Laman

Entangled Electrons' Spins Aren't Oscillating Betwixt Up-Down Too Down-Up

Two days ago, I largely missed a comment past times Kashyap Vasavada (although I did read together with respond to its followups):
KV: H5N1 to a greater extent than exact parallel volition be: As presently equally somebody sees Bertlmann's socks, Bertlmann rushes to the alter room together with randomly changes or does non alter socks. But he leaves the remaining people inward dubiety whether he has changed socks or not!!
Holy cow. The real go of the spider web log shipping service 2 days agone was to explicate why this parallel is completely wrong, non "more exact" i.e. why the spins together with sock colors are demonstrably not blinking inward the trend imagined past times Kashyap together with other Bellists. Nothing is "blinking" inward the illustration of the socks, nada is "blinking" inward the illustration of the spins, together with there's absolutely no departure betwixt the 2 situations when it comes to the absence of blinking. This was genuinely the principal quest – and, inward unopen to sense, the only quest – of the spider web log shipping service I wrote 2 days ago.

It's just unbelievable what sort of uncomplicated kindergarten explanations are apparently insufficient to brand for sure people empathise unopen to extremely simple points, fifty-fifty afterwards many repetitions together with reformulations etc. Kashyap must endure from unopen to severe encephalon defect.




It's similar when y'all attempt to learn add-on to a nipper who thinks that "2+2=22". After a real long news inward which y'all exploit all known together with many original ways to shed lite on add-on together with why "2+2=4" inward particular, this nipper volition say y'all – amongst quite unopen to arrogance inward its vox together with amongst 2 exclamation marks at the halt of the judgement – that the "more exact value is 2+2=22".

Could y'all rest calm? I can't. Can't the obnoxiously stupid nipper just encounter that his "improvement" isn't a cosmetic alter but something that totally changes the marrow of the answer – from right to wrong? Couldn't the obnoxious spoiled brat at to the lowest degree avoid pretending that he is improving things past times replacing "2+2=4" amongst "2+2=22"? You receive got just spent hours past times explaining the nipper why 2 addition 2 isn't equal to twenty-two together with y'all experience robbed when y'all encounter that it was a consummate waste matter of time.

I experience robbed whenever I encounter that I receive got completely wasted my fourth dimension when I tried to explicate things similar basics of quantum mechanics to people similar Kashyap. But I am nonetheless apparently unable to larn that lesson. At unopen to moment, I break a pedagogically cracking novel trend to introduce the logic so that fifty-fifty a mule must empathise it. But I acquire proven wrong all the time, i time to a greater extent than together with again. The stupidity of people similar Kashyap is so divergent that no finite improvement of one's explanations tin practise the job.




Cut the legs of Mr Bertlmann together with dissever them past times a lite year, just to go sure. Ask 2 people to brand measurements of the 2 socks at 2 spacetime points \(P_1,P_2\) amongst coordinates \(x_1^\mu\) together with \(x_2^\mu\), respectively. Regardless of the location together with timings, together with whether the moments are the same or not, y'all volition get\[

{\rm Color}_1(x_1^\mu) \neq {\rm Color}_2(x_2^\mu)

\] The perfect anticorrelation holds non alone when \(t_1=t_2\), at "equal times". It always holds. Just accept 5,000 nutty left-wing professors amongst the different-sock habits, amputate all their legs, together with brand the measurements of the colors at whatsoever moments, amongst whatsoever separation together with whatsoever delay. You volition ever acquire the perfect anticorrelation. It's but because the private colors are no longer changing i time the legs acquire separated from each other together with from the hands – because Mr Bertlmann's hands inward the vicinity of the feet were needed to alter the socks.

So Kashyap's supposition that it's plenty to guarantee \({\rm Color}_1={\rm Color}_2\) for \(t_1=t_2\) is just wrong. This weaker status would allow the "simultaneous blinking" of the socks from "red green" to "green red" or vice versa. But the weaker status is clearly non the whole story. The blinking may easily go ruled out past times verifying that the colors are perfectly anticorrelated regardless of the 2 times when the measurements accept place.

