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4:00 PM
gulp
I...I can't find any evidence.
And Einstein...he didn't write anything on it.
What do I do?
 
just post a screenshot of a book and say it is evidence
 
Test: $\langle\rangle_\text{CFT}$
Is the T shorter than the CF there for anyone else?
 
No
 
Test: $$\langle\rangle_\text{CFT}$$
Hm
I might be going crazy
 
Nope!
But on Mac, which has a different font set.
 
4:07 PM
How about the T in the CFT in the third equation of this question?
 
Only one more day until One Man Army!!
@ACuriousMind Nein, mein Herr.
God why do people have crappy notation
the worst thing is $SO(n)$
Once you have been \mathrm red pilled, everything not \mathrm'd hurts.
 
$\mathrm{Buttocks}$
$\mathfrak {Deutschland}$
2
 
@ACuriousMind You still playing TW3?
do \mathfrak
 
Oh, come on
@0celo7 Yes, almost through
 
$\mathscr{SCREEE}$
 
4:13 PM
yesterday, by ACuriousMind
You need help, @Slereah
 
@Slereah huh?
 
@ChrisWhite You should do whatever it take to keep crank the applications out.
 
Is it an engineering thing to have multiple job offers before you graduate?
 
Well not for me at least :p
 
@0celo7 Depends. Undergrad students of physics can have that if the do the usual things (career fairs, focusing their studies toward getting an industry job, networking...).
 
4:15 PM
But I'm not from a fancy engineering school
 
For grad students it is also possible, but the game is different. Especially if you are looking for a academic job.
Heck, my department has three students whose internships last summer secured them a job offer for their graduation at the end of this year. All majoring in physics.
 
Lies
Nobody in physics finds a job!
Did I ever tell you the title of my proposed thesis btw
"Application of the Atiyah Singer theorem and supersymmetric quantum mechanics in Kahler manifolds"
 
Forces present when cutting of a robot's arm, a computation study?
 
For some reason it was not funded
 
See, you should have gone with the robots.
 
4:18 PM
Didn't he just give up a job in robotics?
 
Robots are boring
Worked two years with the damn things
Mostly it was "connect remotely to the robot, upload file, reboot robot"
 
robots are incredibly boring
 
@Slereah Every experimental discipline has their version of that, and of course it is tedious. The joy, if any, comes in crunching the number that you collect between reboots.
 
Come on guys, let's face it: sometimes you have to do "incredibly boring" things in life to pay the bills.
 
Oh boy, an interesting bibliography element
"To be published"
>:|
 
4:26 PM
@Slereah Do you even know the AS theorem?
 
No
I was supposed to read up on it for it
BUT I GUESS WE WILL NEVER KNOW
 
@Slereah An exercise in Wald references an unpublished thesis
and the author is dead, I think
 
shakes fist
 
fight! fight!
 
4:27 PM
1. Private communication heard in the bathroom at a conference
 
hehe
 
Maldacena is coming to give a talk at my university next week.
You jelly, bro's?
 
@dmckee How good are positrons at penetrating things
and messing up humans
@Danu Who?
 
@Danu you going?
 
@skullpetrol No, not much to learn there...
 
4:31 PM
Not jelly, bro :P
 
(I was obviously kidding)
Of course I'm going to Maldacena's lecture.
 
Do all non-time orientable spacetimes have CTCs
I suspect they do but I never see it discussed
 
You jelly, methinks
 
@Danu Dude, if I wanted to do String Theory with my life, I would have gone to a different school.
So while I think the talk would be interesting, no, I'm not jealous.
 
4:37 PM
music school
 
@Danu The correct term for someone who wants what you have is envious, not jealous.
Also, what would I be envious if there's "not much to learn"?
 
In any case, shouldn't we all be jealous of @ChrisWhite then? He could feasibly just walk up to the dude and chat with him.
 
@ACuriousMind : He did not say jealous
He said jelly
It is definately what jelly means
 
obe
no blue jelly?
 
Wonder how many people in academia alive today actually knew Albert.
 
4:39 PM
Well he died in the 50's
So they'd have to be at least 60
 
Maybe Weinberg?
 
And more probably 80
 
Steven is 82.
 
He could have I suppose
 
obe
you call them by their first names like you're best friends.
 
4:40 PM
But then Einstein would need to have some interest in some new student :p
FRESH MEAT
 
Albert was a punk in that regard.
 
obe
imagine if duffield met einstein right now after showing him his chat logs.
lol what would he do
 
He would show him he is wrong with his own book
 
I asked him that^^
 
Uh, be praised for spreading the word of Albert and the Evidence?
 
