Periodicity is a Human Construct
Periodicity is not a property of nature in anyway, shape, or form.
Stated another way:
Any process that appears to be periodic is only approximately periodic.
The perception that periodicity is a property of natural processes is reinforced by its presentation in most science textbooks in the earlier levels of our educational system. This is sad, in that, most take this notion as a truism and never examine it further much to their detriment. In fact it could be thought of as a corollary to, "the unexamined life is not worth living" comment by Socrates.
We are "wired" to perceive periodicities this is analogous to the visual phenomenon of Pareidolia. An interesting question is, "How did we develop such a strong tendency toward this type of thinking strategy?"
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Comments
Maybe because
so much of nature is built on fractals and other iterated function? Just guessing here.
There is no such thing as TMI. It can always be held in reserve for extortion.
Actually
We impose an artificial construct upon our observations. We know that the rotation of the Earth does not produce a periodic repetition of noons even as we construct clocks to construct our schedules to suggest that is a reality. The Earth's year varies but by such a small amount that we don't usually care.
The examples are limitless, and we as an educated society don't care to think about such things.
Sorry, fractals and other iterated functions are just human constructs.
I am probably missing the point here
but here goes:
Day, year = not a human construct
second, minute, hour, week, month = human construct
Decade, century, millenia = hybrid
“To learn who rules over you, simply find out who you are not allowed to criticize.” -Voltaire
They are not periodic
A day, year, etcetera are not periodic as conceived by us.
Frequency of wavelenghth
is invariable within a pure material and reference frame.
There is no such thing as TMI. It can always be held in reserve for extortion.
Now pure?
Under the best of circumstances, from an experimental point of view, periodicity in a pure material is a good approximation for several thousand atoms. Much beyond that and "defects" spoil the modeling.
Even free space suffers distortions due to mass concentrations.
My original observation is trivial in that the real world does not conform to our mathematical models. Said another way: All our models are approximations, but our students far too often do not fully appreciate implication of same. As a result I know far too many with STEM degrees that actually think their discipline is somehow more pure, or correct, or correct, or something than say philosophy, history, or some other non-stem discipline.
Sounds like you're saying
periodicity is pure though our manufacturing and measuring suck.
If the suck hypothesis is true, then neither periodicity or non-periodicity can be proven.
There is no such thing as TMI. It can always be held in reserve for extortion.
Almost True
I think my words are not saying what I think they are saying.
We construct models that make sense to us. But what makes sense to us is a result of our conditioning and the mental equipment we have that is the result of our evolutionary past. The notion of periodicity is a human (read classically) defined concept. It is a mathematical fiction that works good enough so we keep using it even though we always, in every real case, allow for the approximation that it is.
It's like the fiction that the gravitational force is a 1/r2 force. We know that that is not true in detail, but it is close enough for most situations.
Most importantly, this discussion, for my part, is not about "our manufacturing and measuring suck" or anything remotely connected with experimentalism or whatever. While many think science is about practical "what can I do and/or build" utilitarianism grounded in experiment, it is really about how do we understand reality.
It is important to understand that our mental constructs may interfere with our understanding of reality if we do not grok the limitations imposed by our biological history. And, while we us experiments as arbitrators of "what is" we must develop an understanding the supersedes the results we can produce in the laboratory.
If we are unable to do this in the "hard sciences" how can we ever expect to have a conversation in an issue oriented environment such as that at c99%?
Poincare agrees:
The current working assumption appears to be that our Shroedinger's Cat system is still alive. But what if we all suspect it's not, and the real problem is we just can't bring ourselves to open the box?
Ah! Poincare
and my favorite, heavily paraphrased of course : A collection of facts do not a science make.