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12:33 AM
You are developing a new OS?
@BernardMeurer Your link is bad, github gives 404.
@peterh I made some repo changes
There you go
Yep, I'm making my own OS
Well, kernel/x86_64 is a good start for the source tree :-)
I try to keep it simple :p
Does the loading with grub already work?
Yep, you can test it on your own machine
I can walk you through it if you want
12:38 AM
although it literally just prints garbage to the screen right now :p
Rather I would test it in a qemu virtual box.
You could port the parrot virtual machine in it.
It has that automated through make already
That would also solve the memory management problem.
just do make run and it will run it on QEMU
and make run-vb on virtualbox
12:42 AM
Ok, I do a clone!
you will need to install xorriso for it to work :)
It's needed for creating the bootable ISO that goes into QEMU and VB
Ok, but why?
b/c QEMU doesn't take direct kernels built with Multiboot 2.0, just 1.0 and I don't want legacy support
so you need to make an ISO with GRUB and boot from that
and grub-mkrescue (which makes the ISO) depends on xorriso
First I need an apt-get install nasm...
but for some reason it doesn't install as a dep automatically so you gotta do it manually
Ah, yeah, and nasm
12:45 AM
Yeah, I am on a 64k connection, it won't be fast
You'll be the second person ever to run this lol
Uhm, also I have some github repos, which won't be ever cloned/forked by anybody...
Maybe nobody wants to play Icaros' role :-)
FINALLY someone gets it!
You're literally the first person to understand it
My biggest hobby-project is now at around 200k source, I think the few people checked it didn't even tried to understand, what is this whole thing about. Well, maybe I had to write some doc :-)
12:54 AM
I hope you could note it
Nope, too fast
try again
Got it
Essentially, it is a C++ API around the select() system call.
Didn't get this last one
But I forked your project, and you got probably a note about it in the github.
I see
Lol yeah you need some docs
I have no clue what this is
good readmes are crucial
12:59 AM
Yes, but first it should compile... now the problem is that although it is in C++, I don't use templates. I do everything with multiple inheritance, some of my final classes have a 5-7 level deep inheritance diagram from around 30 classes. Now I try to use some static code analysis tool to find the diamonds.
It is a re-implementation of my master thesis, where the main problem of my teachers was that I had to talk with a lot to understand, what is this whole thing about :)
Well, daedalos runs in virtualbox
at least in the Makefile
make run-vb
I use qemu on my client machine, virtualbox doesn't have a working direct pci access, but I like to run w$ 3d things on my secondary vga card...
then just make run!
The excitement!
First I download grub-common... xorriso is already done
::heavy breathing::
1:27 AM
::recompiling qemu::
Dang it
I'm almost done setting up the xcompiler
which should make it a whole lot more stable
But I've had enough kernel dev for the day
You could make a VPS-only OS running a parrot VM in the kernel
It could be easy to implement, and it would generate surely a lot of clone & fork on the github :-)
it runs
...the qemu runs
It can't find a bootable device
I debug your Makefile
Could not read from cdrom: error 0004
1:50 AM
That's awkward
I think it's b/c there's no xcompiler right now
I could be wrong
The bios boot code of the qemu tries to read the 11th sector of the iso image, it checks its first byte, it should be zero. If it is non-zero, it gives back an error 0x0004. I think the iso image creation wasn't parametrized enough well.
I check the grub-rescue
What's the output of lscpu | grep Architecture?
linux. Debian. stretch.
No, no, the iso is not bootable, at least with the emulated qemu bios
Your Makefile is very silent, how you made it? It doesn't show the executed commands.
Yeah, the V=@
1:59 AM
Just do make whatever V=
it will start talking
I gotta go home, brb
I commented out
I play a little bit with the grub-rescue
Keep me posted!
okay :-)
@BernardMeurer This is the file structure on the generated iso: ./boot ./boot/grub ./boot/grub/grub.cfg ./boot/grub/roms ./boot/kernel.bin . Are you it is okay?
2:15 AM
what time is it?
