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00:46
jeez who wrote young sheldon
it's so cringe I can't bear to watch it :P sometimes shows up on my feed
maybe it is good outside of the short clips I see idk
01:37
@SirCumference dude i kept writing this all day today on accident
it was strange
for some reason h bar is just satisfying to write
 
6 hours later…
07:42
Physics is hard, string theory is hard
07:55
hi
his approach to physics is extremely spiritual in nature. i had never seen a physicist like him
he is John Hagelin. he does superstring theory, unified field theory and consciousness research
John Samuel Hagelin (born June 9, 1954) is the leader of the Transcendental Meditation (TM) movement in the United States. He is president of Maharishi International University (MIU) in Fairfield, Iowa, and honorary chair of its board of trustees. The university was established in 1973 by the TM movement's founder, Maharishi Mahesh Yogi, to deliver a "consciousness-based education". Hagelin graduated with a Ph.D., in physics, in 1981, from Harvard University, and did several months of post-doctoral research at CERN, before moving to do further post-doctoral work at the SLAC. In 1984, he became...
yes.. that's him! His face and style reminds me of Von Neumann
he is extremely calm in any talk u see of him
I like the fact that he is a proponent of meditation, string theory and David Lynch, however this consciousness unified field stuff looks like the worst kind of nonsense imaginable
If you abstract TM out from all the 'extra stuff', you apparently get something like this
The Relaxation Response is a book written in 1975 by Herbert Benson, a Harvard physician, and Miriam Z. Klipper. The response described in the book is an autonomic reaction elicited by a mental device and a passive attitude that has been used for altered states of consciousness throughout various religious traditions and cultures. The scientific characterization of the relaxation response was initially prompted by research studies on Transcendental Meditation ("TM"), a yogic meditation technique, that was presented primarily to people in the Western world. == Origin == Benson writes in his book...
This unified field stuff looks like a dealbreaker it looks that bad, but maybe I'm being too hard
08:14
@bolbteppa oh
@bolbteppa is unified field.theory.not regarded as mainstream anymore
> by all accounts a gifted scientist, well-known and respected by his colleagues", but that his effort to link the flipped SU(5) unified field theory to TM "infuriates his former collaborators"
> Anderson wrote that two-page advertisements containing rows of partial differential equations had been appearing in the U.S. media, purporting to show how TM affected distant events
his wiki says he got into both physics and spirituality during his school days, which explains his current views on physics
i think those initial days shaped him largely
@bolbteppa yes... mainstream physicists tend to reject these ideas.. but it's nice to have someone credible with different views
You lose all credibility if you start doing things like this, it's a real shame he started going overboard saying this stuff
it's not much different from how many physicists r also religious. these views are only complementary to physics, these do not directly affect their physics research
09:16
@SirCumference 💀
@Obliv why cringe? :(
09:28
@RyderRude People who are part of a cult-adjacent spiritual organization, are employed by a university belonging to that organization and have a history of clearly unscientific claims are not "credible". Stop pushing pseudoscience as "interesting".
2
09:39
there's only one cult here and it is the worship of @ACuriousMind
@ACuriousMind the word "cult" carries a negative meaning around it. let's just call it organisation. by credible, i meant that he is credible in physics, as in, he has studied and researched physics.
@ACuriousMind but this experiment is clearly pseudoscientific. it just means that studying physics does not get one rid of all pseudoscientific views
i did not push this experiment as credible. i didnt know about it. i just meant his views on consciousness and quantum mechanics, which are unpopular but cannot be called pseudoscience
@RyderRude The negative connotation was fully intended, and I'm not the only one who would characterize this as a cult.
@RyderRude Connecting quantum mechanics and consciousness (or other spiritual stuff) is a classic characteristic of pseudoscience. I feel fully comfortable calling "the thesis that consciousness is a unified field that contains nature's programming code" (description of the video you linked) pseudoscience
@ACuriousMind i can understand this to some extent... after reading about that experiment
what if i define consciousness as the unified field that contains nature's programming code; then, it's a tautology ;D
This guy was in the What the... and The Secret, that's basically the epitome of the worst kind of quantum woo nonsense
09:52
@ACuriousMind i define pseudoscience as claims about scientific results without any evidence. Claims about the ontology are not pseudoscientific, or we would have to classify all of idealism as pseudoscientific when it's a valid philosophy
Note: I'm not saying there are no good scientific or philosophical discussions of consciousness in the context of quantum mechanics, just...most of them are nonsense
that is understandable..