It's ultimately special relativity that bans this blinking. If "red green" were changed to "green red" at \(t=0\), at that spot would receive got to go an instantaneous signal that changes the colors at the "same moment" i.e. simultaneously. But such instantaneous – together with all superluminal – signals are prohibited past times relativity. H5N1 proof – an explanation of the job – involves a dissimilar inertial frame. While \(t_1=t_2\) inward the unprimed inertial system, nosotros receive got \(t'_1\neq t'_2\) inward most other systems due to the relativity of simultaneity.

So inward other inertial systems, the flip of the left sock's color would plow over earlier or afterwards the flip of the right sock's color, \(t'_1\neq t'_2\). So for unopen to interval of time, nosotros would receive got either "red red" or "green green". The perfect anticorrelation would go violated from the viewpoint of this primed inertial system. This observer could mensurate the colors simultaneously – inward his frame – together with he would acquire 2 identical colors, inward contradiction amongst the Bertlmann's predictions together with amongst experiments.

The private sock colors are but non blinking or oscillating. They are conserved. They are unknown earlier they are measured. But "unknown" is something else than "oscillating". H5N1 known business office of fourth dimension may go oscillating (non-constant); together with an unknown business office of fourth dimension may go constant (not oscillating).

When it comes to the being or absence of blinking, the illustration of the 2 electrons' spins is absolutely identical together with this real quest – aggressively disputed past times Kashyap, including excessive exclamation marks – was indeed the principal quest of my previous spider web log shipping service (and many others). The 2 private electrons' spins are conserved; they can't remotely communicate; their simultaneous flip at i minute of fourth dimension would go ill-defined because "one minute of time" depends on the inertial scheme piece the laws of physics don't depend on the inertial system.

Once a particle decays to 2 spin-1/2 fermions, the fermions' spins are associated amongst operators \(\vec J_1(t)\) together with \(\vec J_2(t)\). When the particles are freely moving through the space, their spins are conserved. So the Heisenberg equations of motion may but go integrated to\[

\vec J_1(t_1) = \vec J_1(t_1+\epsilon)

\] together with similarly for \(\vec J_2\). This but implies that the private spin polarizations such equally \(J_{1z}\) together with \(J_{2z}\) aren't changing or blinking at whatsoever moment. It doesn't thing when y'all mensurate either of them. You may verify this claim experimentally. The experimental verification is absolutely identical to the verification inward the illustration of the socks – together with it has the same results. That's why our certainty that there's no blinking is exactly equally rigid inward the illustration of the 2 spins equally it is inward the illustration of the 2 socks.

The alone trend to brand \(J_{1z}(t_1)\) dissimilar from \(J_{1z}(t_1+\epsilon)\) is to brand the spin interact – touching on – unopen to other object inward between, e.g. at the minute \(t_1+\epsilon/2\). For example, nosotros may mensurate \(J_{1x}(t_1+\epsilon/2)\). By this measurement, nosotros select the spin to an eigenstate of \(J_{1x}\). And because \(J_{1x}\) doesn't commute amongst \(J_{1z}\), nosotros alter the predictions for hereafter measurements of \(J_{1z}\) (to 50%-50% for up-down).

From the viewpoint of the observer who makes this criterion of \(J_{1x}(t_1+\epsilon/2)\), the state of the spin changes because measurements alter the spin. From the viewpoint of a 3rd party, this criterion is unopen to procedure involving other physical systems. The Hamiltonian \(H(t)\) is to a greater extent than complicated together with contains the "interaction Hamiltonian" betwixt the spin together with the criterion apparatus. And because of this interaction Hamiltonian, it is no longer truthful that \[

[H(t'), J_{1z}(t')]=0.

\] for times \(t'\) betwixt \(t_1\) together with \(t_1+\epsilon\). So the private spin vector isn't conserved during the criterion – either because measurements get a collapse (the viewpoint of the immediate observer); or because measurements require the interactions amongst other objects (the viewpoint of unopen to other external observer).

But equally long equally at that spot is no criterion of the private spins, \(\vec J_1(t)\) together with \(\vec J_2(t)\) rest independent of fourth dimension \(t\). The specification of the fourth dimension \(t\) is irrelevant – equally long equally nosotros empathise that nosotros hateful unopen to minute after the entangled distich is created. We tin hence omit the characters \((t)\) if nosotros know that each private spin volition alone go measured once.

