bitdizzy
Unfortunately some women actually in the Coq community discussing this on Twitter noticed they were getting all of a sudden a lot more engagement with concern trolls around the time this submission gained traction. "intellectual curiosity" indeed. I hope its worth it, this place existing. I think I can find a replacement though so I'm logging off indefinitely.
Perhaps you think that is a bad thing and to be honest i wouldn't blame you if you decided to ignore all laws and norms of society and behaved like a feral animal towards others. I just don't think you would get very far before you're put in a cage or gunned down.
Special relativity describes a flat lorentzian manifold. The uniform expansion of the universe implies that the curvature of spacetime is slightly negative.
Special relativity is not simply a theory of causality but specifically of the geometry of spacetime. From this theory you can derive predictions about specific phenomena, like causality.
But that doesn't mean other spacetime geometries don't share properties with flat minkowski spacetime. Just not all properties. For example there is no cosmological horizon in minkowksi spacetime but there is for our universe.
I disagree that transfinite numbers are detached from physical intuition since most of the ones you or I could write down can be easily visualized with a few ellipses here or there. But i do think Arnold would consider them marginal players. Perhaps he thought set theory was a formalist distraction from the main of mathematics!
Edit: I meant physical things like apples fam. This is an important philosophical point we don't appreciate because we are so used to them. De Morgan once wrote:
"It is not our intention to follow the earlier algebraists through their different uses of negative numbers. These creations of algebra retained their existence, in the face of the obvious deficiency of rational explanation which characterized every attempt at their theory."
Now, if special relativity holds in the large then there is no reason why they can't also construct a warp bubble. Relative to you and your bubble that bubble is in motion. Since this is allowed, we can construct a closed timelike curve with two judiciously chosen bubbles.
> Which the universe kinda already does, no?
The expansion of the universe does violate special relativity but not in a way that protects warp geometry from creating paradoxes. The kind of violation you would need would distinguish between frames of reference that SR says are equivalent.
> And further, doesn't special relativity already only hold in cases with low gravitational potential - so i.e. not in a gravitational field?
Special relativity holds well enough in most situations that the same argument applies even if you accounted for general relativity except near extreme situations like black holes
Warp drives are not permitted by any deviation from special relativity. You need specific contrived geometries of the entire universe that don't match up with what we know about it.
But if I can make two warp bubbles in two different frames, I can make a round trip that arrives before it starts.
So you need to violate special relativity in a global way to avoid these issues. You have to have a spacetime where only certain warp geometries are possible.
I apologize for being a bit impatient before, these issues are subtle. The only real way to get it is to bear with the math onesself.
In particular it does not matter whether you use a warp drive or not. The violation occurs relative to reference frames outside of the warp bubble where special relativity fully applies. Here, explicitly looks like a worked out example: http://exvacuo.free.fr/div/Sciences/Dossiers/Time/A%20E%20Ev...
You can create instances of FTL travel or communication that don't violate causality. But the ability to perform such FTL tricks implies the possibility of constructing a closed timelike curve so long as you're talking about a localized phenomenon like a warp drive or tachyon where special relativity holds outside of a negligible area.
If you're messing with the global geometry of spacetime then you can make very weird things happen and I would not be surprised if there were such a geometry that allows FTL communication in a limited way that doesnt allow CTCs. But that would not like our universe or a warp drive, a specifically localized situation.
You are more convinced by a metaphor than the actual theory of relativity. That can't be helped.
https://arxiv.org/abs/2010.16084
This paper examines discrimination based on startup founders' gender, race, and age by early-stage investors, using two randomized controlled trials with real venture capitalists. The first experiment invites U.S. investors to evaluate multiple randomly generated startup profiles, which they know to be hypothetical, in order to be matched with real, high-quality startups from collaborating incubators. Investors can also donate money to randomly displayed startup teams to show their anonymous support during the COVID-19 pandemic. The second experiment sends hypothetical pitch emails with randomized startups' information to global venture capitalists and compares their email responses by utilizing a new email technology that tracks investors' detailed information acquisition behaviors. I find three main results: (i) Investors are biased towards female, Asian, and older founders in "lower contact interest" situations; while biased against female, Asian, and older founders in "higher contact interest" situations. (ii) These two experiments identify multiple coexisting sources of bias. Specifically, statistical discrimination is an important reason for "anti-minority" investors' contact and investment decisions, which was proved by a newly developed consistent decision-based heterogeneous effect estimator. (iii) There was a temporary, stronger bias against Asian founders during the COVID-19 outbreak, which started to fade in April 2020.
> Using Music theory is like using English as the tech lingua franca instead of Latin or Esperanto, it's not about imperialism, it's just too troublesome to learn and change and does the job pretty well anyway. The idea that ideas carry over all of the context of their creation is simply insane.
English is a natural language and all technical concepts are equally well expressed in most natural languages perhaps with the need to enrich the vocabulary.
A specific framework for analyzing music which emphasizes certain specific structures and discards considerations that other musical traditions hold as important creates systematic biases in the understanding of music.
A better metaphor would be perhaps be expressing algorithmic ideas in a language where only "for" loops were deemed important and everything else a derivative concept.
The fact that you think this bias towards specific forms of European music doesnt have consequences doesnt make the idea insane. I think the fact that you have to resort to that kind of labeling speaks to a fragility in your worldview.
Schenker himself admitted to white supremacist values in the development of his ideas. Of course it was en vogue at the time.
The music under study isn't white supremacist itself of course, nor is the structural analysis. Whiteness is usually imputed post hoc by less talented hangers-on.
> It's people like you that inspire me to counteract this trend with full force.
What does that look like? What actual effects on the world do you try to make or support others making because I am opposed to fascism?
> Who the fuck decides? Everyone decides norms in the small bubble around them. When people organize their influence grows too. Some people have too much power. Some people should never have power, like nazis.
A lot of the arguments in this thread you will notice are about whether deplatforming makes nazis less nazis. Well, that's not the point. The point is to make sure they aren't accepted, that they can't use the public square to recruit and gain power.
Some would argue that this is ineffective, but they are now stuck in the bind of thinking that access to places of public discourse is both an important right and also practically unimportant.
Maybe they're too young to remember the holocaust deniers on use usenet or how ineffectual stormfront was before 4chan and before mass social media. People who are hungry for power will try to gain it in the easiest ways possible.
If you think them having power would suck, then you want to make it harder for them.
I simultaneously think facebook and twitter and CBS and fox news etc. have too much control over public discourse and also don't want white supremacists to be able to freely use that power to bring back hell on earth. That includes the new york times giving the likes of Richard Spencer space on their page, Tucker Carlson crying about how much white people are under attack and facebook letting white supremacists run recruiting groups thousands in size.
"Arbitrary criteria" describes all norms.
Namely, a hermitian operator is some view of the world, its eigenbasis tells you what you can see from that viewpoint. Two hermitian operators can be incompatible in that they can't be simultaneously diagnolized.
Entanglement is another weirdness that makes perfect sense internally. The tensor product of projective hilbert spaces is not the same as the cartesian product. The segre embedding captures this. Theres more to the geometry of quantum phenomena than naively expected.
The outcome of measurements collapsing to the eigenbasis of a hermitian operator has a beautiful an elegant geometric interpretation. It makes perfect sense really, just not classical sense. Decoherence explains why we see collapse to this set very well.
What is utterly baffling and puzzling is that we only ever see one particular outcome. Decoherence cannot explain that and nothing in quantum mechanics explains that.
But what is meant by tribalism?