there is this tendency among some physicists to make fun of all idealism philosophies as pseudoscientic, which is i think is a bad use of the term "pseudoscience". As long as one is conservative about the experimental predictions", it's not pseudoscience
Linking SU(5) field theories to meditation is not just pseudoscience its lunacy
e.g. wondering about QM and consciousness theories is not pseudoscience... saying that mind can influence the moon is pseudoscience
@bolbteppa it depends on if one makes predictions without any basis
simply making falsifiable a mathematical framework, and philosophies about ontology, are not pseudoscience
@RyderRude I don't know what "some physicists" (that for all I know you just invented) using the term 'pseudoscience' unjustly for some other philosophies has do to with you posting this nonsense here
You can't defend posting obvious nonsense by saying that sometimes someone else might call something else nonsense too soon
10:07
im sorry.... i should be more careful about what i post
@bolbteppa which gauge group would it be tho
@ACuriousMind What would you recommend for a good scientific discussion of consciousness in the context of QM?
@Sanjana what qualifies as good in this context
whatever ACM thinks to be "good" is good :)
There isn't really any good reason to think consciousness should be connected to QM anymore than economics or bees
10:14
that is wrong... many physicists past and present have linked qm to consciousness. if they were randomly linking things, many would have linked qm to bees too
to disagree with it is one thing. to say it has no basis is wrong
People have linked consciousness to many things
That is just a popular topic to which to apply things
random linkages are not comparable with modern trained physicists doing the linking
Name 5
@Sanjana Nothing
@ACuriousMind You opened the Pandora's box :p
10:16
@Slereah Penrose, Chalmers is a philosopher, Heisenberg, Schrodinger, Bohm
I was just making clear that I don't think there's something inherently wrong with "consciousness" and "quantum mechanics" appearing in the same text - but every instance I do know of is wrong at best and intentionally deceptive at worst
@Slereah I once heard NdGT say that it is not good practice to try to explain two not so well understood things in terms of other. (I guess when he says QM is not well understood he just means that it QM is done in terms or probabilities and hence never even meant to be well "understood")
Heisenberg, that nazi
replace him with Von Neumann
Von Neumann wanted to do a nuclear holocaust
Obviously insane
10:17
just Penrose should be sufficient then
Penrose is getting old
We all know he has lost it
he's been into it since he was young though. he didnt make it up in his 80s
@ACuriousMind sad
Bohm was also into it at a younger age
@RyderRude when did von Neumann write anything on consciousness?
10:19
The von Neumann–Wigner interpretation, also described as "consciousness causes collapse", is an interpretation of quantum mechanics in which consciousness is postulated to be necessary for the completion of the process of quantum measurement. == Background: observation in quantum mechanics == In the orthodox Copenhagen interpretation, quantum mechanics predicts only the probabilities for different observed experimental outcomes. What constitutes an observer or an observation is not directly specified by the theory, and the behavior of a system under measurement and observation is complet...
add Wigner @Slereah
@RyderRude I know the Wiki article; had you read it you would know that von Neumann didn't really say anything except point out that you can put the point of collapse anywhere between the measurement device and the observer
If you know of any place where von Neumann wrote anything about consciousness specifically, please list that source
yeah..it seems like Wigner added the crucial points. thanks.. i overlooked it
Von Neumann may have said it but the wiki doesnt quote him
If not, do you really think skimming Wikipedia articles then making rather big claims about some physicists writing about QM and consciousness is the right way to do this?
