The SRK Science Thread 2.0

Yep, pretty much. There is a slight difference from usual complex domains though:

[details=Spoiler]In Clifford algebra, the imaginary number i is equal to the direct product of all 3 basis vectors in 3D Cartesian coordinates.

Spoiler

http://s21.postimg.org/med0rkz9z/i_in_Clifford_algebra.png

There are some weird implications. You can start with a real vector, direct-multiply with another real vector, and what you’ll get is actually an imaginary vector.

Direct product here is different from inner/outer products. It exists ONLY in Clifford algebra.[/details]

You don’t have to check anymore, you can apply them at will. When you use the matrix solutions, you will only ever deal with real numbers, so no worries about complex numbers sneaking in.

Yes, actually. Doing it non-Clifford-style reduces your rotation to something like

Spoiler

http://s11.postimg.org/9jwn2l78j/rotation.png

It’s just easier to do the calculations with exponentials.

Yeah, it was brought up in the GD lounge. I’ve only handled it with uniform circular motion, for an exam in vector algebra. We were using Clifford algebra, that’s why I’m more familiar with the exponential form.

Do you have any ideas how to solve it in a simpler way? Will Lagrangian or Hamiltonian formalism solutions make it easier?

damn, that’s gone past my level of math skillz.

No clue :smiley:
The only thing I think I could handle these days (maybe ever) would be to just do a time-series of evaluations. Which isn’t really a “solution” as such but would give you a picture of the paths.

At least I think I could still remember the free-body and kinetic diagram stuff. It’s been a long time.

Recyclable bioplastics cooled down, cooked up in CSU chem lab

Wow. That’s a milestone.

that’s cool, but

means very hard to do in industrial applications, and or requires expensive modified micro reactors or insane amount of capital to redisign plants from the ground up. I’'ll get hype when the individual can make this into truly innovative technology by making it economically viable.

The real breaktrhough is the biochemistry, bioengineering involved in making this. . This means with this process, materials that wouldn’t polymerize before probably can be polymerized, and that folks is imo the greater breaktrhough.

I read the paper’s abstract (I don’t have full access). @pedoviejo What do you know about ring-opening polymerization (ROP)? It’s too chemistry-specialized for me to know.

The abstract says:

Does ambient pressure mean standard pressure (as in that of STP)? If so, that wouldn’t be too hard to industrialize, I think. Depends on what the catalyst is.

I don’t know what methodology they used. Sounds like what they did new was add the catalyst. If so, that catalyst is a very important breakthrough, like you said.

Well, IIRC, ambient pressure is the pressure that is applied when the medium surrounding an object comes into contact with it. To put it one way, anything in open air on Earth is under the ambient pressure of Earth’s atmosphere. Now, back to the renewable plastic thing, without the catalyst/with 20K atmospheres of pressure, they only got oligomers. However, they want polymers, because stuff like paraffin wax is oligomeric, and that’s not the goal here. With the catalyst, they got the kind of material they wanted at, it would seem, STM. So yes. That’s a breakthrough, alright.

News article on a new type of sound wave that makes inhalable vaccines possible.

New type of sound wave:

Inhalable vaccines:

My thoughts:

Very impressive. 30-second nebulizing sessions? That’d be pretty useful, considering it’s vaccines you’re administering. You can bring vaccines to poor communities and not have to worry about risks of wound infection or AIDS transmission that usually come from using syringes in unhygienic places.

Not to mention pain-free shots for everyone from this point on.

News article on evidence of an undiscovered giant planet within our Solar System.

Summary:

Image caption:

Different pieces of evidence:

Spoiler

My thoughts:

It’s slightly surprising that no one has seen Planet Nine before, but it’s not too implausible either. It’s all pretty cool if it turns out to be true.

It seems plausible, and an eccentric and elongated orbit would explain why we’re only just discovering it.

And with this guy’s track record of finding dwarf planets, I’m more likely to believe him than not.

Although they say it’s a “Super Earth”- 10 times larger than our planet, based on current models of planetary formation, I’d say it’s most likely a gas giant and not a rocky planet.

I’ve been meaning to post this for a while but kept forgetting. One of the final frontiers of science- consciousness. The notion of the quantum mind and its implications in physics has been one of the most intriguing theories in all of science.

Could Quantum Brain Effects Explain Consciousness?

Not mentioned are the relatively recent findings that birds are able to use quantum entanglement to see the earth’s magnetic field and find north. I think the model satisfies many of the holes in our current model of the mind; like how consciousness has a certain qualia that is different from our senses, and why there are studies showing minute and inexplicable precognitive reactions to certain provocative stimuli. It’s very disappointing that most scientists aren’t investigating it further. It reminds me of how many detractors there were to Einstein’s theories by the scientific status quo.

gravitational waves found

Oooh. They’ve been looking for those for years. That’s a milestone.

This was the most intriguing part of the article. The combined solar masses of both black holes should’ve added up to 65, but roughly 3 solar masses were lost in merger.

What makes this interesting is that some of the mass/energy (i.e., information) was lost in various forms during the event. This shows that information can be sent back into the visible universe in significant amounts from a black hole besides the theoretical, “Hawking Radiation”- which proposes that a discreet amount of matter is lost near the Schwarzschild Radius, via the recombination of virtual particles and antiparticles.

I have a question: what is the proper reaction to experience phenomena that should entirely supernatural?

No they’re just in the studio.

Spoiler

http://photos1.blogger.com/hello/57/4261/1024/The%20Three%20Suns-White%20Christmas.jpg

Me reading this thread high: I used to think i was smart until i got on the internet. Niggas be on some next level smart even at srk gd. Talking about catalysts and molecules and shit. Happy Darwin day fam

But then i ate the cinnabun oreos with orange juice and realized I’m hella smart.