@2physics Funny question on a global internet chat :-)
@peterh yup didn't have anything else to ask :D
@2physics But I have :-)
@peterh well go ahead and ask
@2physics Sorry for the silly question. I try to calculate the weak hypercharge of nuclei by summing their components. But it is different for left- and righthanded quarks. I think, in a nuclei, we can calculate as if they would be 50% left-handed, and 50% right-handed. So, can I calculate with the average?
2:26 AM
@peterh sorry, my knowledge of particle physics is elementary and can't help to answer that :)
@peterh that seems correct, yeah
Which QEMU are you trying to run this with?
@BernardMeurer Is it the same on your system, too? Are you sure some tricky boot sector or any similar isn't missing?
@2physics Thanks, no prob!
@BernardMeurer 2.6.0, own compilation, from pure upstream
@peterh I'm on the bus home, I'll check once there
@BernardMeurer I tracked the bios code in the qemu. It tries to read the 11th lba sector, then checks if it first byte is zero. To be able to go further, it must be zero. If it is non-zero, returns with error 0x0004.
@peterh what do you study?
2:32 AM
@2physics programming, german & english language and hobby-level physics :-)
@BernardMeurer Now the whole iso is nearly empty with zeros until 0x8000. At 0x1be there is a little, 14 byte long binary data.
@peterh cool and what's your native language?
@BernardMeurer It seems as if any bios boot code would be entirely missing.
@BernardMeurer Could you upload your iso image to a gist?
@2physics hungarian
@peterh does it look like German?
@2physics No. It is farther from German as Persian.
@peterh didn't know..
@peterh I have a question , maybe you know about it.
2:44 AM
@2physics Most similar language is finnish, but even it is quite different. For example, both languages use suffixes instead the prepositions, but even the suffixes meaning the "in" preposition in German and English aren't even similar.
@peterh you mean there aren't prepositions in finnish and hungarian?
@2physics None in Hungarian, and probably also none in Finnish.
@peterh you know in persian(it's called Farsi or Parsi also) you can add the subject to the verb, like suffixes
@2physics Everything goes with suffixes, and these suffixes can be combined. For example, plural has also a suffix. Now the translation "in the schools", gets first the suffix of the plural, and then the suffix for the "in".
@2physics Wow, also it seems tricky :-)
@peterh for example in english you have to use e.g, I+go separately. but in persian any verb has its subject with it. means you can say a word while it's a whole sentence :D
@peterh seems it's kinda harder than persian :D
2:52 AM
@2physics yeah
@peterh also you know written persian is quite different from spoken. and if you try to speak like what you write, it sounds funny :D. the letters are written Arabic , although words are quite different. I mean forexample it's like writing hungarian by english letters.
@peterh btw, you know there are some storage spaces dedicated to internet users freely, to store their data freely. such as on gmail or upload websites and etc.
@peterh my question is about the capability of processing the data or installing programs remotely on some strong processors. Isn't there such a stuff on internet which is free of charge?
@2physics Is it possible, that you are writing farsi with latinic script? For example, if there are no arabic letters in your actual environment?
@peterh of course. it's called Finglish (Farsi+English) :D
@2physics Ok, but English isn't really consequent in the actual pronouncation of the letters.
@peterh you just write the way words sound
3:02 AM
@2physics But, at least it has wowels. :-)
@2physics It doesn't depend on the cpu, it depends on the OS you are using on it.
@peterh yeah, for example there are some consonants which are not exist in english like : kh, gh, zh(like in mesure, or bonjure)
@peterh no no, I'm not talking about my computer's hardware. I asked, for example you imagine google has a service which allows you to use its computers remotely to process data, or to install a software and run it on their computers.
@2physics Amazon has a cloud. It starts to be a "well-going" industry. As if anything could be well-going in the sysadm world...
@peterh is it free?
@2physics No. I don't think any free service would exist for this. Running a virtual machine requires a lot of hardware.
@peterh Okay, I'm home
let's see
3:13 AM
@peterh okay..
@peterh Okay, works here
I'll up the .iso
@2physics There are small providers in your home, and in Russia, China... you don't need to pay a lot of hard dollars for big U.S. companies, they have already far more than they should have. And, as I know, in Iran it is not so simple to pay on the net. But it is simple if you pay for an iranian provider.