sorry... i didnt read about Von Neumann properly
why do you act as if you are somehow knowledgeable around the discussion of QM and consciousness when your sources are misreading Wikipedia articles? I mean, it's fine to be interested in the topic, but grandiosely stating that e.g. von Neumann is someone who's written good things on the topic when you haven't even read those things is just pointless
just a waste of everyone's time, really
@Sanjana Why is that sad? Why does consciousness have to have something to do with quantum mechanics? Because both seem like magic? :P
10:29
The fact that all observation depends ultimately on a conscious observer is also true in classical mechanics :p
"because both of them seem like magic?" is a popular but incorrect take on the topic
That's why idealism is a thing
Can't see the thing-in-itself and all that
@Slereah sure but there's it's intuitiveâ„¢ ;)
im just saying that it's ok if u call the viewpoint wrong. but saying "both of them seem like magic" is not properly replying to why people linked qm and consciousness in the first place
u can call something wrong, but the reason must be proper
people linked qm and consciousness because, like Von Neumann said, the collapse line has to be drawn somewhere between the device and the observer
if u dont want to reject the Schrodinger equation, u draw it at the observer
It started with Eddington who was also insane
10:33
and then depending on the philosophy, u either get many worlds or a consciousness based interpretation
There seems to be a requirement for someone to have proper reasons to call something wrong, but the bar is somewhat lowered when it comes to bringing indefensible pseudoscientific woo into the conversation, and of claiming that such is credible.
10:47
@Slereah nah, it's a natural part of the physicist lifecycle :P
10:57
@ACuriousMind When you out of all people said "I'm not saying there are no good scientific or philosophical discussions of consciousness in the context of quantum mechanics" I started expecting something very mathematical, or atleast a text which defines what consciousness even is...
Consciousness is hard to define
But that is a question best left to neuroscientists
you might call it a hard problem, even!
In the 19th century many dimensional geometry was the cool new thing and people were wondering if the soul was some 4th dimensional part of us
Chalmers has made "Integrated Information Theory" to mathematically identify consciousness, but "consciousness" is an undefined primitive in his theory
It is always the latest thing
11:01
@Sanjana there isn't even consensus that consciousness exists at all as a meaningful term
it's okay to have undefined primitives. "we cant even define subjective experience " is a popular incorrect argument against idealism
If the internet didn't make me conscious of consciousness,I wouldn't be thinking of it :)
youtu.be/hUW7n_h7MvQ?si=ZoFQFbPNlWuVCv8r in this video, Witten compares consciousness to the undefined symbols at the beginning of a math book
other incorrect arguments include "people believe in Santa Claus, doesnt mean he's real". these arguments fall apart when u think about them for a minute
@RyderRude i think one can read ACM's comment with an emphasis on meaningful rather than existing
oh maybe i misread what your comment was responding to
@SillyGoose sorry i wasnt disagreeing with anything ACM said. i see the order of the messages makes it look that way
11:14
is there discussion of a measurement problem in classical mechanics :P
ACM only says "consciousness may not be meaningful", which is different from saying "consciousness cant be defined, therefore it's meaningless". the latter is the popular incorrect argument i addressed
no one in the chat made the incorrect argument, but it's one of the most important ones in the discussion of consciousness
@SillyGoose no, because classical mechanics is compatible with hidden variables, hence there is no point of collapse
the hidden variable formulations of QM was made somewhat to get rid of collapse
but there r the "easy" measurement problems in classical mechanics ofc :P. I mean things about limitations of measurement accuracy
also i could think that one of the characteristics of a classical state is actually not intuitive at all. i am talking of the characteristic that a classical state remains unperturbed upon measurement or upon interaction with an ambient environment
what does one need to give up to believe in hidden variable theory of quantum mechanics?
yes..that should be related to the "easy" measurement problems ;)
There actually is an extremely famous classical measurement problem.
@SillyGoose at least one of : locality and non conspiracy
Gerard T'hooft is working on classical theories that r both non local and have superdeterminism
@SillyGoose see this physics.stackexchange.com/questions/32203/… . t'hooft made stackexchange into a discussion forum ;)
11:26
@SillyGoose I mean, this is clearly not true in the way you stated it: Plenty of classical measurement techniques change the thing being measured (e.g. if you measure mass in a mass spectrometer, you're changing a lot of about the position and momentum of the particle)
t'hooft doesnt participate anymore, maybe because he got warnings for these wierd posts
new research stuff is not allowed on the site
@ACuriousMind hm well do you know what the characteristic i mean to say is
The point is not that a classical state remains unperturbed during a real measurement, but that it is theoretically possible to assign unique values for all observables to a classical state - hence "measuring" those observables in an ideal sense
well my actual question is if foundations of classical mechanics is a field and has problems as "bad" as foundations of quantum mechanics
this should be obvious and intuitive to you since classically a state is given by values of $x$ and $p$ and all observables are just functions of $x$ and $p$
11:29
yes. classical mechanics's states have well defined values fundamentally
@SillyGoose not really, because there isn't a lot of problems to resolve - the main problem of classical mechanics is that, unfortunately, it turned out not to describe the reality we live in :P
I mean I guess you get stuff like Norton's dome and discussions of causation
classical point particle mechanics also has infinite potentials.... but these problems r all mathematical technicalities
nothing fundamental like the qm measurement problem
@ACuriousMind in real life, I can see assigning a definite (or at least approximate) $x, p$ to something like a baseball. if i take a video of it in a fixed frame, then i can set a coordinate system and etc. but this intuitive assignment and ability to find a definite $x, p$ seems limited to phenomena that a human can see.