When nosotros mensurate \(J_{1z}\) together with \(J_{2z}\), nosotros volition acquire perfectly anticorrelated results. But equally proven past times directly experiments or past times relativity, at that spot couldn't receive got been whatsoever blinking values of the 2 spins, jumping betwixt the discrete choices "up down" together with "down up". Instead, when nosotros mensurate these 2 \(z\)-components of the spin together with acquire unopen to results, nosotros should translate the results equally unopen to truth that already existed earlier the measurements – from the real minute when the entangled distich was created.

The entangled distich was created together with the values of \(J_{1z}\) together with \(J_{2z}\) were at nowadays known to go anticorrelated but their private values weren't known. Once nosotros mensurate these values, nosotros may say that these values, piece unknown, were truthful for the whole time. For example, nosotros may assume that the state \(\ket{\uparrow\downarrow}\) was at that spot already earlier the measurement, since the nascence of the entangled pair.

This supposition well-nigh the state would atomic number 82 to wrong predictions for the coordinated measurements of \(J_{1x}\) together with \(J_{2x}\): all iv arrangements would receive got the probability of 25%. So indeed, nosotros are non allowed to cry upwardly that the scheme was inward the eigenstate of \(J_{1z}\) together with \(J_{2z}\) if nonetheless receive got the liberty to mensurate something else that doesn't commute amongst these \(z\)-components, e.g. \(J_{1x}\) together with \(J_{2x}\). But i time nosotros know what nosotros measured (or i time nosotros are decided together with guaranteed what nosotros volition measure), it is OK to assume that the physical scheme is inward an unknown eigenstate of the measured observables, fifty-fifty earlier the observation.

If nosotros alter our remove heed inward the final minute together with mensurate \(J_{1x}\) together with \(J_{2x}\) instead, nosotros may together with then reinterpret the past times differently together with say that the particle distich was inward this eigenstate of these 2 operators, e.g. \(\ket{\leftarrow\rightarrow}\), fifty-fifty earlier the observation. This is clearly a dissimilar reconstruction of the pre-measurement past times than whatsoever reconstruction nosotros tin become far the the world inward which nosotros mensurate \(J_{1z}\) together with \(J_{2z}\). But this inequivalence of the reconstructions isn't a contradiction of whatsoever sort.

It's but an illustration of Bohr's regulation of complementarity. The physical scheme – 2 particles amongst spins, inward this illustration – may go probed inward many dissimilar ways together with a universal description of the "state of the system" together with a "classical reconstruction" that would go cook for all kinds of measurements that tin go made doesn't exist. And it doesn't require to be because it isn't possible to alive inward a Universe where both \(J_{1x}\) together with \(J_{1z}\) are the starting fourth dimension measured quantity. And when i measures i of them, the predictions for the 2nd criterion acquire changed.

Murray Gell-Mann together with others similar to explicate this "freedom to reconstruct the past times differently, depending on what nosotros measured" equally the "decoupling of dissimilar branches of the history". It's "cute" when these would-be Everettian ideas are presented equally unopen to insights showing limitations of Niels Bohr's agreement of quantum mechanics. Why? Because when formulated carefully together with correctly, these ideas attributed to Hugh Everett are genuinely nada else than what the founders of quantum mechanics receive got ever called the Bohr's regulation of complementarity.

The real fact that this term – Bohr's complementarity – has largely disappeared from textbooks together with courses shows the influence of the anti-quantum religious sect. At the end, this regulation is necessary for a right agreement of quantum mechanics, anyway. Bohr has but realized that physical systems may go probed inward diverse ways together with there's no trend to reconcile the description of the physical scheme resulting from these dissimilar ways into i "master description". It's non necessary because these dissimilar ways can't be simultaneously inward i history of the Universe. This is what Bohr's regulation of complementarity means. So inward the best case, people receive got to reinvent it together with reword it, inward price of "Everettian branches" together with similar constructions. Everything that makes feel well-nigh these constructions was invented past times Niels Bohr together with pals; everything that is novel is unphysical gibberish.