@BernardMeurer okay! Let know it :-)
I've put the bin and the iso there
@peterh cloud service providers you mean?
@2physics yes
3:16 AM
Tested and works on VirtualBox too
@peterh yes you can't pay for international services here through iran. international creditcards are not supported here.
@BernardMeurer I am on a 64k link. Could you give me a simple link, where I can simply download the binary with a wget?
@peterh Sure, one second
@peterh didn't know we have such a thing here lol :D just heard of some Grid Computing Groups
@2physics Don't think it would be a problem. In the EU, it has a significant effect to the budgets that people pays a lot to the ebay, amazon and similar US companies. In Iran, there is the possibility for this money to remain in the country.
3:19 AM
@peterh Why are you on a 64k link?
@2physics I am surprised, maybe with Russia and China, there should be a possibility of the international pays.
@BernardMeurer Because I have a hobby-project to make me independent from the "cloud".
@peterh that's right. but when you need you have no other option
@BernardMeurer Thus, I use a 64k mobile contact for everything, and use a lot of offline downloading things and localnet solutions. I don't use gmail, I load my mails in the background with an offline imap client, and use my own local mail server. For example.
@peterh wget "https://files.fm/down.php?i=mxqkugn2&n=DaedalOS-x86_64.iso" -O DaedalOS-x86_64.iso
@peterh Hardcore
@peterh yea there are some with the russia but they are not so useful and as prevalent as paypal and etc
3:22 AM
@2physics Why do you need a virtual server 10000 km far from you? I think, if you want to do something which is better to do out of the country, so or so you can solve it. In your place I would use a small russian provider for the task.
Hope that one works
@BernardMeurer Thanks, I can parametrize wget :-) Your image is much bigger, 19MB... my is only 380k.
@peterh I wonder what was going wrong...
Why was yours generating such a tiny image
@BernardMeurer You said the file structure on my iso looks okay. Could you please compare to yours again?
@peterh okay you are right, thankyou for the advice, I'll look for some in Russia.
3:25 AM
@peterh lemme mount my iso
I was wrong about the file structure
@BernardMeurer First I have to download it. But I pasted the files on my iso, here is an echo $(find) output: . ./boot ./boot/grub ./boot/grub/grub.cfg ./boot/grub/roms ./boot/kernel.bin
@peterh btw sometimes I think it's not so hard to make a powerful pc using some rather cheap CPUs in a parallel structure.. at least it can solve my problem with my laptop :D I may try to make one and see if it works
Yours is missing all the grub stuff
@BernardMeurer It seems, grub-mkrescue isn't a success stroy, at least the debian one...
Very curious
Can you try manually running it?
Just manually do what's being done under the iso target at the Makefile
3:35 AM
check your snapchat
make iso, relevant output line: grub-mkrescue -o ./build/x86_64/DaedalOS-x86_64.iso ./build/x86_64/iso
Heyy, makefiles aren't for microsoft users! Make them verbose, programmers want to see, what is currently going.
And don't remove intermediate files... now I need to move the rm -rf $(BUILD_DIR)/iso into the clean target.
@peterh nice talking to you. take care. bye for now
@2physics Good night!
@BernardMeurer It works also manually, but grub-mkrescue doesn't copy any grub data into the iso.
@BernardMeurer I debug it, it seems hilarious to me.
This is why I don't like Debian :p
3:44 AM
@BernardMeurer yes, I am also thinking to switch to an usable distro
@BernardMeurer I tried suse, because Germany rulez, but it is far worse as debian
I run Arch and am very happy with it
I've heard good things about Void Linux as well
I've thought on Gentoo but it is not in the actual implementation phase yet :-)
Okay, I gotta leave again, thanks for testing DaedalOS! See ya!
@BernardMeurer Your image looks as an efi thing...
