The stronger becomes master of the weaker, in so far as the latter cannot assert its degree of independence — here there is no mercy, no forbearance, even less a respect for “laws.”
Friedrich Nietzsche
All the Secrets of the Universe and Some Really Important Stuff Too!
The stronger becomes master of the weaker, in so far as the latter cannot assert its degree of independence — here there is no mercy, no forbearance, even less a respect for “laws.”
Friedrich Nietzsche
Here’s kitten Lorie on the back of my office chair on which she has inflicted hundreds of puncture wounds.
She doesn’t have the guilty look to be expected from such a miscreant.
Update:
Master Diver commented:
My office chair has suffered similar indignities from Queen-Empress Piper and Ladies Florence and Cuddles.
Well, I enjoyed yesterday’s outing so much I thought I’d have another go at solving the world’s problems on Uncle Sam’s dime. Here are some more projects to keep me off the streets and make the world a better place:
Okay so that’s enough for now.
I wish them the only thing that can prove today whether one is worth anything or not — that one endures.
Friedrich Nietzsche
My recent thought experiment to determine whether the geometry of our universe is Euclidean or not has inspired me to get involved in the upcoming Trump Administration. Just as Trump has farmed out budget cutting to DOGE, I would like to volunteer (well not for free though) my services to perform research that is woefully needed by the United States government. I haven’t come up with a snappy acronym for my team but I’m working on it.
Here is a non-exhaustive list of some of the projects I’d like to tackle for Uncle Sam.
Is called a woman, things are not going to go well. What I propose to do is convene a panel of experts. I will use the most credentialed individuals available. I will include married men, wedding planners, hairdressers, script writers from the Hallmark Channel, employees at grocery and clothing stores and shoe salesmen. In addition, I’ll recruit a fair cross-section of guys found habitually at strip joints from across this great land. Between them all we will work long and hard to come up with a consensus definition and if necessary, a list of qualifying and disqualifying “conditions.” I’m sure the team will have a contentious and spirited discussion about everything from terminology to visual aids but we’ll make sure that the exhibit shown above or anything like it is never mistaken for a woman again.
So that will be a start. Eventually we’ll expand out and solve all the problems of the multiverse. But I will charge time and a half on weekends. After all I’m only human.
And nothing on earth consumes a man more quickly than the passion of resentment.
Friedrich Nietzsche
I was reading a chapter in a mathematical survey that I bought a long time ago (Mathematics: Its Content, Methods and Meaning by A. D. Aleksandrov, A. N. Kolmogorov, M. A. Lavrent’ev). It was a section in the non-Euclidean Geometry chapter called something like “Real Space.”
The author was trying to make the point that since gravity bends light and light rays were the closest thing to perfect straight lines that you could claim that parallel lines can intersect and triangles can have more or less than 180 degrees in real space. And to get away from the idea of straight lines in empty space (no matter present) he said that the concept of space only exists in the context of it containing matter.
And I stopped to think whether that seemed to follow. I never usually question the meaning of empty. My basic visualization of reality is that the universe is the void of the Bible augmented by really small golf balls bouncing around in it. Empty space to me is wherever there aren’t any golf balls at that moment. Now granted, I’ve heard that particles are always appearing into and disappearing out of existence in the “quantum vacuum.” And I know that many physicists characterize the universe as just a bunch of “fields” of the various elementary particles; the electron field and the Higgs field, etc. But I don’t understand why we can’t imagine empty space. I mean I know that at any time a quark or a gluon or some other ephemeral exotic particle can show up anywhere but why is it so hard to say. “Right now, right here is empty space because nothing is there.”
I guess I’ll have to read more deeply. After all, if the empty space between galaxies (and everything else) is always and ever more rapidly expanding as the universe itself inflates at an accelerating rate, it seems logical to me that there’s more and more “empty space” everywhere.
And so, I propose the following thought experiment:
I posit that using the James Webb Space Telescope, we find a spot in the sky where there aren’t even any really, really old galaxies hanging out. There’s nothing along that line of sight. I then take two flashlights (or “lasers” if anyone insists) and using a protractor and some really straight two by fours I line them up parallel to each other in the direction of that cosmic empty spot and turn them on. Why wouldn’t those two beams continue on to the end of the universe exactly the same distance apart? Now, sure, a few photons here and there might be deflected by a some randomly situated gas molecules or by the odd quantum vacuum quark that appeared for a femtosecond along the line of sight but for the most part the laser beams should continue on forever and ever, amen.
So, if that is the case. What’s the problem with imagining empty space (mostly) with my two flashlight (or laser) beams going out and out and out forever? And forever parallel. After all there’s nothing close enough to really bend those light beams. Now to prove this result there will need to be someone on the other end of the universe to do the measurement. This presents something of a problem. However, there may be a solution (well, a thought solution anyway). It’s a well-known part of the Big Bang Theory that there should be equal amounts of matter and anti-matter in the universe. But here we are with basically none to be found. I theorize that at the end of the universe is the anti-matter we’ve been looking for (just like those ‘droids). Granting this, then there should be an anti-matter me at the end of the universe. Let’s call him anti-photog. Now assuming he’s extremely long-lived (which anti-matter life forms always are) and that he thinks precisely as I do, he’ll be waiting for those two beams of light and he will measure the angle between the beams and find them to be parallel and thereby prove the Euclidean (or in his case anti-Euclidean nature of empty space. Then he can send a return beam back in our direction (somehow) and we will have the answer. Of course, the sun and probably the Milky Way Galaxy will have long ago been absorbed by the local super massive black hole and cosmic lichens will possibly be the only form of life remaining but that’s how science works sometimes. You have to take the good with the bad.
So, Lobachevsky, Gauss, Riemann and all you other “non-Euclidean” geometricians (I’m looking at you A. D. Aleksandrov, A. N. Kolmogorov and M. A. Lavrent’ev!) shouldn’t put too much stock in all this curved space hand-waving. Until the results of this wonderful research of mine are available, they should sit tight. Estimates for the return trip signal are still being calculated but I’m sure it won’t be too bad. I’ll be starting my crowdfunding page to buy the lasers and the two by fours very soon. I’ve still got my third-grade protractor somewhere around here so I don’t need that. I can’t wait to get started!
Update:
I asked an AI image generator to reproduce my thought experiment rig
It came up with this!
This may take a while.