4:42 PM
need to train more to check my intuition with the maths
But one thing I am kinda curious on is that

Say you have two wormhole mouths that
 
using diagrams is a bad idea
 
@Slereah What are some non-time orientable spacetimes?
 
The method to generate CTCs is complicated
Hm
Not sure
 
@Slereah Look at the non time-orientable spacetime in Wald's 8th chapter. Is there a CTC there?
 
Usually people go through them pretty quickly
Rarely examples
 
4:47 PM
differ in time (I forgot the correct term to describe that). If the difference is large enough such that you can plot multiple worldines that can form CTC in between, how many times of that observer's worldine will cross a given region since there's a continuum of many possible ways to form CTC within that region

How do we know the number of time the worldline crossing that event is not going to diverge?
 
Hm
Wald, HE and Visser don't give examples
 
Wald does
 
Well yes
All books have that diagram
But it has no metric given
 
who gives a crap
 
me
 
4:49 PM
is there a CTC
 
lol
 
I think so?
 
What I am trying to said is that, if there are multiple CTC sharing the same endpoints, how do we know the numebr of these will not diverge since it can be any number of CTC that can be formed in that region?
because for each CTC you have a worldline revisiting the same point many times
and so to other observers within the region, it as if seeing many copies of some observer at once
?
 
@0celo7 Positrons have all the interactions electrons do plus a significant cross-section for annihilation, so pretty poor. But the annihilation gammas penetrate reasonably well.
 
4:53 PM
@dmckee Ok. We have a positron source in the lab, but it's behind some lead barriers and a huge wall of cubicles and computers.
 
You can just go forward, take the lightcone heading backward, go back a bit, flip again and go back to the original spot
 
And the people on our side of the cubicles don't need badges, but the people on their side do.
 
Don't take a nap by it. Other than that you should be good. If' you're worried borrow a survey meter...
 
Just wondering if that's legit.
 
For the above scenario, it can possibly arise if the mouths of the wormhole are only meters apart but differ in decades

So it is possible for an observer to keep looping back and form a CTC that looks like a spiral in the spacetime diagram

But they are many such spirals that can form for given endpoints , which different turns , so are we expect to see infinite number of observers for that region of spacetime?
 
4:54 PM
I wonder if you can do a simple spacetime like that
Maybe just
 
@0celo7 Probably according to policy, which is always set on the conservative side of "slightly paranoid".
 
Take the flipping in the metric
Like a 2D spacetime like...
 
@dmckee ORNL employees wear three badges inside the reactor building
users only need two
 
$ds^2 = -cos(x) dt^2 + sin(x) dx^2 + f(x) dxdt$
Hm, let's see
 
and apparently they get way more radiation from their yearly chest X-rays
which are legally mandated for "radiation workers"
 
4:56 PM
The signature is $- cos(x)sin(x) - f^2$
 
Has anybody gotten cancer? @0celo7
 
Or $\frac{1}{2} \sin(2x) - f^2$
 
@skullpetrol It's statistically impossible for someone at ORNL to not get cancer...
 
So if $f = 1$ the signature is guaranteed negative
 
4:58 PM
Hm, is this spacetime non-time orientable tho
 
@skullpetrol dude go get face surgery or something
 
I think so
But not quite sure
If identified along $x = 0$ and $x = \pi$
 
can you have a non time orientable spacetime where you don't have some kind of identification?
 
@0celo7 Doesn't surprise me. There are several ways for a badge to read wrong and if they need a really reliable record they'll want some redundancy.
 
No
Spacetimes that are simply connected are always time oriented
 
5:00 PM
proof?
 
I forget
 
Are you trying tell me you wanna rearrange my face pal? @0celo7
 
I think it's in that paper on the line element on Lorentzian manifolds
 
@skullpetrol is Wash playing Oakland this season?
 
@Slereah Or is it not very sensible to consider multiple worldlines get cramped between two points hence the problem is not valid?

I am not sure if you get what I am trying to ask, because I am seriosuly lacking terminology
 
5:03 PM
Not quite sure what you are talking about
Hm, let's see
I think a simple curve would be just a half circle in that metric
$U^\mu = (\cos(\lambda), \sin(\lambda))$, I think
Wait or would that be $x$
 
Nope @0celo7
 
@Slereah
Consider two mouths of a wormhole which are 1 lightminutes apart and the difference in time between the mouths are 2 years.

1) Then theoretically an observer can jump into the wormhole to go back to some earlier time coordinate, and then travel towards the entrance again, rinse and repeat until he/she reaches a time coordinate where the wormhole was first converted into a time machine?
 