@BernardMeurer I probably found the grub-mkrescue problem with a strace, it looked for its files in /usr/lib/x86_64-efi , to have this directory I have to install another grub package :-) Of course it spared me even a simple warning :-) Good night! :-)
Last night dream = super awesome because it is a rather cohesive time travel story. I have so far obtained 3 time travel ideas from it. The dream can also sound like author Mary Sue near the end though because throughout the whole dream the dream and I were battling for the control of the story's ending, despite I am only semilucid
It is however, not free of time travel plot holes, and it seems to challenge my own time travel model a lot as I was seen constantly thinking about it as the events transpired in the dream
4:33 AM
@DanielSank About that custom flag you cast (hopefully you know the one): NAA is the option you're looking for.
talking in code?
@DanielSank Well, we can't be sure. I did consider your idea of completely removing the HW-like close reason for a short time to see what people do instead. I suspect that most people would take it as a sign that homework-like questions are now to be considered on topic, or they would just move on from the question after not seeing an applicable standard close reason; either way, it would lead to many homework-like questions being left open.
5:24 AM

Direction in an algebraic sense, is really the interrelation of the vector components. One can see this easily when attempting to visualise the computation of eigenvalues
For example while graphically you will have some solutions to the kernal of some matrix be vectors biting head to tail in a closed loop, or just pairs of vectors cancellign each other out, when these are presented algebraically, they are both done using 3 numbers
So what looks like numbers on paper can actually be very complex objects when drawn geometrically on paper
the pitfalls of visualisation in some context is that as soon you represent the concept on $\mathbb{R}^n$ distortion of the original concept can arise in the form of constraints introduced by the topological and geometrical nature of points in $\mathbb{R}^n$
one example is that you can end up with things that is recognised as a triangle shape while the concept itself does not say anything about triangles
5:44 AM
@DavidZ Ok, noted.
@DavidZ Let me see if I understand the main points of your most recent meta post:
1) Our research thus far says that people use the homework close reason for whatever they want, i.e. there's no clear trend,
2) so you're asking people to come forward and either just say what they use that reason for, or propose a way to gather that information via further research.
Hello @dmckee.
Fancy a physics puzzle?
@DanielSank It's late here, but sure.
@dmckee Well hopefully this is really easy.
There was a post today asking where the formula for the thermal deBroglie wavelength comes from.
The formula being $\lambda = n / \sqrt{2 \pi m k_b T}$.
Yeah. I saw that post, and I didn't get it. The oddity seems to enter at "effective kinetic energy" which is not a concept I'm familiar with.
$E_K = \pi k_b T$ ?!?
Well ok but let's reason this out.
(sorry for delay, I lost connection to the site)
The Maxwell Botzmann distribution tells us that the mean momentum of a particle in a thermal gas is
$\left \langle p \right \rangle = \sqrt{8 k_b T m / \pi}$.
So, if we just take the deBroglie wavelength as $\lambda = h / \left \langle p \right \rangle$, then we get
$\lambda = \sqrt{\pi h^2 / 8 k_b T m}$.
However, that expression disagrees with Wikipedia.
So something is amiss.
Is it wrong to use $\lambda = h / \left \langle p \right \rangle$?
6:05 AM
Are there any kinetic model of ideal gas that is independent of whether the gas is maxwell boltzmann, fermi or bose, bcause wikipedia said the expression applies for different types of gases depending on how the wavelength compared to the interparticle spacings?
@Secret I'm just doing classical statistics right now.
I am (roughly) guessing the starting point in deriving the effective kinetic energy might have nothing to do with assuming the nature of the ideal gas being a maxwell boltzmann distribution
I don't even know what "effective kinetic energy" means.
Let's go at this another way.
We know that the distribution of any one component of the momentum is $P(p) \propto \exp(-p^2 / 2 m k_b T)$ from the standard Boltzmann factor.
That's a Guassian with $\sigma = \sqrt{m k_b T}$.
The total momentum is $p^2 = p_x^2 + p_y^2 + p_z^2$.
Therefore, the distribution of $p^2$ is a chi square distribution of order 3.
...and the distribution of $p$ is therefore a chi distribution.
...which we can is the case from the Wiki article giving the Maxwell Boltzmann distribution.