also can i really not conjure up some exotic classical observable not dependent on $x, p$ :P some internal d.o.f. or something
or perhaps i should say find a classical system with internal d.o.f
@SillyGoose I don't know what you mean here - classical mechanics, by its very definition, says that states are given by tuples $(x,p)$ and that observables are functions $f(x,p)$
you seem to confuse the concept of "classical mechanics" with "the real world" :P
(also the $x,p$ are generalized coordinates so your "internal d.o.f." objection is substanceless)
well i guess it is difficult to speak of because i am trying to question a reliance on intuition and its relation to the established theory of classical mechanics
11:36
I don't know what that means
@naturallyInconsistent what is it?
humans evolved in a classical non relativistic world, therefore they intuit that physics @SillyGoose
@RyderRude well im questioning that people would even "intuit" classical physics
or perhaps making the claim that it is possibly a lie to say that classical mechanics is "intuitive" but i think such a claim would be hard to argue for without defining a reasonable definition of inuitive
11:39
you're obsessing too much about the vague notion of "intuition"
May 3, 2021 at 16:28, by ACuriousMind
imo, "intuition" is just a word for "I have seen this so often I don't need to think about it anymore" like 90% of the time
it is a lie, as people used to believe that things would come to a stop without an external force
the point being to inquire about the nature of the difficulties encountered in developing a theory like classical mechanics versus in developing a theory like quantum mechanics
so people did not really intuit the basics of classical mechanics
right so i feel then it would be inappropriate to call any physics intuitive. it is perhaps a poor pedagogical euphemism for the phrase "get used to it"
@SillyGoose I agree - when I say "it should be intuitive to you" I mean "you should be familiar with" most of the time
11:41
@SillyGoose Imagine you have a fluid. If you want to determine the positions and velocities of every mesoscopic packet, microscopic enough that we arent losing too much information, yet macroscopic enough that things like density and so on are well-defined, then you have to put a lot of detectors in your fluid. But the information they give you is only sufficient to predict for a short time, until the missing bits blow up to wash all your predictions into uncertainty. Now, the important part is
people sort of "intuited" the classical concept of position
and velocity
but we needed Descartes to get to co ordinatea
so the formulation of classical mechanics was not at all obvious
that if you take the limit of zero distance between detectors, i.e. your entire fluid is now just all detectors, you will still only be able to predict for a short time into the future. This is the original butterfly effect.
i should try to erase "intuitive" from my vocabulary :P
note that people intuited what position is, but formulating it using real numbers took centuries
even animals intuit position and velocity. it is a crucial part of survival
millenia ago, we first had mathematicians identifying lines and areas with numbers
@SillyGoose Remember the whole "How would the motion of the Sun appear to humans if the Earth were the one to rotate?"---The same goes for quantum measurements -> classical measurements.
11:46
@ACuriousMind there's tons of discussion of classical foundations
It's not a very pressing issue, but that never stopped people
then people figured out that there were irrational lengths. then after centuries, they invented more numbers so lines r completely isomorphic to numbers
@naturallyInconsistent is there a name for this system?
Position is very much not intuited
People debated for centuries whether or not a point made sense
@SillyGoose Our weather?
Euclidian space is not as intuitive as you might think :p
11:48
@naturallyInconsistent xD
that has to do with the technical details. but the vague concept of position is very much intuited among animals @Slereah
Well the vague concept is pretty far from classical mechanics
@naturallyInconsistent I think we're looking for "chaos theory" if the aim is to get a buzzword to learn more about systems like that :P
Chaos theory is often introduced from the standpoint of wanting to describe the weather
@ACuriousMind hey, just give meow meow a bit of time to type that out...
yes. that's what i was saying too. the tools for the precise formulation of classical mech took centuries
11:49
@naturallyInconsistent jinx :)
and even then, not everyone intuited Galilean mechanics even vaguely, as people are known to have gotten it wrong
Sigh, some people will never intuit social norms.
