Tuesday, June 08, 2021

Wheels within Wheels - 08 June 2021 - Plague Journal Day 453

Micah 6:8
Ezekiel 1:15-21  Psalm 104:25-27
Yes, your life matters.

We all are still sheltering in place, but I'm here to keep you sane and entertained.
One could hardly ask for much more than that, now could one?

On this date in history – 08 June 452 – Italy was invaded by Attila the Hun.
I just thought you'd like to know.

I can't find a clip of the great song sung by Donald Hollinger anywhere, so just enjoy this bit of non-Attila nostalgia instead.

Today is World Oceans Day. I'm going to use that as a segue to what I wanted to post about:
Fourier series. After all, they're both all about waves, right?
 

OK, that's not what got me thinking about Fourier series, but I don't really know what it was that did.
I was really thinking about how earlier astronomers worked so hard to model orbits using "cycles and epi-cycles" to describe the motion of the planet as they observed it, as opposed to the perfect circles they expected.

Well, it seems to me they were doing the same thing that our modern physicists do with Fourier series - adding periodic functions to match observation - but (as with those earlier astronomers) without really understanding what's going on. Just as Kepler found the orbits were eliptical rather than circular, one has to wonder if we'll find the real equations we're after are some other generalization of all these piles of wave functions rather than a huge stack of slightly different ones.
I, for one, expect that will turn out to be the case. Mark my words - there's a breakthrough coming, and no one knows quite what it is yet.
You read it here first!

Check out the descriptions of the two concepts at this scholarly site to see what I mean:
https://en.wikipedia.org/wiki/Fourier_series
https://en.wikipedia.org/wiki/Deferent_and_epicycle

Keep Calm and Stay Away.
I'll be back tomorrow.
The mental health issues related to our lockdown and the pandemic are especially hard for people with depression. NAMI, the National Alliance on Mental Illness, has a 24 hour helpline: 800-950-6264.

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