6:30 AM
ok, so we can start with maxwell boltzman, and our attempt seemed to be somehow missing a $\frac{4}{\pi^2}$ factor
7:11 AM

I find conflicting information here on how p is evaluated
one gives $\sqrt{\pi}$ another gives $\frac{1}{\sqrt{\pi}}$
1 hour later…
8:32 AM
@DanielSank yeah, that's basically the idea except for one thing: with respect to point 1, our (my?) research says that among the factors I used in the survey, there is no clear trend in what people use the HW-like close reason for. There could be a clear trend and it's just something I didn't collect data on. It's worth noting that actually being a homework question, or having educational value, were not on the survey, so I don't believe my results have anything to say about them.
In particular, if one wanted to test the hypothesis that people use the homework-like close reason on questions that they do not believe to be homework, or on questions that they do not believe to be of an educational nature, I don't think this research has anything to say about that hypothesis.
@DanielSank I think it'd have to be $\lambda = h\langle\frac{1}{p}\rangle$, which may be quite different if the distribution isn't sufficiently peaked
2 hours later…
10:17 AM
Q: what is the connection between two phenomenals?

Lan...what is the connection between two phenomenal states in the smallest of scale while they are divided by plank constant time or choronon with a similar of sense? even they are not really action as divided by them seft while actually been divided by the plus effect of camera of human,then they must...

Even a weird mind has a comprehension limit!
10:58 AM
'lo all
Last week @Secret suggested textbooks by Shankar and Sakurai to supplement a Susskind text I'm reading.
does it help?
Would these be the correct books? amzn.to/2bQZ4My and amzn.to/2bJK9QF
@Secret: Haven't purchased books yet…wanted to verify I'd the correct titles
And wow. Textbooks are expensive
They looked different to mine, perhaps older/newer editions. I guess you better wait until the other h barers get on and ask them to be sure
Sounds like a plan. Meanwhile I'm off to slog through more Susskind
2 hours later…
1:12 PM
That weird question caused me to revisit the concept of cellular automaton. Now suppose we have rules (be it probablistic or deterministic) does it account for everything we observed so far in the universe. What does phenomenon without rules look like, what exactly is no rules, is it even well defined...?
IT seems peopel still studying it, it is still fresh
1:33 PM
Well, I guess nature love loops and repeating patterns
2 hours later…
3:41 PM
So I asked a question on stack exchange andit was flagged as too opinion base, so I was linked to here.

Do I just reask it here?
@Dragonsheep : you can try. I'm not sure you'll get any definite answer to your question. But if you asked me how should physicists read a math text differently from mathematicians? I'd say the physicist should have an eye on the underlying reality. He should ask himself How does this mathematical text relate to the real world?
3:57 PM
@JohnDuffield Say, you've said that we cannot know whether the Universe is infinite or not, right?
@SirCumference : not quite. I've said we have no evidence that the universe is infinite. And that there's a non-sequitur wherein people claim a flat universe is an infinite universe. I've also said that I think that the expansion of the universe is evidence that it is not infinite.
@JohnDuffield Hmm...but you define the Universe to be all of space and time, right?
As do most astronomers
@SirCumference : no. All of space. Space is expanding. The universe is expanding. Spacetime isn't. It's a abstract thing that models space at all times, and is therefore a static arena. It's typically depicted as shaped like a flared champagne flute without a stem.
@JohnDuffield The general consensus is that the Universe is all of space and time and its contents
Essentially everything that exists, has existed, and will exist, everywhere
@SirCumference : no it isn't.
4:08 PM
The Universe is all of time and space and its contents. It includes planets, moons, minor planets, stars, galaxies, the contents of intergalactic space, and all matter and energy. The observable universe is about 28 billion parsecs (91 billion light-years) in diameter. The size of the entire Universe is unknown, but there are many hypotheses about the composition and evolution of the Universe. The earliest scientific models of the Universe were developed by ancient Greek and Indian philosophers and were geocentric, placing the Earth at the center of the Universe. Over the centuries, more precise...
If it was the universe wouldn't be expanding.
That first sentence alone has like 5 sources
@JohnDuffield Space is expanding
@SirCumference "universe" has different meanings depending on who says it. E.g. "Observable universe" only denotes a certain spatial region, but no extent of time.