Yes.
 
@skullpetrol then no
 
5:08 PM
Let's see
 
@Secret what
 
@ACuriousMind That was a joke :P
 
$g(U,U) = -\cos(x)^3 + \sin(x)^3 + 2 \sin(x) \cos(x)$
Hm wait
Does that make sense
 
@ACuriousMind I'm pretty sure "you jelly, bro" works just fine :)
 
@Slereah
2) But there are many ways the observer can travel so that he/she end up going in a CTC

For example, he she can decide to travel back 5 times, then wait 10 years at the entrance to get back to where he/she started

Or he/she can travel back 3 times, then wait 6 years to end up back where he/she started in spacetime

Or he/she can travel back 3 times, then accelerate towards the entrance mouth in a twin paradox fashion to get bakc where he she started

There are literally a continuum many of such trajectories the observer can take, so for another observer who just entered the regio
 
5:12 PM
There are also many ways to travel without going back in time
 
Are you going to take a date to the talk? @Danu :P
 
For a halfcircle starting at $t = 0, x = 0$, that would be $x(\lambda) = \frac{\pi}{2} (\cos(\lambda) + 1, \sin(\lambda))$
 
@Danu Oh.
 
If yes, then I'll change my answer @Danu :D
 
So the velocity will be $\frac{\pi}{2} (-\sin(\lambda), \cos(\lambda))$
And $g(U,U) = -\cos(x) \sin^2(\lambda) + \sin(x) \cos^2(\lambda) - \sin(\lambda) \cos(\lambda)$
 
5:17 PM
@Slereah yes but those that does not involve any going back in time will not be an observable consequence because their light signal will never reach us (because it is travelling towards the future direction)

The case is very different for CTC regions, because if one can go back in time, then infromation about them can be transmitted with the velocity bound by the light cone towards the future, where some observers some time coordinate ahead of them can possibly received.

But if there are a continuum number of possible such ways to get back to essentially the same point in spacetime, then
 
Diagrams won't help you much to tell you what exactly happens to objects along those CTCs
That's when you need to solve the Cauchy problem
 
@Secret Just because there is a possiblity doesn't mean it has to be realized. I have no idea what you are talking about
 
If you want there's some rather low level papers on the topic using billiard balls on CTCs
 
Your semantic analysis of envy vs jealousy was impressively rigorous @ACuriousMind
 
Yes, it would be impressive
IF
 
Hm, let's see
 
@Slereah You mean "if not" ;)
 
@Slereah
http://plato.stanford.edu/entries/time-travel/

I have read the stuff here 2 years ago, which involve some of the billard ball example you talked about (which is what inspired me the diagrams)

But as you said, it seems to do this rigorously I need to solve the cauchy problem
I think I will read more about in that direction then (because I am not famialr enough with the term cauchy problem)
 
$g(U,U) = -\cos(x) (1 - \cos^2(\lambda)) + \sin(x) \cos^2(\lambda) - \frac{1}{2} \sin(2\lambda)$
$g(U,U) = -\cos(x) + (\sin(x) + \cos(x)) \cos^2(\lambda) - \frac{1}{2} \sin(2\lambda)$
Fuck how do I show it is negative
Well $x$ is within $0$ and $\pi$ so $\sin(x)$ is positive
And that curve is also in that range
Blargh
Let's just check for a few values
But wait, $x$ depends on $\lambda$
Aaaah
whatever
 
Slereah had confirmed my understanding of the following:
1) Then theoretically an observer can jump into the wormhole to go back to some earlier time coordinate, and then travel towards the entrance again, rinse and repeat until he/she reaches a time coordinate where the wormhole was first converted into a time machine

I then ask about the many possible ways an observer can travel via a CTC back to where he/she just started entering the wormhole, such as going back the wormhole 2 times then wait until 4 years has elapsed in his frame
 
5:29 PM
@Secret Of course we expect that the actual world obeys the principle of least action (which may get arbitrarily complicated if gravity is not the only interaction at play).
 
What about
THE PRINCIPLE OF MOST ACTION
Technically we only require that the variation vanishes
It could be a maximum!
"Non-time-orientable lorentzian cobordism allows for pair creation"
Oh boy
Let's see
Maybe a metric!
>sen
ugh
Gonna be a weird function again
 
@Slereah Could even be a saddle point. Technically, it's the principle of stationary action.
 
