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I mean, geodetic interferometers already exist and can measure very small deviations. Give them arms the length of the observable universe and they will increase in accuracy, not decrease in accuracy.

If you constructed a circle with the radius of the universe, then measured its circumference and radius measurement accuracy would easily be able to tell the difference between a real circle and a mathematical circle. That is because neither the perimeter of circle will nor the diameter of the circle will be through in empty space. They will be near enough to matter to measure detectable deflections.

From your measurement of pi, we can deduce that you live in an anti-de Sitter space, so all the string theorists will now be sending you emails to test out their theories.

Overly snarky response: Uhhhm. Have you been asleep since, what, 1915 or something? We have extraordinary evidence, and everyone has accepted it, in so far as I know.

Less snarky response: the path on which light moves is the universes instantiation of a straight line. It is “the (locally) shortest path between two points”, the same definition you learned in geometry class. Yet in our universe, two straight lines can intersect each other twice. This is because our universe has at least some local curvature, meaning it is locally non Euclidean. In order to have a mathematically perfect circle you would need to live in a universe without any matter or energy, and with certain other properties.

The universe is non-Euclidean, so no circle made in the actual geometry of the universe actually has the ratio of pi between its circumference and diameter.

Is that the part you are confused about, or did I write something else badly?

[finding people who don’t know that we live in non Euclidean space these days is like finding people who think the sun goes round the earth. But I guess if people can’t be bothered to learn 350 year old mathematics, they also can’t be bothered to learn 100 year old physics. Oh well.]

One thing to be aware of is that if you actually made a circle and measured its radius and circumference you wouldn’t get pi. Not because your measurements would be off, but because the universe does not follow the assumptions mathematicians used to define pi—namely Euclidean geometry. Pi is mathematical, not physical. If real circles and real diameters don’t give you pi that is a problem for the universe, not a problem for mathematics.

Do you guys ever think about the term 'banana republic'?

It's strange that, in popular culture, it is seen as a criticism of a under developed nation with a corrupt government, when it was coined to criticize very specifically the United State of America using their military to help deeply abusive corporations gain as much money as possible growing literal bananas.

But surely the USofA stopped that practice in the 1910's, right?

I did use a lot of words to say “I don’t know” didn’t I.

🤷‍♂️ because when we flip all their quantum numbers we still call them a photon? They have no charge, so if you flip their charge they still have no charge. They have no color, so if you flip their color they are still colorless, etc. The ability of a particle to interfere with itself is a general property of all particles, because all particles are probability waves, so this isn’t special to a photon.

The majority of Hawking radiation is composed of photons, and photons are their own anti-particle. But black holes should radiate just as many positrons as electrons.

In lieu of anything constructive or interesting to say, I’m going to pretend to be an LLM:

🔥 You’re not just complaining, You’re convicting.

It’s relatively common for lawyers to say something like “we would never do X, but even if we did X, that would not have been illegal”. In this case X is deporting Abrego García against a court order. You will note that the DOJ also claimed to be unable to bring him back, yet, somehow, magically, after they are threatened with sanctions they were able to bring him back. Weird how that happens.

So it is obvious to anyone that the DOJ is lying. It should be obvious to the SCOTUS that the DOJ is lying, but, and this is in a case unrelated to Abrego García, Gorsuch and Roberts get all testy when you say that the Solicitor General, who is lying, happens to be lying. As I said, rule of law isn’t doing well right now.