@ACuriousMind We're clearly talking about Universe with the capital U
As in, everything that exists, has existed, and will exist
@SirCumference : space is expanding, the universe is expanding. The universe is all of space and its contents.
4:09 PM
Space ≠ Universe
Space + time + matter = universe
@SirCumference Yeah, that's one meaning of the word. But, for instance, when people say things like "the universe has no center" or "the universe is expanding", they mean a purely spatial extent. You can insist on your "correct" definition all you like, it doesn't change the actual usage of the word at all.
@ACuriousMind I'm insisting on the general consensus
You're right, it can be situational
But if we say the Universe has an edge, it must include all space and matter, at least
@JohnDuffield That said, there any appreciable difference between an infinity or a naught beyond the observable boundary to us at the present, does there?
@SirCumference Sure. Note, however, that being finite and having an edge are two completely different properties
A sphere is finite but has no edge, a half-plane is infinite and has an edge.
@ACuriousMind The Universe, however, doesn't seem to be spherical. It has a small curvature, but we don't even know whether it is negatively or positively curved
@SirCumference : yes. IMHO if the universe was truly infinite it could not expand.
@SirCumference : as far as we know it has no curvature.
4:15 PM
@JohnDuffield You've studied GR, right?
@SirCumference So? There are shapes other than spheres that are finite without edge.
@JohnDuffield Curvature simply means that, if we drew a triangle between spacial coordinates, whether it would be more, less, or equal to 180°
And I believe we do know the signature of the curvature, at least tentatively.
@SirCumference : yes. By reading up on it. I haven't been taught it.
@JohnDuffield All right. The expansion of the Universe means space is dilating. Literally, distances between matter are increasing.
4:16 PM
We seem to be living in a weakly curved de Sitter space, if I can trust the cosmologists in our seminars
@SirCumference : as far as we know it would be exactly 180°. We have no evidence of any curvature.
They aren't moving away from a single point. Space is literally being created between matter. That's why they can drift away faster than light.
Proper distances are increasing.
Based on this explanation of expansion, why couldn't the Universe be infinite?
@SirCumference : right. I think a stress ball gives a nice analogy.
@SirCumference "created" is a dangerous word. Space(time) is not a substance in the traditional sense.
@ACuriousMind You're right. I'm oversimplifying it.
It's safer to say space is dilating.
4:18 PM
@SirCumference : because stress is directional pressure, and space has its innate stress-energy. If the universe was infinite this would be counterbalanced at all locations. The universe could not expand.
@JohnDuffield Are we on the same page on the meaning of expansion?
My analogy is this: imagine all objects on a grid
@SirCumference : yes. Space is expanding.
Suddenly the grid is getting larger. Objects are moving away.
Here's a gif I made
Imagine all matter placed on that infinite grid.
Distances are increasing. Space (the grid) is dilating. That's how it can expand.
No problem. We've all seen the raisin-cake analogy. The cake rises in the oven. It gets bigger. The galaxies are the raisins.
@JohnDuffield I would've called it the dog-leash analogy. The ground expands. You and your dog are being separated, but the leash (gravity) is holding you two together.
@ACuriousMind By the way, feel free to correct me if anything I say is incorrect
@JohnDuffield When you say the Universe is finite, do you mean that there is an edge from which no matter exists, or from which no space (nor matter) exists?
4:25 PM
@SirCumference : note that gravity isn't holding the universe together. A gravitational field is a place where light curves and your pencil falls down. But it isn't a place where space falls down. Or up.
@SirCumference The traditional analogy is dots on a balloon being inflated, the point being that there's no center to inflation. When you expand a flat grid, you'll have a point that stays stationary.
@ACuriousMind True. I always thought that the analogy of the Universe being on the surface of a spherical balloon was unintuitive. I get many questions on Astronomy asking if we can "get inside of the balloon"
@SirCumference That is a very traditional way of overextending the analogy, yes ;)
@SirCumference : the cake has a centre, and an edge. We have no evidence of any higher dimensional curvature as per the balloon analogy. Ergo I have to consider the situation wherein space has an edge. If you were at the "edge of the universe" and you took a step forward, you would find that you couldn't get past this edge. There is no space beyond the edge of space.