@Slereah what, you mean Euclidean space and time are not inner and outer a priori forms of intuition? :O
@Slereah what did u mean here? were Euclid's postulates controversial
Kant would like a word
11:51
people debated parallel posulate for long
Kant can't have a word. Einstein threw a curveball blocking his path.
though, of course, Kant left too many words
@RyderRude very
what is an alternative to taking (some notion of) spacetime as a priori knowledge
@Slereah oh
@naturallyInconsistent nah, imagine how long his sentences would have been today where he wouldn't be limited by the space on the actual paper ;P
11:53
@SillyGoose bolbteppa will be very annoyed if you started going into causal dynamical triangulation
now that i think about it, euclid's postulates can be said to be over committed ontologically, as they say lines can be extended forever
Would Kant use LaTeX or Word though?
@ACuriousMind I would have elected to channel the paper to Fermat instead.
@SillyGoose making it a posteriori knowledge instead? :P
this, and the existence of points, migjt have been a source of debates
as people back then thought of euclidean space in the physical sense
11:54
i cannot conceive of what it would mean for (some notion of) spacetime to be obtained a posteriori-ially
They had all kinds of objections
like, we have our senses, we build a model of our sensory expressions in our head and discover it's useful to label the position of stuff with numbers, bam, spacetime!
@SillyGoose well, you can sit on it...
y'know, classic Humean stuff, tabula rasa-style
@ACuriousMind ouchie
11:55
@Slereah oh
If you wish to learn more you can read the pyrrhonists or the epicurians on the topic
They were pretty anti-geometry
i will check it out..
I'm told that the sophists were also quite against it, but no writings survive alas
but in what does an a posteriori spacetimer think they exist in before their a posteriori knowledge was obtained
were there gang wars between them :P
weird that people back then subscribed to schools
11:57
well it's not a problem to not know what one is i suppose
or is in
@SillyGoose your mistake there is assuming any notion of objective existence :P
They certainly wrote pretty mean things
Hume is not called a radical skeptic for nothing :P
i'd like to see a definition of knowledge to an a posteriorist :P
11:57
that's not the term, but: go read Hume
i dont see physicists today having a school surname
maybe philosophers do
well i sympathize with hume's sun business...but it is not very useful in day-to-day life as deemed by society
Physicists originally was a school surname
Hume was apocryphally more or less the trigger for Kant to develop the whole line of a priori/a posteriori distinction because he disagreed so much with Hume grounding everything in the senses
11:58
lol
It was the philosopher who dealt with natural philosophy
Mostly guys of the platonic school
people today dont have badass titles... "astrophysicist" , "particle physicist" , etc
Hume mostly just infuriated all 18th century philosophers into doing the modern philosophy
@SillyGoose if you care about usefulness to day-to-day life what are you doing in a physics chat?
did bolbteps leave the chat bc they were annoyed 0.o
money in the bank!
12:01
well i don't care about usefulness in day-to-day life that much :P i care about eventually being able to work on something interesting to me
but i personally think people in general operate on a day-to-day level and also a more abstract level and switch between the two depending on the occasion
@Relativisticcucumber defo winning at mah job
@Relativisticcucumber all the times i said bundle
@SillyGoose cuddle bundle!!!
should i read a treatise of human nature :P
how is this book cited 30,000 times 0.o
Let's perhaps not have celebrating annoying other users on the starboard, alright?
