Is mid- and far-IR spectroscopy ever done in water? I looked at the absorption spectrum of liquid water, and it absorbs a lot in those bands. I imagine that water would absorb a lot more than an analyte dissolved in it.
@user430580 mandatory. But dry ice is not exotic. You can easily buy it.
@Sanjana then you might want to look into geometric algebra. Which is different from algebraic geometry.
@Arjun Goldstein is clearly doing proto-quantum. There must be corrections due to inter-particle collisions, but that turns out to be negligible for a tremendous range of accessible experimental parameters, and so we generally begin with neglecting such corrections. It is just like with how blackbody radiation must be corrected at superbly high densities, but we havent begun to experimentally find these corrections.
@qwerty You are always allowed to assert that you only know the path from a certain premise to a certain conclusion and have yet to map out the territory. Deviations could be cliff's edge. That's how most profs teach QFT. Just because someone isn't sure of everything is not a show-stopper for teaching.
but yeah, note the ppl who are so confidently incorrect and unapologetic about it.
@qwerty what I think is, whenever someone writes a good blog post it really means that [s]he wanted to write that blog. It doesn't mean they have dedicated time for writing blog every day. They write whenever they feel like writing it.
@Slereah Your unfinished articles look much like how I experience technical writing - I excitedly put all the section and subsection titles up and imagine how nicely structured the final result will be, and then get discouraged at writing down the actual content :P
haha you people have structured articles because you see the big picture. my sections don't come in until mid way through the whole process at least when ive finally managed to chart the territory as NI put it
also, the use of compactification is exactly reminiscent of Kaluza Klein... cuz they say that gravity in higher dimensions becomes EM+gravity in lower dimeneions
> In string theory, conformal symmetry on the worldsheet is a local Weyl symmetry. There is also a potential gravitational anomaly in two dimensions and this anomaly must therefore cancel if the theory is to be consistent.
but this symmetry is not of the original string theory, but of the wick rotated one. why must this anomaly cancel
i think conformal symmetry is just a calculation tool after wick rotation? Is it physically relevant too?
this is y string theory is so cool. they can convert Feynman diagrams to spheres because of this
im trying to list all the good features of string theory, things that are not ad-hoc
Susskind says that we can talk about the wavefunction of the string as a collection of N particles joined together by springs. and when string ends come together, a new sring forms and the strings can join
can this derive the sum over topologies
leave this aside for a moment. another good feature is that the quantisation of the 1+1 CFT gives u a bunch of particles. Standard model does not have this feature
i think the sum over topologies is kinda ad-hoc. but the particles thing is cool
and finally, there is the feature that compactification produces gauge theories, while gauge theories are ad-hoc in the standard model
but this is a feature of compactification in general, not specific to string theory
@RyderRude you have absolutely no position from which to say this.
@Arjun of course. Pressure, density, for example. When you send a beam of particles onto a target, you get to tune a lot of parameters for both the beam and the target. Apparently, for the properties of these corrections that you are interested in, what we are doing is almost always in the low-density limit, i.e. corrections are negligible.
@Slereah finally, something fast enough that there is no need to 2x it
@Slereah actually, your code seems to still need other stuff outside of it? Like, even if we put in the big code chunk at section 4, we would get something that has an image array, but no way to put it on the screen as of yet.
@nickbros123 no; look at section 4, where it actually populates the image array. It is only a double loop of x and y, and for each pixel it fills in all three colours at once.
@naturallyInconsistent I suppose the output of the code comes out as binary pixel information, like I have seen some people use P3 or P6 for writing into a PPm file. after that i suppose they use a ppm image viewer or something? I am not sure of this
@nickbros123 with the way that Slereah wanted to use it, i.e. as a wave to be displayed directly onto the screen, I'm thinking that he is not thinking of saving it out to a file. If you want to, though, of course you can just make a gif of that.
@SillyGoose it's S-duality due to Kapustin-Witten, but 99% of physicists will not know what that is, so sure, some string theorists will be happy about this
I would not classify that as "substantial impact on physics" :P
Maybe the following information helps: Part of the motivation behind the nLab site is that there are many important developments in mathematical physics these days which are rooted in recent progress in homotopy theory but for which practicing physicists will have a hard time tracking down the relevant entry points or of which practicing physicist will have a hard time even becoming aware of (as maybe this dicussion here shows).
they just went and thought, hey, all these maths topics arent advanced enough, we gotta elevate them (to be said in the tone of voice of a 2010s celebrity tv chef)
In mathematical logic and computer science, homotopy type theory (HoTT) refers to various lines of development of intuitionistic type theory, based on the interpretation of types as objects to which the intuition of (abstract) homotopy theory applies.
This includes, among other lines of work, the construction of homotopical and higher-categorical models for such type theories; the use of type theory as a logic (or internal language) for abstract homotopy theory and higher category theory; the development of mathematics within a type-theoretic foundation (including both previously existing mathematics...
nlab thinks this idea will bring some revolution
the revolution is doubted by other mathematicians rn
Notice that the nLab is widely cited on Matheoverflow (the mathematics SE discussion group with, if I may say this, a good bit higher average quality than the current Physics.SE site, notably Mathoverflow has lots of active bigshot mathematicians participating); it is referred to as a standard cite to turn to before asking questions (see here: http://web.archive.org/web/20130606040144/http://mathoverflow.net/howtoask#homework).
in e&m if we have a case where the half space $z<0$ is a conductor where the plane $z = 0$ is a zero potential surface, is this any different than having a finite width conducting body? by "is this any different" i mean if i solve the first case using method of images, can i say the solutions for potential and field are the same in the second case?
if i have a thin conducting plane of thickness w, with the right hand surface at z = 0, and the left hand surface at z = −w, I have concluded that the electric field to the left must be zero. however, i dont see how this is possible conceptually. why does the left side not "feel" the field from the charge on the right side?