exchemist

Your quote from Tetrode has nothing to do with entanglement. This was an early (1922) speculation about excited states of atoms, not electrons. (Don't try to tell us Tetrode did not understand the difference, as you did earlier.) The idea of entanglement only came into existence in 1935, a decade after the initial development of quantum mechanics, which really started in 1925 with Schrödinger's equation and Heisenberg's matrix mechanics. Your attempt to apply this quotation to entanglement looks both anachronistic and inappropriate.

I remember having to learn "une longue serviette éponge" at school in the 1960s, for a vocabulary test, which my parents thought hilariously pointless. It was only decades later, staying at a pretty rough little wayside hotel in Normandy with my French wife, that I realised the significance of this phrase for Englishmen travelling in France. The bathroom in this place provided towels that were like dishcloths: thin, small things that got wet quickly and didn't really allow you to dry yourself. My wife told me this was what towels were like in France back in the 60s.

If you have taken in what @Markus Hanke was saying, shouldn’t you be asking yourself what an angle of infinity could possibly mean?

Are you sure? I thought arctanh (1) was ∞.

I've tracked down the alleged quotation from Tesla now, on Wikiquote: "Disputed If you want to find the secrets of the universe, think in terms of energy, frequency and vibration. My brain is only a receiver, in the Universe there is a core from which we obtain knowledge, strength and inspiration. I have not penetrated into the secrets of this core, but I know that it exists. First attribution is to Ralph Bergstresser who claims to have heard this from Tesla in a conversation "following an experience with the Maharaja's son"[1]." So it seems the supposed quote is just hearsay. And the supposed Einstein one is indeed most definitely bullshit, just as I thought: https://quoteinvestigator.com/2012/05/16/everything-energy/. Furthermore, again as I suspected, it comes from some New Agey ballocks that some charlatan* has tried to retrofit to Einstein. * Appropriately called Darryl Anka. (One feels there is a leading W missing.😆)

Could be. But it was my personal experience of vignette ads, on this and other sites, (plus the terrible, jumping ads on the Independent newspaper site) that finally convinced me to install an ad blocker. So vignette ads have ended up greatly decreasing the number of ads I see. I will be just one of millions, forced by the increasing intrusiveness of ads into taking countermeasures. So it is indeed a vicious circle.

I'm with you on this. I do feel the only way to put a stop to this march of enshittification is if websites start resisting the more intrusive type of advertising gimmick, when it really impacts the use of the site. I found this from Google, https://support.google.com/adsense/answer/13992041?hl=en , which suggests the frequency - and indeed whether or not these sodding vignette things are enabled at all - may be at the website owner's discretion. This link : https://www.webnots.com/how-to-increase-adsense-revenue-with-vignette-ads/ also suggests it is up to the website what ad formats it enables. If that is true, then I think we should definitely suggest to the owner of this site that they militate against use of the website and will diminish site traffic in the long run. I note that earlier this year we did ask for vignette ads to be stopped - and they were stopped, for a while. But then, mysteriously, they came back. It starts to look as if the site owners have decided to inflict them on users after all, in spite of our request to get rid of them. I also found this rather amusing, pope-discovered-to-be-Catholic-shock-horror piece from an ad agency on the topic: https://www.adsbyana.com/blog/ad-fatigue-vs-ad-blockers-are-consumers-fighting-back. Basically, for all their mealy-mouthed platitudes about user "engagement" and tailoring to supposed "preferences" (which I suppose means avoiding triggering the most violent of users' Pavlovian avoidance reflexes), users hate ads and will do everything in their power to shut them out. What is interesting is they seem to think the upsurge in use of adblockers is partly what has led to the increase in frequency and deployment of more intrusive and disruptive ways to present ads, as the advertisers desperately try to keep up the ad-eyeball interaction count, in spite of users' best efforts to stop them. The article tries - to my mind somewhat unconvincingly - to suggest ways to break out of this vicious circle.

The first quote is total nonsense, so it can't possibly have been said by Einstein. It sounds much more like the words of some charlatan like Deepak Chopra. Tesla was a bit off his rocker towards the end so (which is why he a favourite of cranks) so there's no telling what he might have said. From your previous posts, you seem to have a thing about "energy" and "vibration", I notice. This is usually a sign of a crank, peddling pseudoscience. I'd stop that, if I were you. Energy is a property of a physical system. It is not "stuff" that exists on its own, any more than momentum, mass or electric charge is. Vibration, or its quantum-mechanical counterpart, is certainly present in a lot of systems in nature, but by no means in all.