Oh apparently sen is sin in spanish?
But this isn't a spanish book :O
 
@Acuriousmind and @Slereah I see (and I hope I have made the question make sense to you)
I should do more reading then
 
5:35 PM
I think it's the metric I wrote?
Not quite sure since he didn't write it
but it seems to be
 
@Slereah : "Show that electrons are photons on a moebius strip". Wheeler didn't understand the difference between curved spacetime and curved space. Which is why he called them geons: "a geon is an electromagnetic or gravitational wave which is held together in a confined region by the gravitational attraction of its own field energy. They were first investigated theoretically in 1955 by J. A. Wheeler..." And here we are, fifty years later.
 
Please Duffield
No need to talk to me.
I don't care.
 
::popcorn::
Want some^
?
 
Ok, so my plan:
1. Read about cauchy problem and understand what it is (with all the important math details)
2. solve the cauchy problem in the S^2 # T2 x R spacetime
3. compute the relativistic lagrangian and einstein action
4. Apply variation princple and obtain the Equation of motion
5. check with slereah on results

Sounds like a good plan or am I missing some important steps?
My aim: Trying to understand more on the dynamics of CTCs
 
a bit too ambitious
Perhaps first learn basic GR and math
 
5:43 PM
^
 
I think the word will be revise, as 0celo7 pointed out I am just keep on forgetting stuff I learnt before
but otherwise I should do it
 
if you want to know about the Cauchy problem learn about like
The Picard Lindenhopf theorem first I guess?
In mathematics, in the study of differential equations, the Picard–Lindelöf theorem, Picard's existence theorem or Cauchy–Lipschitz theorem is an important theorem on existence and uniqueness of solutions to first-order equations with given initial conditions. The theorem is named after Émile Picard, Ernst Lindelöf, Rudolf Lipschitz and Augustin-Louis Cauchy. Consider the initial value problem Suppose  f  is uniformly Lipschitz continuous in y (meaning the Lipschitz constant can be taken independent of t) and continuous in t. Then, for some value ε > 0, there exists a unique solution y(t) to the...
The lindy hop
 
ok
footnote: The major drive that drives me on researching time travel as my hobby:
I HATE time travel movie PLOTHOLES and I want to get rid of EVERY SINGLE ONE OF THEM ~lol
 
You can do time travel without plotholes without physics.
 
but that's not scifi, that's science fantasy
people having been doing that and they still got plotholes everywhere
 
5:48 PM
Finding the right book in step 1. Is the most important part of your plan imho.
 
@skullpatrol any recommendations?
 
@Secret SciFi is really not about the science. You may distinguish between hard science fiction and soft science fantasy depending on how hard they try to stay scientifically plausible, but the presence of plot holes is the fault of the writer either way, and has nothing to do with the science.
 
If you want a somewhat hard treatment of time travel you can try Stephen Baxter's books
 
For instance, I think the time travel arc in Babylon 5 is reasonably well done - no scientific explanation for it is given, really, but a there's stable time loop that doesn't have plot holes in it
 
5:51 PM
Also a lot of times the problem isn't that they are plot holes
They are not plot holes but plot devices
There for the narrative's benefit
 
@ACuriousMind have you read Edgar Allan Poe's science fiction work?
 
@skullpetrol No
Didn't even know he wrote one till now
 
@ACuriousMind I don't say the science causes the plotholes, but it is known that time travel stories tend to have a lot of plotholes, probably because of its complex narrative structure it introduce

and time travel, as my my knowledge goes, is still not very well understood because there are no expt examples to check with

will check babylon 5 out

@Slereah I should also give Stephen Baxter's a read.

@therest Thanks guys
 
A lot of early time travel books were mostly an excuse to have historical settings, really
 
@Secret Yes, many writers are lazy and write bad time travel stories. Still, I'm firmly convinced that the plotholes and inconsistencies have nothing to do with them not knowing physics, and everything with them just not thinking hard enough to make it logically consistent
 
5:55 PM
Have fun @Secret :-)
 
there was a book where the hero time travels, changes genders, and becomes his own mother and father
It was "All you zombies" I think
 
And then, there's the kind of stories where you're expected to suspend disblief so it's not supposed to make sense of you overanalyze it.
@Slereah Yep, Heinlein,
 
"The man who folded himself" also has a bunch of time travel orgies with yourself
 
@ACuriousMind knowing the physics helps on the thinking, IMO, especially the physics help train you the logical thinking needed to join the dots together
time travel is a very complex thing, I myself have spent 3 years on studying the media side of it, and I planned to study the physic side of it the next step
 
@Secret You want physics in your novels - go read Greg Egan. He tries to write really hard science fiction. It's interesting, but his stories tend to be pretty dull if you're not interested in physics.
 
5:59 PM
He wrote a story about spacetime having a different signature
 
ok
 

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