12:07
wiki says Hume introduced the problem of induction
i guess other people had to have known it before him but Hume populaised it
"I believe it will not be very necessary to employ many words in explaining this distinction" XD
is Hume readable in terms of vocabulary?
philosophical writings tend to over complicate things
Hume isn't too tough to read
here is a sample to judge
He is no Kant
12:10
@Slereah i will read then. thanks
@SillyGoose lemme see
there is a link to his "a treatise on human nature": files.ethz.ch/isn/125487/5010_Hume_Treatise_Human_Nature.pdf
is an entangled state a simple or complex perception :P
Do you perceive entangled states
@SillyGoose after a long time, i found a philosophical text enlightening
pity the darkness
@Slereah well hume does not define perception :P
12:15
ive always wondered if thought was a qualia
so i guess im not sure. but if an apple is an example of somethign that can be perceived i would assume an entangled state also is
hume seems to say it forms a spectrum with other qualia
What is the boundary condition corresponding to outgoing waves and why is it equivalent to that particular pole prescription?
some philosophers would say only thoughts exist and feelings dont exist, and thoughts are pure information. but even thoughts are a feeling
12:16
well maybe hume defined perception elsewhere explicitly or implicitly, but i have not seen an explicit definition in this work preceding the first mention of "perception" and i am uncertain if it has been defined implicitly in this work
@SillyGoose it has the look of a modern text
Hume might be my favorite philosopher already
after doing some mathematics and physics philosophy seems a bit more approachable
@SillyGoose "perception" here is used in its dictionary meaning (1b here) of "any mental image" - it's just anything we "see in our mind"
hm well i am intrigued to see how hume relates ideas to knowledge...if he does
@SillyGoose what philosophy texts did u like reading
12:25
i haven't really read many. i liked some sections of aristotle's nicomachian ethics and some sections of aristotle's poetics.
but i think i liked such works because they were somewhat understandable and also helped give me a notion of what "western thought" comes from and looks like in relation to other types of thinking
so not really for the philosophical content per se
@Sanjana that is googleable. It is a rather important condition and comes from us imposing causality
@naturallyInconsistent I have done this in case of wave equation and KG equation where the condition indeed comes from causality. Here I am dealing with Helmholtz equation instead...
i feel like philosophy texts are the ultimate instance of "the exercise of left to the reader" :P but in this case the exercises have no solutions
2
@Sanjana Helmholtz equation also comes from trying to solve the wave equation. It is the same conditions, even if we start applying them to further and further applications that dont map onto waves any more
yeah. philosophy is annoying for that reason
i sometimes feel all the philosophy ive made is all baloney
it's because there's no depth..
maybe it's just how i understand philosophy or maybe philosophy is like that
12:33
@naturallyInconsistent Yes, I got this from wave equation itself by fourier transforming in time only, but still I don't understand why the pole prescription is like that... I mean, I do think there should be some PSE answer on this which clarifies this, but I can't find it
When you are free, can you please send me a reference or something? I think it is a pretty well discussed issue
@Sanjana do you remember it from QFT or from wave equation or KG equation? The argument is exactly the same. The integral is not-well-defined, but we swap it for a well-defined contour integral as a shorthand to remember what well-defined integral we are actually trying to do
@naturallyInconsistent Yes I remember why we had to do this, but I am asking why does this particular prescription correspond to the physical problem of outgoing waves... E.g. I know the arguments for pushing the pole to the LHP for the retarded GF for wave eqn/KG eqn. Similarly, I wanna know why we are putting one pole in the UHP and one in the LHP in this case
That is one way of defining the integral out of others, why does that way correspond to outgoing waves...
Tong's notes says what Jackson says "it's obvious"
hume pulled out the bijection $\varphi: \text{SimpPerc} \to \text{CompPerc}$
@Sanjana oh dayum. They arent helpful. It has to do with whether you are even allowed to close the contour in the UHP or LHP when you consider the input variables, and then you will pick up the contributions. A brief check then tells you if your choice is causal, anti-causal, retarded, advanced, etc.
@naturallyInconsistent Yes...I know that too. I know that we should close the contour in such a way that the semicircular part gets damped and then if we include both the poles then we get retarded (for LHP), advanced (for UHP) and Feynman/anti-Feynman if we take one of the poles.
In the snapshot I sent, they are taking the Feynman and anti-Feynman cases, my question again is what does these have to do with an outgoing spherical wave's b.c.s
12:47
@Sanjana The closing of the contour is fixed by the input variable. Whether you nudge the poles which way, is the thing that defines the very integral itself, and that also determines if it is Feynman, anti-Feynman, etc
@naturallyInconsistent Hmm that's what I said. Now, my question is... what is the relation of that particular pole prescription with the outgoing spherical wave b.c.s
@Sanjana errm, those are related? You can check that too. Isn't there some asymptotic form for you to check whether the waves are outgoing or not?
gtg
Ok.
