, and that real time, is actually the "flow of change", the sum of all changes happening in the world. This means that when I look out into the world and I see these objects, these objects caught in the flow of change, these processes (whether they
appear timeless or not, as in I can't spot the change, is irrelevant. Imagination knows that my piece of bread contains huge sums of organisms, although I can't see them they are there and they are causing
differentiation of moments, or
change as that term means).
When we watch the clock, we are seeing the digits (for instance in a digital clock) differentiate, change. Then we look at the world and watch it. The clock is order, the world is chaos. Order because the clock is like a circle we can walk in our minds and never get anywhere but the place we started or stopped. Chaos because all the processes breaks down, wither away, slowly but surely, we know it, even if we don't always see it, and we would move our minds out of the way of these processes' endings, and we would stop watching them, retreating back to our clock, our eternal circle of truth. Watching the clock we'd see a world which followed patterns of adherence to the logical circle, or patterns atop of the pattern of movement in the clock. We can't use the chaotic processes because either they don't differentiate or they differentiate so soon we'd have to jump to another process to keep track of the world-in-relation. But, if we were to try and use some of these differentiating processes, focus on them, you'd see that you'd experience a rate of change different than a clock. Because this experience is faster, everything in relation to it would occur slower, not only
by comparison, but actually they would happen slower in that they would happen less because your mind is busy with keeping track of the rapid differentiation. Now, watch another process, a timelessly-appearing process, like a building, standing still and never changing. Here you would see how fast everything else is happening, because the building can't satisfy your capacity to track differentiation you'd use more to capture other differentiation. Now using all these three different types: a timelessly-seeming building, a clock, and a rapidly differentiating process like hail for instance, you'd find that depending on which of them you choose to focus on, you'd loose some by not tracking the other. If you track the clock, here in-between, you'll loose a lot of surrounding focus, but not so much as when you track hail. When you track the building however, you'd gain a lot of surrounding focus. Now, think about this: if
you have such a need to focus, doesn't
the universe also need to focus? Does the universe add all things simultaneously or does it focus on changing, differentiating, things in specific parts of its content at a time? Obviously when you look around you you'll see that one thing is changed before another, and hence the universe as you and your fellows see it is focusing.
The clock is meant to represent the universe. However, what if the clock is humbug and that really the universe has a much better measure device process which, when watched by us individuals, is not distorted so much in the eyes of the universe. That is: the universe is treated here as a person, but fairly so, and what I'm here essentially am saying is that if you have one focus, and another person which represent not only you but all things around you; have a different focus, shouldn't you be focusing the processes focused by the other person which is most close to the average object of focus for that person?
The thing which has the least-disparity of receiving focus compared to its fellow objects.
Now, have I made things clearer or further complicated things?