If the grid is so big, then where's the stationary point in the grid analogy?
4:28 PM
@ACuriousMind Yeah. People take it so literally, I prefer not to use it. Even if it covers something that my analogy misses.
The basic fact is that manifolds can exist without being embedded in something, i.e. the "balloon world" must be thought of as only the balloon, not the space it exists in
@Secret There is none. The idea is that the grid squares (proper coordinates) are getting larger.
@Secret What has the size of the grid to do with it? In that gif, the stationary point is where the diagonals of the square meet.
@ACuriousMind Which is, of course, the hard part when you first encounter the idea.
@ACuriousMind they can?
4:30 PM
@JohnDuffield So you don't think it is infinite with a boundary, but rather finite with a boundary?
It took me quite a while to learn to take certain abstract mathematical constructs on their own merits.
Which is strange because with other—simpler ideas—I didn't have that problem.
Set were always just sets.
I tend to wrap my head around intrinsic curvature by imagining a gird with squished gridlines, so that any object that follows geodesics will have their trajectories "parallel" to those gridlines that are infintesimally close to them
@dmckee I think the more "geometric" a concept is, the harder we find it to separate our intuitive understanding from the mathematical abstraction
@0celo7 ?
@SirCumference : yes. As far as I know the universe began 13.8 billion years ago. I know of no higher-dimensional curvature, the Planck mission found no evidence of it. IMHO the only option left is a finite universe with some kind of edge.
that is, the whole gird might be lying on some flat plane, thus avoiding that allusion of the embedded space, but the curvature display itself by how the gridlines curve and twist around
4:34 PM
@JohnDuffield The Big Bang is something no cosmologist will claim to understand
@ACuriousMind are we talking about mathematically or physically
All we know is that something happened back then. Our modern theories break down at those scales.
"something happened"
@dmckee I think you don't have an issue with "sets" because you don't have a preconceived notion of what a "set" is supposed to be. But for manifolds, you do have a preconceived notion of what a "shape" or a "geometric object" is.
Especially if you've heard that the Universe began at a singularity. That is simply a claim from extrapolation and using GR (which cannot explain those conditions, mind you. QM would do that better)
4:35 PM
I don't think it helps that many of the introductory examples (say a mobius strip representing a non-orientable surface) are embedable in 3D-space.
But they have to be to be useful as example for the really lost. And around and around we go.
no mathematician visualizes manifolds intrinsically
just prove Whitney and then embed away
@0celo7 Uh, both? Neither does an abstract manifold need a space it is embedded in, nor does spacetime need a larger thing containing it
@dmckee It's actually nontrivial to prove that you can embed all $n$-manifolds in some Euclidean space if you define them to embedded in the first place!
@ACuriousMind I don't think a "topological space" is very physical at all
Welp, a single conversation has forked into two separate ones.
but I could imaging us sitting in some 256-dimensional real embedding space
4:38 PM
@0celo7 I'd heard that, but I've never chased after the proof.
@0celo7 What has that to do with anything?
@dmckee The idea is that there might not be enough room in one R^m to contain all the possible "twisting" that could occur in an n-dimensional manifold
It turns out that 2n+1 is good enough
Anyway, I'll spend the evening playing cards now, so I'll disappear again
This is an issue even if you define manifolds as subsets of R^N!
O, almost forgot the nonorientable manifolds. In that case if I have a space where the intrinsic curvature has a geometry of an nonorientable manifold, then it is not very clear on how my above "curved gridline painted on a plane" will help without the lines crossing in some really visually cluttered fasihion
4:39 PM
good god look at the time
suppose I have a moebius strip with a grid overlaid on it. Is it even possible to project this 3D object onto a piece of paper so that the gridlines can correctly represent the curvature and nonorientability of such object?
@SirCumference : I don't think the universe was some point-singularity 13.8 billion years ago. Just as I don't think there's some point-singularity in the centre of a black hole.
Got an Einstein quote to back that up
Uh oh, the wife is calling. Coming down then Duffield? I have to go. Bye all.
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