But I still don't get how does that pole prescription correspond to outgoing waves only
13:19
@Sanjana DanielSank has an excellent answer on the relation between pole prescriptions and damping of oscillations ("waves") here - note that one way to close the contour there corresponds to $t>0$ ("outgoing") and the other to $t<0$ ("incoming")
@ACuriousMind But there's no $t$ in Helmholtz eqn.
Thanks for the ref. though
@Sanjana ...why does it matter?
$x\ll 0$ as "incoming" and $x\gg 0$ as "outgoing" makes the same kind of sense to me
@ACuriousMind What is $x$ here? In that integral we have only $r$ which is always greater than zero
And I still don't get why is there a $-i \epsilon$ in the denominator like that. I mean it could be that $(k \pm i \varepsilon)^2$, but it isn't...and that seemingly is decided by the fact that we are looking at "outgoing waves".
Jackson guesses the correct G.F. avoiding contour integrals and pole prescriptions (from knowledge of G.F. of Poisson's equation). The snapshot is from Haber's handout on radial green's function expansion.
13:44
@Relativisticcucumber Definitely not annoyed, you'd be poor!
(With reference to my 2nd last text, instead of $k$ it should be $q$ above)
Had a weird dream where I was trying to figure out whether it's $2+2=4$ or $2 \times 2 =4$
3
it's neither
well at some point i figured maybe it's 2 to the power of 2 equals 4
14:47
@ACuriousMind you mentioned before you didnt like the academic world and thats why you parted from academia. did you do a PhD? I am currently having similar thoughts and im not sure whether or not to pursue a phd
@lucabtz no, I didn't do a PhD (but many of my now-colleagues did and plenty of them don't regret it)
@ACuriousMind what do you work in?
software engineering, specifically linters and other quality tools for programming languages
@ACuriousMind your collegues have PhD in physics or information technology though?
plenty of my colleagues are math or physics PhDs - there's a running gag that SAP stands for Sammelstelle Arbeitsloser Physiker, which is German for "collection point for unemployed physicists"
some are trained computer scientists or IT people, but they're not even the majority
14:56
@ACuriousMind oh i see
@ACuriousMind Quite common
yeah, it's not specific to this employer, software development is full of STEM people who didn't stay in academia
@ACuriousMind yeah im aware
Think of it not as the end/highest-stage of your education, but instead as the very beginning/training-wheel stage of an academic career, and that you're asking someone to personally spend years preparing you like a Medieval apprentice to do that focusing on new stuff (not studying out of books), you also just need to be sure the opportunity cost is not too great if it all ends up not working out, which statistically is a real possibility
(In reality people treat it as the end stage of their education and figure out during that that they'd prefer to go to the SAP and sometimes that's valued but often its not)
@bolbteppa yeah i dont really know. i have been on a break for a month. gonna go to journal club this thursday and hopefully i will be back into the ideas of wanting to pursue PhD as i was before
i dont really see it as an end though, of course it is more of a start if i stay in academia
15:18
It's really a very personal decision - I know people who enjoyed their PhD immensely even if they already knew they wouldn't stay in academia afterwards, I know people who were miserable during their PhDs and still stayed in academia, etc.
15:49
I'll quit my PhD before starting it
The only part of Physics I'm interested in is filled with people fighting over interpretations and it takes a god-tier mastery to do anything relevant :'(
what part would that be
QM people don't argue that much over interpretation
If one were to draw comparison between Fock states for photons and eigenstates of the quantum harmonic oscillator, one could see similarities between the eigenvalues of the corresponding eigenstates. In the QHO an energy eigenvalue is of the form $E_n=\hbar\omega_n(n+\frac 1 2)$. If we were to keep $\oemga_n$ fixed but increases n, that would translate physically into oscillations of same frequency but larger amplitude. Now for a system of photons, if the system would be in a fock state, the
corresponding energy would be again $E_n=\hbar\omega_n(n+\frac 1 2)$. But is it correct to say that here one cannot keep $\omega_n$ fixed and increase n, because that would represent a different state, since the nr. of particles, photons in this case, is fixed for a fock state. Would this be a difference between QHO eigenstates and eigenstates of the number operator ?
@Slereah not "interpretations" literally. I mean things that are still far from any experimental verification and people are basically ready to kill each other for that
16:09
@Mr.Feynman what part is this?