I cry upwardly that I receive got made a to a greater extent than full general observation well-nigh the psychology of these deluded people. One self-fooling fox that makes people similar Kashyap stick to their absolute misunderstandings of quantum mechanics – together with many other issues – is that they believe or desire to believe that i time their ideas are proven wrong, they may just alter the names of several concepts inward these ideas together with this resuscitates the ideas.

So y'all encounter it all the time. It already looks similar they receive got understood what they were doing absolutely incorrectly. But they alter unopen to news to a synonym together with cry upwardly that "now they receive got the right novel theory together with explanation how it works". It's just the same wrong rubbish they were maxim previously, just amongst slightly changed words, but they believe that the slight modification of the terminology is plenty to resuscitate wrong ideas together with brand them correct.

The wrong nonlocal "explanation" of the correlation betwixt the 2 spins' polarizations has ever clearly involved unopen to "forced alter of the other spin" i time the starting fourth dimension spin is measured. Kashyap uses the words "rushes... together with randomly changes" together with he believes that at nowadays it's cracking together with this is his "more exact parallel". But it's nonetheless exactly the same wrong claim well-nigh the nonlocal influence behind the correlations. Can't he encounter it? Can't he encounter that it is nonetheless just the same error for which I receive got considered him an idiot before?

And these "subtle rewordings" that plainly don't alter anything well-nigh the marrow seem to go omnipresent.

Another widespread illustration inward these discussions is the totally bogus "discrimination" of the words "signalling" together with "influence". For example, Lawrence Crowell wrote:
I receive got non understood Lubos Motl's claims against nonlocality. He seems to equate nonlocality amongst signalling or unopen to superluminal influence. Of course of written report nosotros know that no data or qubits go on spacelike intervals...
I seem to equate nonlocality amongst nonlocal signalling together with superluminal influence because I practise equate nonlocality amongst nonlocal signalling together with superluminal influence. And I practise equate them because they're the real same thing.

How could they go different? Special relativity plainly prohibits superluminal influences together with signals together with everything else of this sort. If a signal is sent from the spacetime quest P to the quest Q, together with then something at the quest P has influenced something at the quest Q. Information influences things. So a signal is plainly a special form of an influence.

On the other hand, if nosotros receive got an influence that is non used to shipping signals, nosotros may ever use it to shipping signals. For example, nosotros may break a dark box that is influenced past times unopen to other dark box through unopen to electromagnetic influences. We may realize that this could go useful. Once nosotros start to work these dark boxes, somebody may say us that nosotros constitute 2 Wi-Fi routers on the sidewalk. Every damn influence may go exploited to shipping signals. It's just well-nigh our subjective practical evaluation of the phenomena – but the marrow is the same.

Special relativity plainly prohibits this superluminal activeness whether nosotros telephone yell upwardly it "signals", "influence", or anything else.

People similar Crowell say us that "they plainly know that no data travels superluminally but...". They say such things because they sort of realize that whoever fails to empathise that signals can't go sent superluminally is a hopeless crank. But they add together a "but" together with if y'all read the judgement next this "but", it genuinely says: "But the superluminal influences are possible together with omnipresent, anyway."

Well, they're not. They're equally strictly forbidden equally superluminal signals because they're just the same thing. Whenever unopen to data is sent somewhere, it is sent through influences. So Crowell together with Kashyap are similar the obnoxiously arrogant yet stupid nipper who tries to print others so it says something similar "Everyone knows that 2+2 isn't twenty-two but the evil tutor doesn't seem to distinguish 22 together with twenty-two together with he completely fails to encounter that 2+2=22." Well, no, crackpots, 2+2 is neither 22 nor twenty-two. And both superluminal influences together with superluminal signals are prohibited past times relativity together with this ban is just equally rigid inward quantum mechanics equally it was inward classical physics.

People participating inward these discussions oftentimes similar to propose that they believe that they're discussing the deepest things inward the Universe together with they're real smart. But when I hold off at most of these discussions, they hold off similar attempts to tutor totally retarded kids. Kids who are arrogant spoiled brats at the same moment.

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