It has already been pointed out that no action is involved, and no energy exchange.

Surely what this sub-thread is about is a (dubious) assertion about communication, or action, taking place between entangled entities that are spatially separated. But a pair of electrons sharing a molecular orbital are not spatially separated, so there is no observational implication from them being entangled.

Nope, it still seems rather nonsensical, to be honest. You are dealing with neither the point I made, about life being impossible at the high temperatures of the early universe, nor the other point about life merely releasing low temperature waste heat, converted from the stored chemical energy in nutrients and from high temperature energy absorbed from the radiation from the sun - and similar stars in other solar systems. There is no reason to think that life contributes greatly to the rundown of energy , i.e. the increase in entropy, of the universe, when there are so many other large-scale inorganic processes that already do that. So I can’t at the moment see how your idea can get off the ground.

But none of this is relevant to a pair of electrons in the same orbital, which is what we were talking about. For a start they have the same energy. And swapping states would in such a case imply swapping spin orientations, since that is the only difference between their states. As this, if it were to occur, would have no observable consequences, it seems to me to be an example of what Pauli described, in another context, as an "uncashable cheque", i.e. a notion that can be disregarded on the principle of Ockham's Razor. P.S. Tetrode is someone I've only previously come across from a thing I dimly recall from Stat. TD, called the Sackur-Tetrode equation. The only reason I remember the name at all is because I thought at the time what a curse it must have been to be named after a thermionic valve. 😁

I can’t make sense of this, I’m afraid.

They can't share the same quantum state because they are fermions (Pauli Exclusion Principle). They have 3 quantum numbers that are the same, which are the 3 that define what we call in chemistry an orbital. But the 4th is the spin orientation quantum number and that is opposite sign for the two. So they don't have the same wave function in full, if you include spin. I've never heard of them swapping states. Where do you get that from?

MR would get the bum’s rush in pretty short order here.

What is the quantum eternity theorem?

Does it? I suppose in the case of a 2 electron bond it typically involves 2 electrons sharing a molecular orbital but with opposed spin orientations. We have no way of knowing which is which, nor does it have any significance.

Oh I see him as the gopher* in Deputy Dawg, catchphrase:”What happened, what happened?”. *Full name: Vincent van Gopher, but shortened to “Vince”, pronounced “Vayernce” in the Deep South US accent of the characters.

Haven't you got your chronology back to front, though? The Big Bang preceded the development of life by billions of years. You would need a time machine for life to go back and cause it! And then consider: life requires complex biochemical molecules. These molecules require (i) a range of elements to be present and (ii) a temperature regime below ~350K, so that their complex structure is not disrupted by thermal motion. After the Big Bang, it took a while before any chemical elements at all were formed, and when they were, there was initially only H, He and a bit of Li. All the heavier elements were formed later, by nuclear fusion in stars. Also, initial temperatures after the Big Bang were very high. It was only after a considerable degree of expansion had taken place that cool enough locations developed in which complex molecules could remain stable.

Oh sure, a lot of people in Europe have compared Trump to Mussolini for quite a few years. In fact some of us even compared the UK's "Mini Me" version, Boris Johnson, to Mussolini as well, though he was never in Trump's league of course. Trump is behaving like a copybook dictator taking over a democracy: going for the justice system, the electoral system and the media. But El Douche makes him sound like a S American dictator rather than Italian - which is better in a way as S America has had more than its share of fly-by-night, tinpot dictators. Anyway, it's a very apposite nickname.

I very much like “El Douche”, combining as it does the sinister with the contemptible. Is this a thing now in the US, or have you just invented it?

This seems a fairly ridiculous question. How are we supposed to know what you may find interesting as an essay topic?

And the Leaning Tower of Pizza is what you get when your Deliveroo courier stacks them too high.

No, that paper is behind a paywall, so not acceptable here. Kindly explain how you overcome the objection we are raising, here on the forum, in your own words, with reference to the diagram posted by @John Cuthber.

Which theory are you talking about? Newton’s, or Einstein’s? Or both, perhaps, if you are a Flat Earther? 🤪