@ACuriousMind yeah i guess
@imbAF you misunderstand the situation in photons. What we are really doing is akin to first doing normal mode decomposition in classical physics. Find the waves, the fixed $\omega$ and $\vec k$ that describes each particular type of possible collective motions, AND THEN quantising them. So, in your photons case, you have already fixed $\omega$, and then working out the quantised amplitudes you are allowed.
Note that in particular, $\omega$ is a continuous quantity, whereas the energy is quantised in units of $\hslash\omega$, i.e. $E=n\hslash\omega$
This means that energy is quantised on a continuous quantity. It is simultaneously quantised and continuous.
I don't understand, how is that possible? And most importantly of all, doesn't it depend on the situation? If you are in a cavity, you would have discrete values, no?
But still I don't understand what you mean
In a cavity, yes, then $\omega$ is only allowed discrete values, but the energy is still quantised in terms of them. Then energy is no longer continuous
And, would my analogy to the QHO be accurate?
16:16
Somewhat, but again, the $\omega$ are technically supposed to be fixed as you increase $n$ for that specific $\omega$
but can you do that? Because in my class we said that the fock states, assuming the system (what is the system??), is in such a state
have definite photon numbers
or particle numbers
so, if you were to increase the index n, then you'd go to a new fock state
which I believe, is characterized by a new $\omega_n$
unless it is not, and you can have different fock states of same omega, meaning the difference between fock states is in the nr. of particles and not the frequency
We have somewhat no choice but to have to start with quantised quantities that are idealised to not be interacting with themselves. i.e. photons that are not interacting with other photons
@imbAF this alternative is the one that is correct.
I see
@naturallyInconsistent regarding this
Between stat therm and the move from QHO to phonons and photons, the professor is supposed to emphasise to you multiple times that we are doing a swap in interpretation, from "one QHO, excited to higher energy levels" to "one mattress of many coupled springs, now re-decomposed into coupled modes, and the $n$ is now recast as number of photons in that wave mode, rather than energy level of the same QHO"
are you using mode and state interchangeably ?
To me mode is something classical, I mean we mostly dealt with modes of the light wave in classical optics
Then in quantum optics, we are talking about the state
But I believe that is not correct right? The state must contain info. about the moe
mode*
@naturallyInconsistent in TE modes, the magnetic field might have components alongside the direction of propagation of the light wave?
16:27
No, I am not. In fact, it is quite delicate and worth talking about. In a Fock state, you have to specify how many photons are in each mode. So, something like $\left|n_1=2,n_2=3,\text{else zero}\right>$
Where I am talking about mode as in normal modes from classical mechanics.
but the thing is, what should I understand with mode
you have gaussian mode,
Hermite-Gaussian mode , Laguerre gausian mode, TE,TEM, etc
these are all modes
I am currently doing a threat for this issue of mine
@imbAF any set you like, that is sufficient to span the part of the Hilbert space that you are caring about.
"that is sufficient to span the part of the Hilbert space that you are caring about." what you mean by this ?
16:34
Well, if you have a quantum system, the states in it live in a Hilbert space. If your choice of set of normal modes to consider is sufficient to form a basis for the entire Hilbert space, with no overlap, then that is the best. Typically, though, we only care about a subset of the entire Hilbert space, e.g. just the spin-half part. Then we discard, say, the position dependence and just focus upon the spin-half part. As for the many modes, I worry that your "basis" is overcomplete
If it is overcomplete, you can reduce down to a basis, but it is typically easier to work with a "basis" that spans, but has overlapping parts that you find some way to work around.
@naturallyInconsistent I mean, basically all of HEP that's beyond the SM
@Mr.Feynman oh, the sexy part. no wonder
@naturallyInconsistent "normal modes to consider is sufficient to form a basis" aren't we using quantum states to form a basis?
@imbAF Well, remember, you have to be much more precise with what you mean by state now. If you already have Fock states defined, then you are not using them to form a basis. Instead, you tend to be using the non-interacting, independent, one-particle states as a basis to expand your Fock states. Those are what you might think as the good old quantum states.
Whereas, to avoid having to talk about this mouthful, and to connect better with what it is we practically do, I talk about classical normal modes as being the stand-in for those one-particle states.
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