@dmckee I kind of wish we would have had more labs that were more or less meant to fail. Most of the ones we did were pretty much set up to work unless the people involved messed up
We also had someone that absolutely insisted that the data matched the predictions (it did not) rather than think about what went wrong
Example today . Many times I cannot see any real changes between the left and right side, but it might be my browser or his/her browser.
Are people increasing their reputation by corrections? It kicks the question and my answers to the top of the queue, and I get a long list of comments. I have...
@bolbteppa I think this can actually be made serious. Theories that seemed to have all the nice things, but otherwise does not fit are so common that perhaps checking if there is a pattern that governs them could be useful
who knows, maybe it will shed more light on how to find theories that work
:) I've read most of Egan's stories, but I still haven't gotten round to reading the Orthogonal and Dichronauts series, although I have looked at the related articles on his Web site. Although I love his diamond-hard approach to scifi, I feel that sometimes all the science exposition can make reading his stuff more like hard work than entertainment. ;) OTOH, I did enjoy all the GR in Incandescence.
@Slereah Check out his site, there's heaps of material about that, for both Orthogonal & Dichronauts. There's even an app where you can play with Dichronauts geometry. There might be an app for Orthogonal too, I can't remember.
FWIW, I was introduced to Greg Egan's work in the early days, when he was working as a programmer for a medical research institute. One of my old school friends was a biochemist at that institute.
I bet if Greg Egan teamed up with his buddy John Baez to write a text book, it'd sell like hotcakes. Especially if they got Randall Munroe (xkcd) to do the illustrations.
If given a theory landscape, the dry lands and the marshlands form a boundary that is the shape of a fractal, it means there exists two theories that is basically identical except for one or two parameters or concepts, and that alone will determine whether you end up in marshland on dry land
The existence of even one such fractal boundary means theories that can describe our universe are in a sense, "very fine tuned" because one parameter differ by even just a infintesimal amount, and then you end up no longer describing reality (or rather in this case, not a form of string theory)
I don't think physical matter have that level of resolution to do that, though I do not rule out you can get something as complicated as the British coastline
@Secret That's not really relevant though. If the parameters are real (or complex), rather than integer or rational, then the parameter space can contain a fractal.
So Wiles' proof showed that no three positive integers $a$, $b$, and $c$ can solve the equation $a^n+b^n=c^n$ for any integer value of $n$ greater than $2$. Now what about the opposite?
What does this mean for any $a$ greater than $2$, and $x$, $y$ and $z$ are positive integers in the equation $...
ack it's starting to get interesting, and then it got cut off
But wow, that the rate of shifting worldlines can form a gradient, never thought of that kind of time travel dynamic before
The assassin is one stable invariant, which probably explains why regardless of where he shifts, it does not matter. His fate is literally wrote into the worldplane itself
I think the finite version of this story of Egan may help me to better refine my scifi, because a similar scenario like that short story can happen since my settings has back to the future style time travel that is used by any pedestrians in a daily life basis
Think time travel as common as public transport if you want to imagine what that means
Also I am predicting in a few days, the time travel within my dreams may start to go crazy, as it is now made aware of this whirlpool dynamics
and no doubt my dreams will start to be inspired by that idea
@PM2Ring I think the assassin should took some S himself so that if he got trapped in a set of measure zero by the dreamer, he can at least map himself out of it and escape
One needs to be a whirlpool in order to stop a whirlpool
But then, perhaps that may not be enough ,as the dreamer can anticipate that, take some S herself so she effectively spread herself all over the world, and then anticipate the assassin taking S to do the same, thus predict where the spread out assassin under S will be, and coordinate those sets of assassins so that they trapped in a higher order cantor set made of the flows themselves
I guess who can win really boils down to, just who can control a higher order of transitions, and correctly coordinate all their lower order counterparts to ensure one or the other get trapped into a cantor set dynamic
> Just as supersaturation is more solute in less spatial volume than expected, by Lorentz invariance dissolution can also happen in less time than expected, as observed in the endochronic, or superluminal, dissolution of resublimated thiotimoline
I like that one
Because thiotimoline is an important component of my scifi. Trying to understand just how this fictional material works is one reason I spent a lot of time studying time travel
Other than that, that article seemed to stick the prefix "super" on pretty much anything
which kinda reflects my sentiment about hidden sector theories somewhat, because people are basically inventing a whole class of duplicate particles in order to hope that one such duplicate will describe dark matter
@Secret Perhaps, but then the assassin is also causing damage to the multiverse structure. And you have the danger that the assassin may go rogue. Out-of-universe, my impression is that Egan wanted to explore the dynamic of whirlpool vs the stability imposed by the assassin.
His novel Quarantine also explores the theme of people controlling Many Worlds time streams. And several of his stories feature people with AI brains that cannot create multiple worlds when they make decisions. See greg-egan.fandom.com/wiki/Qusp
"In Dirac (1945) he proposed a concrete infinite-dimensional representation space whose elements were called expansors as a generalization of tensors. These ideas were incorporated by Harish–Chandra and expanded with expinors as an infinite-dimensional generalization of spinors in his 1947 paper."
Recently I’ve come across a few papers from China (e.g. Xiang-Yao Wu et al., arXiv:1212.4028v1 14 Dec 2012) that make the following statement:
...any quantity which transforms linearly under Lorentz transformations is a spinor.
It’s my understanding that e.g. a 4-momentum vector also transf...
When we last visited the issue of history questions, the dedicated History of Science and Mathematics Stack Exchange was in its early stages. At that time, we decided against closing questions for being historical, but with the implication that it may make sense to revisit that decision someday.
...
@DvijMankad The close votes would have aged away if they'd been cast soon after the question was asked, but the upvotes must have accumulated over a long period of time.. And it got bumped by an answer today, so maybe it'll get migrated away..
There is a long tradition of posting joke papers to arXiv on or around April Fool's Day, especially in astro-ph - see the list below. The fact that all these papers were approved for arXiv offers some evidence (though not proof) that joke papers are okay.
It's probably best to limit joke papers ...
In addition to thinking people should stay off my lawn, I feel that very often people get fixated on formality when their only real problem is needing to really work on the hard concept in front of them.
FSM knows I've been guilty of that a time or three.
Which make this comment
@dmckee The question isn't about the understanding of concepts. It's about a formal definition. — Avantgarde2 hours ago