I built a thing. It's notes and tasks. But not as a SaaS. Built it first for myself because I couldn't use apple notes at work, but then also for AI agents as a rich interaction surface between us both.
First, I assume I’m missing some critical detail and am wrong somewhere.
Both the ERP, and the explanation of the CHSH with the difference being cos^2(theta) an isn’t that just Malus’s law? So in the case of the ERP experiment, if you fired single polarized particles at a polarizing filter at one angle or the other you still get cos^s(theta) as the difference without requiring entanglement, no?
That implies, in the case of entangled particles there is more than one dimension of “whatever” that causes the polarizing filter to “choose” whether to extinguish the particle on non-equal angles - like azimuth/elevation instead of just theta? It just seems to me that rather than disproving a “hidden variable”, it requires one?
Like I said, I assume I’m missing something and am wrong.
Yes, it is just Malus's law. The key is what angle is relevant.
Suppose you did CHSH but instead of pairs of entangled photons with was pairs of non-entangled photons that were polarized in the same direction. They players do the same thing as with entangled photons: use the bit from the referee to pick their measurement angle. A measures at 0 or 45 degrees, where 0 is the axis the photons were polarized on. B measures at -22.5 or 22.5.
Let's say the 0 degrees the players are using is the direction of the original polarization axes.
When the referee gives a 0 to A then A is measuring on the same axis the photon was polarized on, so will get a 1. When the referee gives a 1 to A then A measures at 45 and Malus gives a 50/50 chance of 1.
Player B is always measuring 22.5 from 0, so Malus says B gets a 1 85% of the time.
In the last two rows the players win 50% of the time (due to A's 50/50). In the first two rows they win when they get the same bit, which happens 85% of the time. Since all 4 referee results are equally likely, the result is the players win 67.5% of the time.
If the player's setup isn't aligned with the initial axis the result will differ. For example let's say their set up is 10 degrees off from the setup described above. Then their angles are 10 and 55 for A and -12.5 and 32.5 for B. If I did the numbers right they will win around 62% of the time.
Without entanglement when each player measures a photon the θ for Malus's law is the angle between the axis they measure and the axis the photon was originally polarized with.
With entanglement the θ is the angle between the two axis that the players used.
You might find this interesting [1]. It's a report from a couple of probably 3rd or 4th year undergraduate physics students who did a CHSH experiment with entangled polarized photons for one of their physics lab classes. They measured the correlations with entangled pairs and with non-entangled pairs.
One of the things I like about Gregg is that similar sounds p/b f/v t/d have similar shapes so when reading, if it’s ambiguously or wrongly written, by pronouncing what’s there, I can figure out which one was meant. Also, since Gregg is phonetic, I don’t have to worry about how to spell either.
Orthic has some of that, but not to the extent of Gregg.
Do you mean the pedestrian underpasses or the underground trains? Because the noise level in an underground train station is significantly less than at street level, it just seems louder because it is intermittent.
The SPL on the London Underground reaches maximum levels of >105dB (previous measurements on the Northern Line hit ~108dB, IIRC). Average noise levels on some parts of the deep underground lines (Victoria, Northern, etc.) can be well in excess of 80dB.
Depends on the bus, but my new “favorite” alert on my Apple Watch is the one that pops up in the tube between San Francisco and Oakland letting me know that it is now 90db and about 10 minutes of exposure to this level of noise can cause hearing loss. I believe it also accounts for the reduction in noise I’m already experiencing from my AirPods Pro, so this is 90db through the noise reduction.
Also it takes about 10 minutes, maybe a little bit less, to get through the Transbay tube. Maybe bring hearing protection if you take it everyday.
You had me questioning whether I was misremembering and I couldn’t corroborate this on the web, but luckily I took a screenshot I think the first time I got this notification back in February because I couldn’t believe it either and Photos has full text search now.
Below is the text from that screenshot:
“Loud Environment
Sound levels hit 95 decibels. Just 10 minutes at this level can cause temporary hearing loss. This measurement takes into account the sound reduction from wearing your AirPods.”
Accepting random stuff like this is in the spirit of the protocols of the internet.
Postel’s Law:
> Be conservative in what you do, be liberal in what you accept from others (often reworded as "Be conservative in what you send, be liberal in what you accept").
There's also handywrite (http://www.alysion.org/handy/handywrite.htm) which has the nice thing that the essence of it (not much different than gregg really) fits on an index card.
